Lecture Notes Quantum Mechanics I (PHY511)
Fall 2003, Jacobus Verbaarschot
09-04-2003/L1, Stern-Gerlach Experiment, Hilbert Space
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09-09-2003/L2, Operators, Completeness, Matrix Representation, Postulates
of Quantum Mechanics, Spin 1/2
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09-11-2003/L3, Spin 1/2, Compatible and Incompatible Operators
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09-16-2003/L4, Uncertainty Principle, Continuous Spectra,
Translations, Momentum Operato
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09-18-2003/L5, Canonical Commutation Relations, Wave Functions,
Momentum Operator, Gaussian Wave Packets
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09-23-2003/L6, Time Evolution, Schroedinger Equation
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09-25-2003/L7, Spin Precession, Heisenberg Equation of Motion,
Schroedinger versus
Heisenberg Picture, Ehrenfest's Theorem
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09-30-2003/L8, Harmonic Oscillator
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10-02-2003/L9, Coherent States, Schroedinger Equation
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10-07-2003/L10, Time Independent Schroedinger Equation, One Dimensional
Potentials
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10-09-2003/L11, delta-function potential, WKB approximation
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10-14-2003/L12, WKB Approximation, Propagator
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10-16-2003/L13, Propagator, Path Integrals
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10-21-2003/L14, Path Integrals, Instantons and Tunnelling, Gauge
Potentials
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10-23-2003/L15, Gauge Fields in Quantum Mechanics
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10-29-2003/L16, Gauge Fields, Landau Problem
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10-31-2003/L17, Midterm
11-04--2003/L18, Hollow Cylinder, Ahoronov Bohm Effect
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11-06-2003/L19, Magnetic Monopoles, Integer Quantum Hall Effect, Rotations
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11-11-2003/L20, Rotations, Wigner D-matrices
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11-13-2003/L21, Spin 1/2
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11-18-2003/L22, Spin Precession, Group Theory, Ladder Operator Formalism
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11-20-2003/L23, Matrix Elements, Orbital Angular Momentum
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11-25-2003/L24, Spherical Harmonics, Central Potential, Hydrogen Atom
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12-02-2003/L25, Hydrogen Atom, Addition of Angular Momenta, Clebsch
Gordon Coefficients
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12-04-2003/L26, Clebsch-Gordon Coefficients, Vector Operators, Tensor
Operators
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12-09-2003/L27, Clebsch-Gordon Coefficients, Einstein-Podolsky-Rosen
Paradox
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12-11-2003/L28, Bell's theorem
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Bell's paper
Jacobus Verbaarschot
Last revised: September 18, 2003.