m.sc. physics syllabus - udayanath college of science and...

M.SC. PHYSICS SYLLM.SC. PHYSICS SYLLM.SC. PHYSICS SYLLM.SC. PHYSICS SYLLM.SC. PHYSICS SYLLABUSABUSABUSABUSABUS

(2013 – 2014) And OnwardsU.N. (AUTONOMOUS) COLLEGE OF SCIENCE & TECHNOLOGY

ADASPUR, CUTTACK-754011, ODISHA

U.N. AUTONOMOUS COLLEGE OF SCIENCE & TECHNOLOGYPRACHI JNANAPITHA, ADASPUR, CUTTACK, ODISHA

Email : [email protected] : www.udayanathcollege.org

PHONE / FAX - 0671 - 2805409

Syllabus approved by Board of Studies,Academic Council and Governing Body of

Udaya Nath Autonomous College ofScience & Technology, Prachi Janapitha,

Adaspur, Cuttack.

1234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234563

M.Sc. Physics Syllabus

P.G. Department of PhysicsChoice Based Credit System

FIRST SEMESTERA : Core Compulsory PapersTheory Credit Teaching Marks

Point HoursPHY 101 : Classical Mechanics 6 60 – 65 100PHY 102 : Mathematical Methods 6 60 – 65 100PHY 103 : Quantum Mechanics – I 6 60 – 65 100PracticalPHY 104 : Modern Physics and Optics/ 10 150 – 180 100

Computational Methods in Physics

SECOND SEMESTERTheory Credit Teaching Marks

Point HoursPHY 201 : Quantum Mechanics - II 6 60 – 65 100PHY 202 : Statistical Mechanics/ 6 60 – 65 100

Classical ElectrodynamicsPHY 203 : Basic Solid State Physics 6 60 – 65 100PracticalPHY 204 : Modern Physics and Optics/ 10 150 – 180 100

Computational Methods in Physics

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456

Udayanath Autonomous College of Science & Technology

4

THIRD SEMESTERCredit Teaching MarksPoint Hours

PHY 301 : Advanced Quantum Mechanics 6 60 – 65 100PHY 302 : Electronics (Practical) 10 150 – 180 100PHY 303 : a/b/c/d (B:Core Elective Papers-Theory) 6 60 – 65 100PHY 304 : Basic Electronics (D: Free Elective Paper)/ 6 60 – 65 100

Statistical MechanicsPHY 305 : Dissertation/Project : 8 200Topics include :(i) General Theory of Relativity, (ii) Cosmology, (iii) Astroparticle Physics,(iv) High Energy Physics, (v) Nano Science and Nano Technology, (vi)Materials Science, (vii) Nuclear Matter, (viii) Black Hope Physics, (ix)Accelerators Physics, (x) Data Analysis and Computational Simulation.

FOURTH SEMESTERCredit Teaching MarksPoint Hours

PHY 401 : Basic Nuclear and Particle Physic 6 60 – 65 100PHY 402 : Classical Electrodynamics/ 6 60 – 65 100

Basic ElectronicsPHY 403 : a/b/c/d (B:Core Elective Papers-Theory) 6 60 – 65 100PHY 404 : a/b/c/d (B:Core Elective Papers-Practical) 10 150 – 180 100

1234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234565


B : Core Elective PapersTheory Credit Teaching Marks

Point HoursPHY 303a : Advanced Particle Physics and

Field Theory - I (3rd Sem) 6 60 – 65 100PHY 303b : Advanced Condensed Matter

Physics – I (3rd Sem) 6 60 – 65 100PHY 303c : Advanced Nuclear Physics - I

(3rd Sem) 6 60 – 65 100PHY 303d : Electronics & Instrumentation - I

(3rd Sem) 6 60 – 65 100PHY 403a : Advanced Particle Physics and

Field Theory - II (4th Sem) 6 60 – 65 100PHY 403b : Advanced Condensed Matter

Physics – II (4th Sem) 6 60 – 65 100PHY 403c : Advanced Nuclear Physics - I

(4th Sem) 6 60 – 65 100PHY 403d : Electronics & Instrumentation - II

(4th Sem) 6 60 – 65 100PracticalPHY 404a : Nuclear and Particle Physics (4th Sem) 10 150 – 180 100PHY 404b : Solid State Physics (4th Sem) 10 150 – 180 100PHY 404c : Electronics & Instrumentation

(4th Sem) 10 150 – 180 100

C : Allied Elective PapersTheory Credit Teaching Marks

Point HoursPHY 103 : Quantum Mechanics – I 6 60 – 65 100PHY 104 : Computational Methods in Physics 6 60 – 65 100PHY 203 : Basic Solid State Physics 6 60 – 65 100PHY 303a : Advanced Particle Physics

and Field Theory – I 6 60 – 65 100PHY 303b : Advanced Condensed Matter

Physics – I

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


6

D : Free Elective PaperTheory Credit Teaching Marks

Point HoursPHY 304 : Basic Electronics (3rd Sem) / 6 60 – 65 100

Statistical Mechanics

The Core Compulsory Papers, given in “A” is compulsory for all theM. Sc. (Physics) students.

M.Sc. (Physics) students have to choose one theory paper out of thecore elective papers (Special Papers) in “B” during their 3rd Semester.They have to choose one theory and one practical paper out of the coreelective papers (Special Papers) in ‘’B’’ during their 4th Semester.

M.Sc. (Physics) students have to choose one dissertation/project topicin 3rd Semester.

Allied Elective Papers as given in ‘C’ can be chosen by students ofallied departments.

The free elective paper given in “D” can be perused by the M.Sc. Physicsstudents in 3rd Semester. Any other department students can also choosethis paper.

Mark and Credit Distributions

Semester Credit Marks

1st 28 400

2nd 28 400

3rd 36 600

4th 28 400

Total 120 1800

1234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234567


M.Sc. Physics Syllabus (Utkal University)

FIRST SEMESTERPHY 101

Classical Mechanics

Unit – I : 24 MarksMechanics of a System of Particles, Lagrangian Fonnulation,

Velocity-Dependent Potentials and Dissipation Function, ConservationTheorems and Symmetry Properties, Homogeneity and Isotropy ofSpace and Conservation of Linear and Angular Momentum,Homogeneity of Time and Conservation of Energy.Hamiltonian Formulation:

Calculus of Variations and Euler-Lagrange’s Equation,Brachistochrone Problem, Hamilton’s Principle, Extension ofHamilton’s Principle to Nonholonomic Systems, LegendreTransformation and the Hamilton Equations of Motion, PhysicalSignificance of Hamiltonian, Derivation of Hamilton’s Equations ‘ofMotion from a Variational Principle, Routh’s Procedure, ∆-Variation,Principle of Least Action.

