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Problems with Classical Physics
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Quantum Physics 130
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Preface
Contents
Course Summary
Subsections
Problems with Classical Physics
Thought Experiments on Diffraction
Probability Amplitudes
Wave Packets and Uncertainty
Operators
Expectation Values
Commutators
The Schrödinger Equation
Eigenfunctions, Eigenvalues and Vector Spaces
A Particle in a Box
Piecewise Constant Potentials in One Dimension
The Harmonic Oscillator in One Dimension
Delta Function Potentials in One Dimension
Harmonic Oscillator Solution with Operators
More Fun with Operators
Two Particles in 3 Dimensions
Identical Particles
Some 3D Problems Separable in Cartesian Coordinates
Angular Momentum
Solutions to the Radial Equation for Constant Potentials
Hydrogen
Solution of the 3D HO Problem in Spherical Coordinates
Matrix Representation of Operators and States
A Study of
Operators and Eigenfunctions
Spin 1/2 and other 2 State Systems
Quantum Mechanics in an Electromagnetic Field
Local Phase Symmetry in Quantum Mechanics and the Gauge Symmetry
Addition of Angular Momentum
Time Independent Perturbation Theory
The Fine Structure of Hydrogen
Hyperfine Structure
The Helium Atom
Atomic Physics
Molecules
Time Dependent Perturbation Theory
Radiation in Atoms
Classical Field Theory
The Classical Electromagnetic Field
Quantization of the EM Field
Scattering of Photons
Electron Self Energy
The Dirac Equation
The Dirac Equation
Jim Branson 2013-04-22
Operators and Eigenfunctions