einfœhrung in die quantenmechanik prof. dr. r. friedrich
TRANSCRIPT
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EINFÜHRUNG IN DIEQUANTENMECHANIK
PROF. DR. R. FRIEDRICHVORLESUNG SS 2012
WWU MÜNSTER
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VORLESUNGEN IM RAHMEN DES MODULS
ATOM- UND QUANTENPHYSIK
EINFÜHRUNG IN DIE QUANTENMECHANIK (4ECTS, R.F.)
ÜBUNGEN(4ECTS,R.F.,S.GUREVICH,M.WILCZEK)
ATOM-UND MOLEKÜLPHYSIK (2ECTS, PROF. HANNE)
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SPRECHSTUNDE
● MITTWOCH, 10-11 UHR
● WILHELM-KLEMM-STR. 9, Zi 315
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ÜBUNGEN
● MÜNDLICH/SCHRIFTLICH● ZULASSUNG ZUR KLAUSUR: 50,50 %● ÜBUNGSGRUPPENEINTEILUNG S.
INTERNET● KLAUSUR-TERMIN 16.7., 14.00-17.00 (18.00)● NACHKLAUSUR 24.9. 14.00-17.00 (18.00)
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'THEORIE-VORLESUNGEN'
● EINFÜHRUNG IN DIE QUANTENMECHANIK● QUANTENPHYSIK (WS 2012/13)● STATISTISCHE PHYSIK (SS 2013)
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AG SELBSTORGANISATION UND KOMPLEXITÄT
SELBSTORGANISATION IN SYSTEMEN FERN VOM GLEICHGEWICHT
ANALYSE KOMPLEXER SYSTEME
TURBULENTE FELDER
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EINFÜHRUNG IN DIE QUANTENPHYSIK
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VORLESUNGSPLAN SS 2012
● MATERIE-WELLEN● SCHRÖDINGER-GLEICHUNG● WELLENMECHANIK IN 1 DIMENSION● KONZEPTE DER QUANTENMECHANIK● HARMONISCHER OSZILLATOR● WASSERSTOFF-ATOM
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PARTICLE-WAVE DUALITY
● PARTICLE-WAVE DUALITY● MAX-PLANCK, A. EINSTEIN: PHOTONS● LOUIS DE BROGLIE: MATTER WAVES
● LIGHT: WAVE PROPERTIES
● ELECTRONS, ATOMS: PARTICLE PROPERTIES
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PARTICLES VERSUS WAVES
● ENERGY● MOMENTUM● MASS
● COLLISIONS● GAS OF PARTICLES
● FREQUENCY● WAVE LENGTH● DIFFRACTION
● DIFFRACTION, INTERFERENCE
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EXPERIMENTS WAVE CHARACTER
● DIFFRACTION GRATINGS,
● BRAGG REFLECTION, CRYSTALS
● INTERFERENCE
● DOUBLE SLIT EXPERIMENT
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BRAGG-DIFFRACTION
● X-RAY DIFFRACTION
● CONSTRUCTIVE INTERFERENCE
● BRAGG CONDITION
2 D sin=
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DOUBLE SLIT EXPERIMENT
● R. FEYNMAN
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YOUNG'S DOUBLE SLIT EXPERIMENT WITH LIGHT
● THOMAS YOUNG (1803) EXPERIMENTS AND CALCULATIONS RELATIVE TO PHYSICAL OPTICS
● EXPLANATION: HUYGENS-FRESNEL PRINCIPLES OF OPTICS
● WAVE-CHARACTER OF LIGHT
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EXPERIMENTSPARTICLE PROPERTIES
● INTERACTIONS● COLLISION● GASES: ENSEMBLES OF PARTICLES
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PARTICLE BEHAVIOUR OF LIGHT
● M. PLANCK (1900): BLACK-BODY RADIATION
● A. EINSTEIN (1905): EXPLANATION OF THE PHOTOELECTRIC EFFECT
● COMPTON EFFECT (NOBEL PRICE 1927)
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PARTICLE BEHAVIOUR OF LIGHT
● A. EINSTEIN (1905): EXPLANATION OF THE PHOTOELECTRIC EFFECT
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PARTICLE BEHAVIOUR OF LIGHT
● COMPTON EFFECT (NOBEL PRICE 1927)
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WAVE-PARTICLE DUALITYLIGHT WAVES, PHOTONS
● ENERGY ● MOMENTUM ● MASS: M=0
● FREQUENCY● WAVE LENGTH● WAVE VECTOR
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WAVE-PARTICLE DUALITYLIGHT WAVES, PHOTONS
● ENERGY ● MOMENTUM ● MASS: M=0
● FREQUENCY● WAVE LENGTH● WAVE VECTOR
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PARTICLE-WAVE DUALITYMATTER WAVES
(DE BROGLIE 1924)
● ENERGY ● MOMENTUM ● MASS: M=0
● FREQUENCY● WAVE LENGTH● WAVE VECTOR
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DAVISSON AND GERMER (1927)FIRST PROOF OF DE BROGLIES
HYPOTHESIS
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DAVISSON GERMER (1927)
● ACCELERATION BY ELECTRIC FIELD
● ANGLE (Bragg-Condition)
E=P2
2m=54eV
p=2m E=3,97∗10−24 Ns
=hp=
6,63∗10−34
3.97∗10−24m=1,67∗10−10m
=2d sin=2d sin 90−
=50 /2=1,65∗10−10m
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DOUBLE SLIT EXPERIMENTWITH PARTICLES
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MÖLLENSTEDT, DÜKER EXPERIMENT (1955)
● INTERFERENCE, ELECTRON BEAMS
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DOUBLE-SLIT EXPERIMENTC. JÖNSSON (1957)
● C. Jönsson, Zeitschrift für Physik, 161, 454-474 (1961)
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TOP TEN PHYSICAL EXPERIMENTS
● JÖNSSON DOUBLE SLIT (1961)
● GALILEO FREE FALL (1620)
● MILLIKAN OIL DROP (1909)
● NEWTON SPECTRAL DECOMPOSITION OF LIGHT (1665)
● YOUNG INTERFERENCE OF LIGHT (1801)
● CAVENDISH GRAVITY, TORSION (1798)
● ERASTOTHENES RADIUS OF THE EARTH (~ -300)
● GALILEI SCHIEFE EBENE (1620)
● RUTHERFORD SCATTERING EXPERIMENT (1911)
● FOUCAULT PENDULUM (1851)
● PHYSICS WORLD UMFRAGE 2002
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DOUBLE SLIT EXPERIMENTS„SINGLE EVENTS“
A. Tonomura et al.: American Journal of Physics 57, 117 (1989)
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DOUBLE SLIT EXPERIMENTS WITH MACROMOLECULAR
OBJECTS● O. Nairz, M. Arndt, A. Zeilinger,
Quantum interference experiments with large molecules, American Journal of Physics 71, 319-325 (2003)
● C 60, BUCKY BALLS
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WEB-REFERENCE
● http://nobelprize.org/nobel_prizes/physics/articles/ekspong/
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MATTER-WAVE DUALITY
THEORY COMBINING WAVE AND PARTICLE PROPERTIES
WAVE, QUANTUM MECHANICSQUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORYQUANTUM CHROMODYNAMICS,
STRING THEORY
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WAVE FUNCTIONSCHRÖDINGER EQUATION
● INTERPRETATION!