Unit- II- 22 Marks

Cononical Transformations :Canonical Transformation, Types of Generating Function,

Conditions for Canonical Transformation, Integral Invariance ofPoincare, Poisson Bracket, Poisson’s Theorem, Lagrange Bracket,Poisson and Lagrange Brackets as Canonical Invariant, InfinitesimalCanonical Transformation and Conservation Theorems, Liouville’sTheorem.

Full Mark-l00Mid. Sem. - 30End Sem. - 70

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


8

Hamilton Jacobi Theory :Hamilton-Jacobi Equation for Hamilton’s Principal Function,

Harmonic Oscillator and Kepler problem by Hamilton-Jacobi Method,Action-Angle Variables for completely Separable System, KeplerProblem in Action-Angle Variables, Geometrical Optics and WaveMechanism

Unit- III : 24 MarksSmall Oscillation :

Problem of Small Oscillations, Example of Two’ coupledOscillator, General Theory of Small Oscillations, Normal Coordinatesand Normal Modes of Vibration, Free Vibrations of a Linear TriatomicMolecule.

Rigid Body Motion: The Independent of Co-ordinates of a RigidBody, Orthogonal Transformations. The Euler’s angles. The Cayley-Klein parameters; Euler’s Theorems on the Motion of a Rigid body,Infinitesimal Rotations, Rate of Change of a Vector, The Coriolis Force.Rigid Body Dynamics :

Angular Momentum and Kinetic Energy of Motion about a Point.The Inertia Tensor and Moment of Inertia, Eigenvalues of InertialTensor and the Principal Axis, Transformation. The Euler Equationsof Motion, Torque-free motion of a rigid body. The Heavy SymmetricalTop with One Point Fixed. Elementary Idea about Nonlinearity andChaos.Books:Text: Classical Mechanics - H. GoldsteinRef: Mechanics - Landau and Liftshitz

Analytical Mechanics, L. Hand and J. Finch.Classical Mechanics - Corben & StehleClassical Dynamics - Marion & Thornton

1234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234561234567890123456789012345678901212345678901234567890123456789012123456789012345678901234569


PHY 102MATHEMATICAL METHODS OF PHYSICS

UNIT – I : 24 MarksCOMPLEX VARIABLES AND TENSOR ANALYSIS(A) COMPLEX VARIABLE

Zeros and singularities of complex functions, Evaluation ofresidues of complex functions, The residue theorem, Evaluation ofintegrals of the following types(a) Integration round the unit circle(b) Improper integrals involving rational functions(c) Improper integrals involving trigonometric functions(d) Integration along indented contours.

(B) GENERAL TENSOR ANALYSISContravariant and covariant tensors, Tensors of rank two, Tensor

algebra, Relative tensors, Kronecker delta and Levi-civita Tensordensity, Symmetry properties of tensors, Pseudo tensors, Metric tensorand properties, Christoffel symbols of 1st and 2nd kind and properties(transformation laws not required), formulas for covariant derivativesof contravariant, covariant vectors. Tensor forms of gradient,divergence, curl and Laplacian.

UNIT-II : 24 MarksDIFFERENTIAL EQUATIONS AND THEIR SOLUTIONS(SPECIAL FUNCTIONS):

Solution of Bessel differential equation by (i) Power seriesmethod and (ii) Generating function method, Bessel function Jv(x),Rayleigh’s formula, Recurrence relations, Integral representation forJv(x). Neumann function Nv(x), Recurrence relations, Wronskian of Jv


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


10

and Nv, Asymptotic expansions of Jv and Nv Bessel functions of halfodd order, Orthonormality of Bessel functions, Hankel functions,Spherical Bessel function JI and Neumann function n1 and Hankelfunctions hI

(1) and hI(2), Rayleigh’s formula, Orthonormality of spherical

Bessel functions.

Laguerre differential equation and its solution, Laguerrepolynomial Ln(x), Generating function for Ln(x), Rodrigues formula,Recurrence relations, Orthogonality condition, Integral representation,Associated Laguerre differential equation and its solution, AssociatedLaguerre polynomials, Orthogonality relations.

Hypergeometric equation and its solutions, Hypergeometricfunction and its properties, Integral representation, Gauss formula,Linear relationships of hypergeometric functions, Solution ofconfluent hyper geometric equation, Confluent hypergeometricfunction and properties, Integral representation, Relation of confluenthypergeometric functions with other special functions.

UNIT-III : 22 Marks

GREEN’S FUNCTION AND GROLIP THEORY

(A) GREEN’S FUNCTION

Solution of non homogeneous Sturm-Liovile equation andGreen’s function in one dimension, Green’s function in two and threedimensions. Symmetry properties, Construction of green’s functionusing eigen function expansion technique.

(B) GROUP THEORY

Groups and sub groups, homomorphism and isomorphism,Continuous groups, Lie groups, generators and structure constants,SO(2), SO(3) and SU(2) groups, SU(2) and SO(3) homomorphism.

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345611


11

REFERRENCE BOOKS:1. Mathematical Methods for Physicst: G.B. Arfk:n, H.J.Weber (Academic press)

2. Mathematical methods of physics: J. Mathews and R.L Walker (Pearson)

3. Mathematical Physics: lntroduction to Mathemetiacl physics: C. Harper (PHI)

4. Mathematical physics: P.K. Chattopadhyay

5. Mathematical physics: B.S.Rajput (Pragati Prakashon)

6. Complex variables (Schaum): M.R.Spiegel (McGraw Hill)

7. Advanced Engineering Mathematics: Kreyszig (John Wiley)

PHY 103Quantum Mechanics - I

Unit-I : 22 MarksGeneral Principles of Q.M.

Linear Vector Space Formulation : Linear Vector Space (LVS)and its generality, Vectorsscalar product, metric space, basis vectors,linear independence, linear superposition of general quantum states,.orthonormality of basis vector, completeness, Schmidt’sorthonormalisation procedure, Dual space, Bra and Ket vectors.

Operators - linear, Adjoint, hermitian, unitary, inverse, antilinearoperators, Noncommutativity and uncertainty re1ation, complete setof compatible operators, Simultaneous Measurement, Projectionoperator, Eigenvalues and eigen vectors of linear, hermitian, unitaryoperators, Matrix representation of vectors and operators, matrixelements, eigenvalue equation and expectation values, algebraic resulton eigenvalues, transformation of basis vectors, similaritytransformation of vector and operator representation, diagonalisation.

Vectors of LVS and wave function in-coordinate, momentumand energy representations.


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


12

Quantum Dynamics:Time evolution of quantum states, Time evolution operator and

its properties, Schrodinger picture, Heisenberg picture, Interactionpicture, Equations of motion, Operator method solution of 1DHarmonic oscillator, Matrix representation and time evolution ofcreation and annihilation operators, Density matrix.

