Lecture Notes Quantum Mechanics I (PHY511)

Fall 2003, Jacobus Verbaarschot

09-04-2003/L1, Stern-Gerlach Experiment, Hilbert Space

[p1] [p1] [p2] [p3] [p4]

09-09-2003/L2, Operators, Completeness, Matrix Representation, Postulates of Quantum Mechanics, Spin 1/2

[p5a] [p5] [p6] [p7] [p8] [p9] [p10]

09-11-2003/L3, Spin 1/2, Compatible and Incompatible Operators

[p10a] [p11] [p12] [p13] [p14] [p15]

09-16-2003/L4, Uncertainty Principle, Continuous Spectra, Translations, Momentum Operato

[p16a] [p16] [p17] [p18] [p19] [p20] [p21] [p22]

09-18-2003/L5, Canonical Commutation Relations, Wave Functions, Momentum Operator, Gaussian Wave Packets

[p23a] [p23] [p24] [p25] [p26] [p27] [p28] [p29] [p30]

09-23-2003/L6, Time Evolution, Schroedinger Equation

[p31] [p32] [p33] [p34] [p35]

09-25-2003/L7, Spin Precession, Heisenberg Equation of Motion, Schroedinger versus Heisenberg Picture, Ehrenfest's Theorem

[p36a] [p36] [p37] [p38] [p39] [p40] [p41]

09-30-2003/L8, Harmonic Oscillator

[p42a] [p42] [p43] [p44] [p45] [p46]

10-02-2003/L9, Coherent States, Schroedinger Equation

[p47a] [p47] [p48] [p49] [p50] [p51] [p52]

10-07-2003/L10, Time Independent Schroedinger Equation, One Dimensional Potentials

[p52a] [p53] [p54] [p55] [p56] [p57] [p58]

10-09-2003/L11, delta-function potential, WKB approximation

[p59a] [p59] [p60] [p61] [p62] [p63]

10-14-2003/L12, WKB Approximation, Propagator

[p64a] [p64] [p65] [p66] [p67] [p68]

10-16-2003/L13, Propagator, Path Integrals

[p69a] [p69] [p70] [p71]

10-21-2003/L14, Path Integrals, Instantons and Tunnelling, Gauge Potentials

[p72a] [p72] [p73] [p74] [p75]

10-23-2003/L15, Gauge Fields in Quantum Mechanics

[p76a] [p76] [p77] [p78] [p79]

10-29-2003/L16, Gauge Fields, Landau Problem

[p80a] [p80] [p81] [p82] [p83]

10-31-2003/L17, Midterm

11-04--2003/L18, Hollow Cylinder, Ahoronov Bohm Effect

[p83a] [p84] [p85] [p86]

11-06-2003/L19, Magnetic Monopoles, Integer Quantum Hall Effect, Rotations

[p87a] [p87] [p88] [p89] [p90] [p91]

11-11-2003/L20, Rotations, Wigner D-matrices

[p92a] [p92] [p93] [p94] [p95] [p96] [p97] [p98]

11-13-2003/L21, Spin 1/2

[p98a] [p99] [p100] [p101] [p102] [p103]

11-18-2003/L22, Spin Precession, Group Theory, Ladder Operator Formalism

[p104] [p105] [p106] [p107] [p108] [p109]

11-20-2003/L23, Matrix Elements, Orbital Angular Momentum

[p110] [p111] [p112] [p113] [p114] [p115] [p116]

11-25-2003/L24, Spherical Harmonics, Central Potential, Hydrogen Atom

[p117a] [p117] [p118] [p119] [p120] [p121] [p122]

12-02-2003/L25, Hydrogen Atom, Addition of Angular Momenta, Clebsch Gordon Coefficients

[p123a] [p123] [p124] [p125] [p126] [p127]

12-04-2003/L26, Clebsch-Gordon Coefficients, Vector Operators, Tensor Operators

[p127a] [p128] [p129] [p130] [p131] [p132]

12-09-2003/L27, Clebsch-Gordon Coefficients, Einstein-Podolsky-Rosen Paradox

[p132a] [p133] [p134] [p135] [p136] [p138] [p139]

12-11-2003/L28, Bell's theorem

[p140a] [p140] [p141] [p142] Bell's paper

Jacobus Verbaarschot
Last revised: September 18, 2003.