Chapter05 Wave Properties of Matter General Bibliography 1) Various wikipedia, as specified 2) Thornton-Rex, Modern Physics for Scientists & Eng, as indicated

Chapter X-Ray Scattering 5.2 de Broglie Waves 5.3 Electron Scattering 5.4 Review of Wave Motion 5.6 Uncertainty Principle 5.7 Postulates of Quantum Mechanics

Wave-Particle Duality Particle-Like Behaviors – Rutherford Scattering – Bohr Model – Photoelectric Effect – Compton Scattering – Pair Production – Positron Annihilation Wave-Like Behaviors – X-Ray Diffraction – Bragg Scattering – Electron Scattering – etc

Von Laue Diffraction Patterns

Bragg Scattering n = 2 d sin 

Powder X-Ray Diffraction

Davisson & Germer Electron Scattering

Electron Scattering

de Broglie

Basic Wave Review

Superposition of Waves / Fourier Series

Uncertainty Principle for A Simple Case

Mythical “Gaussian” Shaped Wave -- a specially constructed wave packet that has the smallest possible values for both the product  p  x and  E  t

Postulates of Quantum Mechanics All information that can be known about a particle/system is contained within the wavefunction  (x,t) The probability of finding the particle at (x,t) is given by   . – in a region  x about (x,t) by    x The probability of finding the particle anywhere is 100% or 1.

Postulates of Quantum Mechanics Every observable quantity is associated with an “Operator” which is used to extract the information from the wavefunction The expectation value (aka average) of an observable quantity is given by The time evolution of the wavefunction is determined by H = Hamiltonian