Unit-II : 24 MarksRotation and Orbital Angular Momentum :

Rotation Matrix, Angular momentum operators as the generatorsof rotation, Lx, Ly, Lz and L2 and their commutator relations, Raisingand lowering operators. (L+ and L– ). Lx, Ly,. Lz and L2 in sphericalpolar coordinates, Eigen values and Eigen functions of Lz, L2 (OPmethod) spherical harmonics, Matrix representatin of L– and L2.Spin Angular Momentum:

Spin1/2 particles, pauli spin matrices and their propertiesEigenvalues and Eigen functions, Spinor transformation under rotation.Addition of angular momentum:

Total angular momentum J. Eigen value problem of Jz and J2,Angular momentum matrices. Addition of angular momenta and C.G.co-efficients, Angular momentum states for composite systems in theangular momenta (1/2,1/2) and (1, 1/2)

Unit- Ill : 24 MarksMotion in Spherically symmetric Field:

Hydrogen atom, Reduction to equivalent one body problem,Radial equation, Energy eigen values and eigen fuctions, degeneracy,radial probability distribution. Free particle problem incoming andoutgoing spherical waves, expansion of plane waves in terms ofspherical waves, Bound states of a 3-D square well, particle in a sphere.

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345613


Text Books :Quantum Physics - S.Gasiorowicz .Quantum Mechanics - L –I Schiff/ J.Sukurai / E. Merzbacher/A.Messiah, Vol.IAdvanced Quantum Mechanics - P. RomanQuantum Mechanics – R. Shankar: Quantum Mechanics – A. Ghatak and S. LokanathanQuantum Mechanics – S. N. BiswasRef. Books:Quantum Mechanics – A. DasElementary Theory of Angular Momentum – M.E. RosePrinciples of Quantum Mechanics – P. A. M. DiracQuantum Mechanics (Non-relativistic theory) – L. D. Landau and E.M. Lifshitz

PHY 104 (Practical Paper)Computational Methods in Physics

Introduction to computer hardware and software, introductionto storage in computer memory, stored programme concepts, storagemediacomputer operating system, LINUX commands;Prouramming with FORTAN:

Programme solving on computers - algorithm and flow charts inFORTAN 77 data types, expressions and statements, input/outputcommands, sub programmes,Exercises for acquaintance:

1. To find the largest or smallest of a given set of numbers2. To generate and print first hundred prime numbers


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


14

3. Sum of an AP series, GP series, Sine series, Cosine series4. Factorial of a number5. Transpose a square matrix6. Matrix multiplication, addition7. Evaluation of log and exponentials8. Solution of quadratic equation9. Division of two complex numbers

10. To find the sum of the digits of a numberNumerical Analysis:

1. Interpolation by Lagrange method2. Numerical solution of simple algebraic equation by Newton-

Raphson method3. Least Square fit using rational functions.4. Numerical integration: Trapezoidal method, Simpons method,

Romberg integration, Gauss quadrature method5. Eigenvalues and eigenvectors of a matrix6. Solution of linear homogeneous equations7. Trace ofa matrix8. Matrix inversion.9. Solution of ordinary differential equation by Runge-Kutta

Method10. Introductory Monte Carlo techniques

Books:1. Fortran 77 and Numerical methods - C. Xavier2. P.S. Grover - Programming and Computing with FORTRAN 77/90

(Allied Publishers t 992)

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345615


3. V. Rajaraman - Elements of Parallel Processing (Printice Hall, 1990)4. V. Rajaraman – Fundamentals of Computers (Printice Hall, India)5. R.N. Reddy & C.A. Ziegler - FORTRAN 77 (jaico Book, 1989)6. Wolfram- Mothematica Book7. W. H. Press etal - Numerical Recipe

PHY 204 (Practical Paper)Modern Physics and Optics

Full Marks – 100Mlehelson InterferometerFabry-Perot interferometersMeasurement of Rydberg constantConstant deviation spectroscopee/m measurement by Broun tubee/m measurement by MagnetronMagnetic field measurement by search coilFerroelectfic transmission point by Dielectric Constant MeasurementRectification by junction Diode using various filtersCharacteristics of a TransistorDielectric constant of solid (wax) by Lecher WireVerification of Richardson’s T3/2 lowDetermination of Planck’s constant by total Radiation MethodHysteresis loop tracerDetermination of ‘e’ by Millikan’s oil drop experimentMeasurement of attenuation and phase shift of A.C. in L.C.R. networkRF characteristics of coilStudy of power supplyCalibration of an oscilloscope


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


16

SECOND SEMESTERPHY 201

Quantum Mechanics – II

Unit – I : 24 MarksApproximation Methods for Stationary States:

Rayleigh Schrodinger Method for Time-Independent Non-Degenerate Perturbation Theory, First and Second Order Correction,Perturbed Harmonic Osdllator, Anharmonic Oscillator, The StarkEffect, Quadratic Stark Effect and Polarizability of Hydrogen atom,Degenerate Perturbation Theory, Removal of Degeneracy, ParitySelection Rule, Linear Stark Effect of Hydrogen atom, Spin-OrbitCoupling, Relativistic Correction, Fine Structure of Hydrogen likeAtom, Normal and Allomalus Zeeman Effect, The Strong-FieldZeeman Effect, The Weak-Field Zeeman Effect and Lande’s g-factor.Variational Methods:

Ground State, First Excited State and Second Excited State ofOne-Dimensional Harmonic Oscillator, Ground State of H-atom andHe-atom, Hydrogen molecule, Hydrogen molecule-ion, Rotational andVibrational Degrees of Freedom.

UNIT – II : 24 MarksWKB Approximation Method:

General Formalism, Validity of WKB Approximation Method,Connection Formulas, Bohr Somerfield Quantization Rule,Application to Harmonic Oscillator, Bound States for Potential Wellswith One Rigid Wall and Two Rigid Walls, Tunneling Through aPotential Barrier, Cold Emission, Alpha Decay and Geiger-Nuttalrelation.


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345617


Time Dependant Perturbation Theory:Transition Probability, Constant and Harmonic Perturbation,

Fermi’s Golden Rule, and Electric Dipole Radiation and Selectionrules. Spontaneous Emission Einstein’s A, B-Co-efficients, BasicPrinciples of Laser and Maser.

UNIT – III : 22 MarksScattering Theory:

Scattering Amplitude and Cross Section. Born Approximation.Application to Coulomb and Screened Coulomb Potential, PartialWave Analysis for Elastic and Inelastic Scattering, Effective Rangeand Scattering Length, Optical Theorem, Black Disc-Scattering, Hard-Sphere Scattering, Resonance Scattering from a Square Well Potential.Text Books:Quantum Physics - S. Gasiorowicz.Quantum Mechanics- N. ZettiliQuantum Mechanics - R. ShankarQuantum Mechanics - A. K. Ghatak and S. LokanathanQuantum Mechanics - A. DasReference Books :Quantum Mechanics- E. MerzbacherQuantum Mechanics - S. N. BiswasQuantum Mechanics - L. I. SchiffQuantum Mechanics Vol I - A. MessiahPrinciples of Quantum Mechanics - P. A. M. DiracQuantum Mechanics (Non-relativistic theory) - Landau and LifshitzModern Quantum Mechanics - J. J. SakuraiAdvanced Quantum Mechanics - P. RomanElementary Theoryof Angular Momentum - M.E. Rose

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


18

PHY 202.Statistical Physics

Unit-I : 22 MarksClassical Statistical Mechanics:

Postulate of classical statistical mechanics, Liouville’s theorem,micro canonical ensemble, Derivation of thermodynamics,equipartition theorem, classical ideals gas, Gibb’s Paradox.

