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Quantum Physics (UCSD Physics 130)

Quantum Physics (UCSD Physics 130)April 2, 20032 Contents1 Course Problems with Classical Physics .. Thought Experiments on Diffraction .. Probability Amplitudes .. Wave Packets and Uncertainty .. Operators .. Expectation Values .. Commutators .. The Schr odinger 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.

4 5.4 Position Space and Momentum Space . . . . . . . . . . . . . . . . . . . . . . . . . . 103 5.5 Time Development of a Gaussian Wave Packet ...

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