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Chapter05 Wave Properties of Matter General Bibliography 1) Various wikipedia, as specified 2) Thornton-Rex, Modern Physics for Scientists & Eng, as indicated
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Chapter 05 5.1 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
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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
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Von Laue Diffraction Patterns
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Bragg Scattering n = 2 d sin
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Powder X-Ray Diffraction
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Davisson & Germer Electron Scattering
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Electron Scattering
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de Broglie
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Basic Wave Review
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Superposition of Waves / Fourier Series
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Uncertainty Principle for A Simple Case
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Mythical “Gaussian” Shaped Wave -- a specially constructed wave packet that has the smallest possible values for both the product p x and E t
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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.
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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
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