Canonical ensemble and energy fluctuation, grand fluctuation,grand canonical ensemble and density fluctuation, Equivalence ofcanonical and grand canonical ensemble.

Unit –II : 24 Marks

Quantum Statistical Mechanics:

The density matrix, ensembles in quantum statistical mechanics;Ideal gas in microcanonical and gramd canonical ensembles; Equationof state for ideal Fermi gas, Theory of white dwarf stars. Ideal BoseGas, Photons and Planck’s law Phonons, Bose-Einstein condensation

Unit – III : 24 Marks

Phase Transition :

Thermodynamic description of phase transitions, phasetransitions of second kind, Discontinuity of specific heat, change insymmetry in a phase transition of second kind. Ising model: Definitionof Ising model, ID-Ising model.

Text Book:

Statistical Mechanics - K. Huang

Statistical Mechanips - R. K. Pathria


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345619


Retcrence Book :Elementary Statistical Physics - C. KittelStatistical Mechanics - F. MohlingStatistical Mechanics - Landau and LifsitzPhysics Transitions & Critical Phenomena - H.E. StanlyThermal Physics -C. KittelFundamentals of Statistical & Thermal Physics - F. Reif

PHY 203Basic Solid State Physics

Unit – I : 22 MarksCrystal binding :

Crystal of inert gases, ionic crystals, covalent crystals, Metallicbinding, and hydrogen bounded crystals.Phonons and lattice vibration:

Vibrations of monatomic and diatomic lattices, dispersion,relation, optic and acoustic modes, Quantum of lattice vibration andphonon, phonon momentum, inelastic scattering of neutrons andphotons by phonons.Thermal Properties of insulators:

Lattice heat capacity, Debye & Einstein model, Anharmoniccrystal interactions, thermal conductivity and thermal expansion.

Unit – II : 24 MarksFree Electron Fermi Gas:

Density of state in one dimension, effect of temperature on Fermi-Dirac distribution, Free electron gas in three dimensions, Heat capacityof electron gas, Electrical and thermal conductivity of metals.


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


20

Band theory :Electrons in per iodic potential, Bloch’s theorem, Cronig Penny

model orgin of band gap.Unit – III : 24 Marks

Semiconductors:Intrinsic and impurity semiconductors, band gap, law of mass

action, intrinsic carrier concentration, mobility in the intrinsic region,p-n junction rectification.Superconductivity:

Experimental survey, Meissner effect, Type-I and Type-IIsuperconductors, thermodynamics of superconductors, London’stheory, Josephson effect, Basic concepts of cooper pairing in BCStheory.Text Books:

Introduction to Solid State Physics - C. KittelSolid State Physics - Ashcroft and MerminPrinciples of condensed matter physics - P. M. Chaikin and T. C.Lubensky

Reference Books:Solid State Physics- A.J. DekkerQuantum Theory Solid State - J. CallawaySolid State Physics - D.E. Animaler

PHY 204 (Practical Paper)Modern Physics and Optics

Michelson InterferometerFabry-Perot interferometers


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345621


Measurement of Rydberg constantBabinet’s compensatorConstant deviation spectrpscopeelm measurement by Broun tubee/m measurement by MagnetronMagnetic field measurement by search coilFerroelectric transmission point by Dielectric Constant MeasurementRectification by junction Diode using various filtersCharacteristics of a TransistorDielectric constant of solid (wax) by Lecher WireVerification of Richardson’s T3/2 lowDetermination of Planck’s constant by total Radiation MethpdHysteresis loop tracerDetermination of ‘e’ by Millikan’s oil drop experimentMeasurement of attenuation and phase shift of A.C. in L.C.R. net workRF characteristics of coilStudy of powers supp1yCalibration of an oscilloscope.

PHY 104 (Practical Paper)Computational Methods in Physics

Introduction to computer hardware and software, introductionto storage in computer memory, stored programme concepts, storagemediacomputer operating system, LINUX, commands;Programming with FORTAN:

Programme solving on computers - algorithm and flow charts inFORTAN 77 data types, expressions and statements, input/outputcommands, sub programmes,


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


22

Exercises for acquaintance:

11. To find the largest ot smallest of a given set of numbers

12. To generate and print first hundred prime numbers

13. Sum of an AP series, GP series, Sine series, Cosine series

14. Factorial of a number

15. Transpose a square matrix

16. Matrix multiplication, addition

17. Evaluation of log and exponentials

18. Solution of quadratic equation

19. Division of two complex numbers

20. 10.To find the sum of the digits of a number

Numerical Analysis :

11. Interpolation by Lagrange method

12. Numerical solution of simple algebraic equation by Newton-Raphson method

13. Least Square fit using rational functions

14. Numerical integration : Trapezoidal method, Simpons method,Romberg integration, Gauss quadrature method

15. Eigenyalues and eigenvectors of a matrix

16. Solution,oflinear homogeneous equations

17. Trace of a matrix

18. Matrix inversion.

19. Solution of ordinary differential equation by Runge-KuttaMethod

20. Introductory Monte Carlo techniques

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345623


Books:Fortran 77 and Numerical methods - C. XavierP .S. Grover - Programming and Computing with FORTRAN 77/90(Allied Publishers 1992)V. Rajaraman – Elements of Parallel Processing (Printice Hall, 1990)V. Rajaraman – Fundamentals of Computers (printice Hall, India)R.N. Reddy & C.A. Ziegler - FORTRAN 77 (jaico Book, 1989)Wolfram – Mothematica BookW. H. Press etal – Numerical Recipe

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


24

THIRD SEMESTERPHY 301

Advanced Quantum Mechanics – II

Unit – I : 24 MarksRelativistic Quantum Mechanics:

Klein-Gordon equation and its drawbacks, Dirac equation,Properties of Dirac matrices, Nonrelativistic reduction of Diracequation, magnetic moment, Danvins term, Spin-Orbit coupling,Poincare transformation, Lorentz group, Covariant fonn of Diracequation, Bilinear covariants, Gordon decomposition.

Unit-II : 24 MarksFree particle solution of Dirac equation, Projection operators

for energy and spin, Physical interpretation of free particle solution,Zitterbewegung, Hole theory, Charge conjugation, space reflectionand time reversal symmetries of Dirac equation. Continuous systemsand fields. Transition describe to continuous systems, Lagrangian andHamiltonian Formulations, Noether’s theorem.

