wave particle duality
DESCRIPTION
PARTICLE properties individual interaction dynamics: F=ma mass – quantization position(time) – localized mass spin COMMON properties: energy, momentum, velocity. WAVE properties collective interference – superposition dynamics: wave equation standing waves – modes - PowerPoint PPT PresentationTRANSCRIPT
Light behaves as both a wave and a particle at the same time!
Wave Particle Duality
PARTICLE properties individual interaction dynamics: F=ma mass – quantization position(time) – localized mass spin
COMMON properties: energy, momentum, velocity
WAVE properties collective interference – superposition dynamics: wave equation standing waves – modes wavelength (freq) – periodic dispersion polarization
reflection, refraction, trans. diffraction – Huygens
Reflection, Diffraction, Interference animation
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Particle waves
phonon
photon
electron??? ??? ???
Electromagnetic waves
Blackbody radiation – Planck, Boltzman–Stefan, Wien
densityof modes photons per mode
“high frequencyphotons cost toomuch energy”
energy per photon
Photoelectric effect – Einstein
X-rays – Roentgen, Bragg, Laue, Duane-Hunt, Compton
Particle Waves – de Broglie, Davisson-Germer
Wave packets – Fourier, Heisenberg
Hydrogen atom – Rutherford, Bohr
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Potential wells – conservation of energy
Schrödinger Equation
operators
tunneling
See reviews of Exams II, III
Separation of variables
Hydrogen atom
Angular momentum J = L + S
Pauli exclusion principle
Multi-particle wave function• atoms• molecules• crystals
Statistical mechanics• degeneracy• Maxwell-Boltzman, Bose-Einstein, Fermi-Dirac distributions