160 likes | 706 Views
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
E N D
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 Wave Particle Duality Light behaves as both a wave and a particle at the same time!
Particle waves phonon photon ??? ??? ??? electron
Blackbody radiation – Planck, Boltzman–Stefan, Wien energy per photon “high frequency photons cost too much energy” density of modes photons per mode
Schrödinger Equation operators tunneling
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 See reviews of Exams II, III