Unit - III : 22 MarksQuantization of free fields:

Second quantization, Equal Time Commutators, NormalOrdering, covariant quantization of e.m. field, Quantlzation of neutralscalar field, and Dirac field, Propagators for scalar, spinor and vectorfields.Text Books:Advanced Quantum Mechanics - J.J. SakuraiRelativistic Quantum Mechanics - J.D. Bjorken and S.D. DrellRelativistic Quantum FIelds - J. D. BJorken and S.D. DrellQuantum Field Theoty - F. Mandl and G. Shaw


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345625


Reference books :Quantum Field Theory - C. Itzykson and J. ZuberQuantum Field Theory - M. E. Peskil1 and D. V. Schroeder.Quantum Fie1d Theory - L. H .RyderQuantum Eieid: Theory - S. Weinberg

PHY 302Electronics Practical

1. Setting of a transistor amplifier and determination of theamplification factor at various frequencies

2. Frequency response of transister amplifier with the withoutfeedback

3. Characterstics of Harteley oscillator4. Determination of different parameters of transistor5. Study of multivibrator - Astable6. Study of multivibrator - Bistable 7. Study of multivibrator - Monostable8. VSWR’ in a microwave transmission line9. Study of squarewave response of R.C. Network10. Modulation of detection11. Lock-in-amplifier12. Design of operational amplifier circuit13. Design of a field-effect transistor crystal oscillator14. Study of different gates.15. Study of digital voltmeter and frequency counter.


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


26

PHY 303aAdvance Particle Physics and Field Theory-I

Unit-I : 32 MarksTwo nucleon state vectors, Isospin, Strangeness and Hypercharge,

Lepton and Baryon number conservation, Yukawa’s theory, Neutrinos,Partity, Parity conservation and nonconservation, Time reversal,Consequences of time reversal in variance, Charge conjugation, G-parity, Statement of CPT theorem and its consequences, Proof ofequality of mass and life time for particle and anti particle.

Unit-II : 24 MarksUnitary Symmetry and the classification of state, Hadrons and

SU (3) multiplets, properties of representations, Young-Tableuxmethod for direct products of representations, Applications of SU(3)flavour symmetry and of broken SU(3) flavour

Symmetry Gell-Mann-Okubo mass formula for Baryons andMesons, Coleman-Glashow relation Quarks and Gluons, Colourhypothesis, Evidence of colour, Magnetic moment of baryons, Baryonwave functions.

Unit- III : 24 MarksQuantum Electrodynamics (QED):

The S-matrix expansion, Time ordered product, Normal orderedproduct, Wick’s theorem Feynman diagrams in configuration andmomentum space, First order terms in S-matrix, Compton scattering,Electron electron scattering, closed loop, Feynman rules for QED,QED Lagrangian and gauge invariance.Text Books :Introduction of High Energy Physiccs - D.H. PerkinsElementary Particle Physics - D.J.Griffiths


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345627


Elementary Particles - I. J. HughesChapters 5,6,9,11, An Introduction to Elementary Particles- W.S.C. WillamsQuantum Field Theory - F. Mandel and G.ShawReference Books:Modern Elementary particle Physics (Addison Wesley) - G. KaneConcept of Particle Physics - V. Weisskopf G.K.GottfriedQuarks & Leptons - F. Halzen & A..D. MartinQuantum Field Theory - Itzyksen and. ZuberQuantum Field Theory - M. E. Peskin and D. V. ShroederQuantum Field Theory - L. H. Ryder

PHY - 303bAdvanced Condensed, Matter Physics-I

Unit-I : 22 MarksLattice Vibrations:

Born-Oppenheimer Approximation, Hamiltonian for latticevibrations in the harmonic approximation, Normal modes of the systemand quantization of lattice vibrations - phonons.

Electron-phonon interaction, Second quantized form ofHamiltonian for electrons and phonons in interaction.

Energy Bands:

Wave equation for an electron in a periodic polential, Blochfunctions, Brillouin zones, E-k diagram under free electronapproximation, Nearly free electron approximation - Diffraction ofelectrons by lattice planes and opening of gap in ∈–k diagram. Effectivemass of electrons in crystals, Holes, Tight binding approximation


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


28

Unit-II : 24 MarksFermi Surface:

Construction of Fermi surface, Experimental methodi of studyof Fermi surface, Cyclotron Resonance, de Hass van Alphen effect.Electron Interaction:

Perturbation formulation, Dielectric function of an interactingelectron gas (Lindhard’s expression), Static screening, Screenedimpurity, Kohn effect, Friedel Oscillations and sum rule, Dielectricconstant of semiconductor, Plasma oscillations.

Unit - III : 24 MarksTransport Properties:

The Boltzmann equation, Electrical conductivity, GeneralTransport coefficients, Thermal copductivity, Thermoelectric effect,Hall effect, Elementary ideas on Quantum Hall Effect,Magnetoresistance, Elementary ideas on Giant magneto-resistance andColossal magneto resistance.Text Books :Principles of the Theory of Solids - J.M. ZimanIntroduction to Solid State Physics - C. KittelAdvanced Solid State Physics -Philip Phillips, Overseas Press, India Pvt. Ltd.Reference Books :Introduction to Modem Solid State Physics - Yuri M. GalperinSolid State Physics - Aschroft, MerminIntroduction to Solids - AzaroffElementary Solid State Physics - OmarPrinciples of Condensed Matter Physics - Chaikin and LubenskySolid State Physics, Essential Concepts - David W. Snoke, PearsonEducation, 2009

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345629


PHY 303cAdvanced Nuclear Physics-I

Unit-I : 24 Marks

Nuclear Momentum Theory:

Rotutional invariance in three dimensions Elgenvalues andeigenfunctions of angular momentum operator, explicit representationof rotation matrices, Addition of angular moments, Clebsch-Gordon,Racah and 3j coefficients, irreductible spherical tensors, matrixelements of tensor operators, Wigner Eckart theorem.

Unit-II : 22 Marks

Two Nucleon System:

Ground and excited states of the deuteron, Tensor forces andquadrupole moment of deuteron, Photo disintegration of the deuteron.

Unit-III : 24 Marks

Nuclear Models:

Shell model, analysis of shell predictions, extreme single particlemodel, configuration mixing individual practice model, L.S. and J.J.coupling schemes.

Books :

Nuclear Physics - R.R.Roy and B.P. Nigam (Wiley Eastern)

Elementary Theory of Angular Moemtum - M.E. Rose (John- Wiley)

Introduction to-Nuclear Physics- H.Enge (Addison Wesley)

Theoretical Nuclear Physics - Bleat J.M. & Weisskopf(Springer Verlag)


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


30

PHY 303dElectronics and Instrumentation

Unit-I : 22 MarksElemental and Compound Semiconductors :

Elementary idea about lattice mismatched pscudomorphicmaterials epitexy and epltexial growth carrier effective mass and bandstructure, carrier scattering phonomena, conduction process insemiconductors, Bulk and surface recombination, non-radiative andradlative recombinations, Shockley Read Hall theory of recombination,P-N junction theory Sehottky barriers and ohmic contect.

Varactor diode, PIN diode, Schottky barrier and backward diode.Unit -II : 24 Marks

Gunn effect, Ridly-watkin-Hilsam Mechanism deviceconfiguration, Tunnel diodes, Phenomena, theory and deviceconfiguration, IMPATT diodes.

LED, Electroluminescent process, LED materials, Deviceconfiguration and efficiency, LED structures, Laser operatingprinciples, semiconductor, structures and proper tics, Thresholdcurrent, Heterojuction Lasers; Photodetctors, Photoconductors,junction photo diodos, Avalanche photo diodes, solar cells, basicprinciples, spectral response, Heterojunction and cas caded solar cells,schottky barrier cells, material and design consideration. Thin filmsolar cells.

Unit- III : 24 MarksDigital Circuits:

Simplificatin of digital circuits using Karnaugh maps,characteristics of logic families, Binary adder. Subtracting F1ip-f1ops-


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345631


RS, JK. Master slave, shift-registers, CMOS dynamic shift-registers,Asynchronous counters, Divide by N Conncter Decade ripple counterSynchronous counter, application of counters.Text Books :1. Physics of Semiconductor Device - S.M. Sze, Wiley Eastern

Limited, 19872. Electronic Fundamentals and Applications – J.D. Ryder, Prentice

Hall of India3. Intergrated Electronics – J. Milliman and C. C. Halkies, Mc graw

Hill.4. Instrumentation Devices and Systems – C.S. Rangon, G.R. Sarma dn

V .S.Y. Mani Tata Mc.5. Digital Computer Electronics - A..P Malvino, Tata Mc Graw Hill,

1989Refererence Books:1. Physics of Semiconductor Devices – S.M. Sze, Wiley Easter

Limitted, 19872. Semiconductor Devices & Integrated Electronics – A. G. Mllnes,

Van Nostrand Reinhold Comp 19803. Microprocessor Fundamental–R.L.Tekhenin, Mc Graw Hill, 19864. Electronic Instrumentation and Measurement Techniques –W.

D. Cooper and A.D.Helfrick, Pre Hall of India, 19895. Microwave propagation and techniques – D.C. Sarkar, S. Chand

& Co. Ltd. 1910

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


32

PHY 304Basic Electronics

Unit-I : 24 MarksAmplifiers :

Frequency response of linear amplifiers, amplifier pass band,R.C.L.C. and transformer coupled amplifiers, Frequency response,gain band-width product, Feedback amplifiers, effects of negativefeedback, Book-strapping the FET, Multistage feedback, stability inamplifiers, noise in amplifiers.Operational amplifiers:

The differential amplifiers, integral amplifier, rejection ofcommon mode signals. The operational amplifier input and outputimpedances, application of operational amplifiers, unit gala buffer,summing, integrating and differentiating amplifiers, comparators andlogarithmic amplifiers.

Unit – II : 24 MarksOscillator Circuits:

Feedback criteria for oscillation, phase shift, Wien bridgeoscillator, crystal controlled oscillator, klystron oscillator, Principleof multivibrator.Digital Circuits:

Logic fundamentals, Boolean theorem, Logic gates - RTL, DTLand TTL gates, CMS switches, Rs flip-flop, JK flip-flops

Unit – III : 22 MarksRadio Communication:

Ionospheric propation, Antennas of different types, superheterodyne, receiver (Block diagram). Various types of optical fibersand optical communications.


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345633


Books :Electronic Fundamental and application - J.D.RyderInt. Digital Electronics - Heap and MartinIntegrated Electronics - Millman and HalkiasFoundation of Electronics - Chattopadhyay, Rakshit, Saha and Purkalt

PHY 305Dissertation Project

Full Marks – 200Topics include :

General Theory of Relativity, Cosmology, Astroparticle Physics,High Energy, Physics, Nano Science and Nano Technology, MaterialScience, Nuclear Matter, Black Hole Physics, Accelerators Physics,Data Analysis and Computational Simulation.

Dissertation : 100 Marks,Presentation and Viva : 100 Marks

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


34

FOURTH SEMESTERPHY 401

Basic Nuclear and Parcticle Physics

Unit -I : 22 MarksTwo Nucleon Problem:

Central and noncentral forces, deuteron and its magnetic momentand quadrupole moment; Force dependent on isospin, exchange force,charge independence and charge symmetry of nuclear force, mirrornuclei.Nuclcar models :

Liquid drop model, fission, magic numbers, shall model, analysisof shell model predictions.

Unit - II : 24 MarksNuclear reaction :

Energetics of nuclear reaction, compound nucleus theory, reso-nance scattering, Breit-Wigner formula, Alpha decay, Fermi’s theoryof beta decay, Selection rules for allowed transition, parity violation.Nuclear Structure:

Form factor and charge distribution of the nucleus, Hofstaderform factor.

Unit-III : 24 MarksParticle Physics:

The Standard model of particle physics, particle classification,fermions and bosons, lepton flavors, quark flavors, electromagnetic,weak and strong processes, Spin and parity determination, Isospin,strangeness, hypercharge, and baryon number, lepton number,


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345635


GellMunn-Nishijima Scheme, Quarks in hadrons: Meson and baryonoctet, Elementary ideas of SU(3) symmetry, charmonium, charmedmesons and B mesons, Quark spin and colourText Books :Introduction to Nuclear Theory – L.R.S EltonNuclear Physics – B.B.Roy and R.P.NigamNuclear Physics – K. S. KraneSubatomic Physics – Frauenfelder and HenleyConcepts of Particle Physics – Gottfried and WeisskopfElementary Particle Physics : D. J. GriffithsIntroduction to Nuclear Physics – P.E.Hodgson & E. GadiohReference Books:Theoritical Nuclear Physics – Blatt and WeisokoffIntroductory Nucelar Physics – S.S.MulongPracticle Physics – R.Omnes

PHY 402Classical Electrodynamics

Unit – I : 22 Marks(a) Maxwell’s Equation :

Maxwell’s equations, Displacement current and magnetic charge,Electromagnetic energy, Poynting Theorem, Electrornagnetic stresstensor, The wave equations for E

→ and

B→

, Plane em waves in freespace, Energy and momentum in electromagnetic waves, Boundaryconditions, Vector and scalar potentials (Φ & A) and correspondingwave equations for potentials, Lorentz gauge and Coulomb gaugeconditions.


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


36

(b) Covariant formulation of Maxwell’s equations:

Maxwell’s equations and equations of continuity in terms of Aµ

and Jµ’ Electromagnetic field tensor and its dual, Covariant form ofMaxwell’s equations, Transformation property for field vectors,Lagrangian for a charged particle in the presence of externalelectromagnetic field, Maxwell’s equations as Euler-Lagrange’sequations.

Unit – II : 24 Marks

(a) Plane waves in non-conducting media:

Plane monochromatic waves in linear nonconducting media,linear and circular polarization and Stoke’s parameters. Energy densityand flux, Reflection and refraction of em waves at the plane interfacebetween dielectric media (i) normal incidence (ii) oblique incidence,Polarization by reflection, Fresnel co-efficients, Total reflection,Brewster’s angle, Critical angle, frequency dispersion, Causality andKramer-Kronig relations.

(b) Plane waves in conducting media:

Plane electromagnetic waves in conducting media, Reflectionfrom a conducting plane, (normal incidence) Wave guides,classification of fields in wave guides, TM, TE and TEM waves, TEand TM modes for rectangular waveguides, Resonant cavities,Resonant frequencies for cylindrical cavity, (i) TM modes and (ii) TEmode, Power losses and Q of a cavity.


(a) Green’s Function solution for Retarded Potential:

Green’s function solution for potential form of Maxwell’sequation, Retarded and advanced Green’s function.

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345637


(b) Dipole Radiation of electmmagnetic waves :

Electric dipole radiation, expressions for Φ, A, H, E, averagePoynting vector and the radiated power, Radiation from a half waveantenna, Magnetic dipole radiation. Expressions for Φ, A, H, E, Theaverage Poynting vector and radiated power.

(c) Radiation by Point charge:

The Lienard- Wie chert potentials, The field of a uniformlymoving point charge, The field of an accelerated point charge,Radiation fields for small velocities.

REFERENCES:

1. Foundations of electromagnetic theory 4/e – Reitz, Milford andChristy (Pearson)

2. Introduction to electrodynamics – D. J. Griffiths (Pearson)

3. Classical Electrodynamics 3/e – J. D. Jackson (Wiley)

4. Introduction to electrodynamics – A. Z. Capri, P. V. Panat (Narosa)

5. Electromagnetic Fields and waves (2/e)– P. Lorain & D. Corson (CBS)

PHY 403aAdvanced Particle Physics and Field Theory-II

Unit – I : 24 MarksQED processes in lowest order

Cross section, spin sums, photon polarization sums, Lepton-pairproduction in e+ e– collisions, Bhabha scattering, Compton Scattering,Scattering by an external field and Mott Scattering Formula,Bremsstrahlung .


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


38

Unit – II : 22 Marks

Radiative Corrections :

The second order radiative corrections of QED, Photon selfenergy, Electron self energy, Wave function renormalization, Vertexmodification, Applications to Anomalous Magnetic moment and Lambshift, Infrared divergence. Cut-off Regularization, DimensionalRegularization.


Weak Interaction :

Classification of weak interactions, Parity violation and V-A formof weak interaction, calculations for the decay of Muon and decay ofPion , Elementary notions of leptonic deony of strange particles. TheCabibbo angle and Cabibbo hypothesis, Intennediate vector Boson,Neutral current.

Books:

Quantum Field Theory – F. Mandl and G. Shaw

Introduction to High Energy Physics – D. H. Perkins (Cambridge U.Press)

Elementary Particles – I. J. Hughes

Elementary Particle Physics – D. J. Griffiths

Modern Elementary particle Physics – G.Kane (Addision Wesley)

Concept of Particle Physics – V. Weisskopf & K.Gottfried

Quarks and leptons – F. Halzen and A. D. Martin

Quantum Field Theory – Itzyksen and Zuber

Quantum Field Theory – M. Peskin and Schroeder(Addision Wesley)

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345639


PHY 403bAdvanced Condensed Matter Physics-II

Unit – I : 22 MarksMagnetism:

Weiss theory of ferromagnetism, Curie-Weiss Law forsusceptibility, Heisenberg model Conditions for ferro- and antiferro-magnetic order, Spin waves and magnons, Bloch’s T3/2 Low.Antiferromagnetic order, Neel Temperature. Diluted MagneticSemiconductors.Ferroclectricity:

Ferroelectric crystals, Classification of ferroelectric crystals,Polarization catastrophe, Soft optical phonons, Landau theory of phasetransition – second and first order transition

Multiferroics – Elementary conceptUnit – II : 24 Marks

Electronic and Lattice defects:Lattice defects, Frenkel and Schottky defects. Line Defects, edge

and screw dislocations – Burger’s Vector, planner (stacking) faults-twin planes and grain boundaries Color centersmechanism ofcoloration of a solid, F-center, Other color centers.

Excitons : Loosely bound, tightly bound, Excitonic waves,electron-hole dropletsExotic Soilds :

Amorphous materials, Quasi-crystals, Nanostructured materials-classification based on Spatial extension (0-D, 1-D and 2-D). 0–Dnanostructures-quantum dots, Widening of band gap in quantum dots,1-D nanostructures-quantum wires, tubes, belts, 2-D nanostructures-quantum wells - superlattices.


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


40

Unit – III : 24 MarksSuperconductivity :

Election-electron attractive interaction due to virtual phononexchange, Cooper pairs and BCS Hamiltonian, Superconductingground state and the gap equation at T = 0 K.

Josephson Effect : macroscopic quantum mechanical effect, DCJosephson effect, Effect of electric field – AC/Inverse AC Josephsoneffect, Effect of magnetic field, SQUID.

High TC superconductors : Elementary ideas.Text Books :Introduction to Solid state Physics, C.Kittel, John Willey & Sons,New York.Quantum Theory of Solids – C. KittelText Book of Nanoscience and Nanotechnology, B.S.Murty, P.Shankar,B. Raj, B. B. Rath and J. Murday.Reference Books :Introduction to Modern Solid State Physics by Yuri M. GallperinIntroduction to Solids – AzroffElementary Solid State Physics – OmarSolid State Physics – Aschroff & MerminScience of Engineering Materials and carbon nanotubes, CM.Srivastava & C. Srinivasan.Solid state Physics, A.J.Dekkar Macmillan, London.Solid state Physics, R.L.Singhal, Kedarnath and Ramnath Co., Meerut.Low Dimensional Semiconductor Structures, K.Bamam and D.Vvedensky (Cambridge University Book) 2001Semiconductor Quantum Dots, L.Banyal and S.W.Koch (WorldScientific) 1993

12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345641


An Introduction to the physics of low dimensional semiconductors,J.H. Davies (Cambridge Press) 1998Introduction to Superconductors – KettersonThe Physics of quasicrystals, Eds. Steinhardt and OstulondPrinciples of Nanoscience and Nanotechnology, M.A. Shah andT.Ahmad.Hand book of Nanostructured materials and Nanotechnology (Vol. 1-4)Ed. H.S. NalwaSolid State Physics, S.O.Pillai, New Age International Publishers, 2010Introduction to Solid State Physics, Arun KumarSolid State Physics, WahabSolid State Physics and Electronics, R.K. Puri, V.K. BabbarSolid State Physics, H.E. HallFundamentals of solid State Physics, Saxena, Gupta, Saxena

PHY 403cAdvanced Nuclear Physics-II

Unit-I : 22 MarksCollective model, rotational energy spectrum and nuclear wave

function for even-even nuclei, Energy spectrum and wave functionfor odd-A nuclei; Nuclear moments, Collective vibration excitation,Rotational Vibration coupling.

Unit-II : 24 MarksNuelear Reactions :

Compound nucleas, statistical theory of nuclear reactions,evaporation probability and cross section for specific reactions,experimental results, optical model, Kapur-Reierls dispersion formula


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


42

for potential scattering, Giant resonances, deuteron stripping and pickup reactions

Unit-III : 24 MarksNuclear Detectors:

Ionisation Chambers, Semiconductor counters, Proportionalcounters, G.M.Counter, scintillation counter, Wilson expansionChamber, Bubble Chamber, The nuclear omulsion, Neutron detection;time of flight technique, measurements based on recoil protons, Betaand electron spectrometers, acceleration of charged particles, Van-de-Graff generator, Linear accelerator, Cyclotron, synchrocyclotronBooks :Nuclear Physics – R.R.Roy and B.P NigamElementary theory of Angular momentum – M. E. Rose (John Wiley)Introduction to Nuclear Physics – H.Enge (Addision Welsey)Theoritical Nuclear Physics-Bleat J.M & Weisskopf(springer Vorlag)

PHY403dElectronics and Instrumentation-II

Unit-I : 22 MarksD/A and A/D Converters :

Binary Weighted resistance DAC, DAC using ladder network,BCD, DAC, counter ramp and successive approximation type ADC,single slope, dual slope ADC.

Unit-II : 24 MarksElectric Test and Measuring Equipment :

Cathod ray Oscilloscope, Digital Voltmeters and Multimeters.Signal Generators Regulated Power supplies.


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345643


Data Acquisition and Processing :Introduction Transducer (Elementary ideas), Signal conditioning

of the inputs, Single channel data acquisition system, Multichanneldata acquisition system, Multiplexers and sample Hold circuits.

Unit-III : 24 MarksMicroprocessors and Microcomputers:

Microcomputers, 8085 Microprocessor architecture, stacks,Resource sharing, Memory access and transfer, interrupts,Microprocessor Softwares, RAM, RQM, EPROM, I/O devices,Operational sequences, Applicaions.Books :Physics of Semiconductor Devices – S.M.Sze, Wiley Eastern Limitted, 1987.Electronic Fundamentals & Applications – J.D.Ryder, Prentice Halof IndiaIntegrated Electronics – J. Millman and C.C.Halkias, Mc. Graw HillInstrumentation devices and systems – C.Srangan, G.R. Sarma andV.S.Vmani,Tata Me Graw HillDigital Computer Electronics – A.P. Malvino, Tata Mc Graw Hill, 1989.References :Physics of Semiconductor Devices – S.M Sze, Wiley Eastern Limited, 1987Semiconductor Devices and Integrated Electronics – A.G.Milnes, VanNostrand Reinhold Company,1980Microprocessor Fundamental- R. L.Tokhein, Mc Graw Hill, 1986Electronic Instrumentation and Measurement Techniques– W.D.Cooper and A.D. Holfrick, Prentice Hall of India, 1989.Microwave Propagation and Techniques – D.C.Sarkar, S.Chand andCo. Ltd. 1910

123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


44

PHY404aParticle and Nuclear Physics Lab

1. Calibration X-ray spectrometer and determination of X-rayenergy of unknown source

2. Determination of resolving poser of x-ray spectrometers.3. Study of X-ray spectrum4. Determination of absorption co-efficient of Aluminum using G.M

Counter.5. X-test and operating point determination using G –N tube.6. Characteristics of G.M. Counter.7. Study of surface barrier detector.8. Determination of value for DPPH using ESR.9. Study of counter technique.10. Study of single channel analyzer.11. Study of photo detector and photo multiplier.12. Study of wide-band amplifier.13. Emulsion photograph studies.


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345645


PHY 404bSolid State Physics Lab

1. Study of energy gap of Germanium by four-probe method.2. Callibration of magnetic field using Hall apparatus.3. Determination of Hall Voltage and Hall coefficients.4. Measurement of Hall angle and mobility.5. Determination of ferroelectric transition point (Curie

temperature) of the given sample.6. Determination of magnetoresistance of bismuth.7. Study of Laue’s spot of mica sheet using X-ray diffraction

technique.8. Study of the dispersion relation for the monoatomic and lattices

using the given electrical transmission line.9. Find the Young’s modulus for the given metal using composite

piezoelectric oscillator technique.10. Determination of magnetic susceptibility by Guoy - balance.11. Velocity of ultrasonic waves in a given medium at different

temperatures.12. Measurement of Lande’s g factor of DPP II by ESR at Microwave

frequency.13. Study of the thermoluminescence of F-centre in alkali halide

crystals.14. Study of phase transition using feed back amplifier circuit.


123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456123456789012345678901234567890121234567890123456789012345678901212345678901234567890123456


46

PHY 404cElectronics and Instrumentation – II Lab

1. Study of the various stages of a regulated power supply and findits regulation and ripple factor.

2. Design and assemble of a single stage transistor amplifier andstudy of its frequency response.

3. Study of phase transition using feed-Back amplifier circuit.

4. Study of multivibiator-Astable.

5. Study of multivibrator-Bistable.

6. Study of multivibrator-Monostable.

7. Design of operational amplifier circuit.

8. Use of operational amplifier for integration anddifferentiation.

9. Use of operational ampllfier for addition and subtraction.

10. Study of various stages of a digital voltmeter.

11. Study of various stages of digital fi:equency counter.

12. Study of various stages of a CRO and calibrate it for measurementof frequency and amplitude.

13. Determination of Hall voltage and Hall coefficient.

14. Study of different gates.


12345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345612345678901234567890123456789012123456789012345678901234567890121234567890123456789012345647


15. Programming using into 8085 microprocessor.

a. Student have to choose one theory paper out of the core electivepapers (Special Papers) in A during their 3rd Semester.

b. They have to choose one theory and one lab papers out of thecore elective papers (Special Papers) in ‘‘B’’ during their 4th

Semester.

c. They have to choose one dissertation/project topic in 3rd Semester.

d. The free elective paper given in ‘‘D’’ can be perused by the M.Sc.Physics Students.

Mark and Credit DistributionsSemester Credit Marks

1st 28 400

2nd 28 400

3rd 36 600

4th 28 400

Total 120 1800

m.sc. physics syllabus - udayanath college of science and...

Documents