PHYSICS 517       Quantum Mechanics   2002

LECTURE SCHEDULE

Reading in:     Quantum Mechanics   by C. Cohen-Tannoudji, B. Diu and F. Laloe

 

[ Note: This schedule may change as the quarter develops ]


Week  Lect  Date  Topics  Reading+Homework
1  1-3  Sept. 30-Oct.-4
  • Introduction 
  • Two-Slits Experiment
  • Stern-Gurlach Experiment
  • Linear Vector Spaces
    		•   Chap 1 : Sections A, B
    Compliment A1
    2  4-6  Oct. 7-11
  • Linear Vector Spaces Continued
  • kets, bras, operators
  • Projectors
  • Matrix Representations
  • Measurements
    		•  Chap 2 : Sections B, C, D
    (pages 108-> 144)

    HMWK 1 Distributed Wednesday
    3  7-9  Oct. 14-18
  • (In)Compatible Observables
  • Uncertainty Principle
  • Change of Basis
  • Continuous Spectra
  • Position Eigenkets
  • Translation Operator 
  • Momentum
    		•  Chap 2 : Sections E, F
    Chap 2 : Compliments A-> E
    Chap 3: A,B,C
    Chap 4 : Compliment A

    HMWK 2 Distributed Wednesday
    4  10-12  Oct. 21-25
  • Position-Momentum Uncertainty
  • Wavefunctions
  • Gaussian Wave-packets
  • Commutation Relations
  • Mixed States and Density Matrices
    		•  Chap 1 : Compliment  G
    Chap 2 : Sections A, E
    Chap 2 : Compliment E, F
    Chap 3 :  Section C
    Chap 3 : Compliment E
    HMWK 3 Distributed Wednesday
    5  13-15 Oct. 28-Nov. 1
  •  Time Evolution
  • Spin 1/2 system in a B-field
  • Schrodinger verses Heisenberg ``Pictures''
  • Time dependence of operators and matrix elements, Ehrenfests theorem
    		•  Chap 3 : Compliment F,G
    Chap 4 : Compliment F
    HMWK 4 Distributed Wednesday
    6  16-18 Nov. 4-8
    Friday Nov 8 = Midterm
  • 1-dim wave mechanics
  • Step Potentials
    		•  Chap 1 : Section D
    Chap 1 :  Compliments H, J
    No HMWK this week.
    7  19-20 Nov. 11-15
    Monday Nov 11 = holiday 
  • Leading Order WKB
  • Infinite Square Well Potentials
    		•  Chap 3 : Compliment B,N,O
    HMWK 5 Distributed Friday
    8  21-23 Nov. 18-22
  • Finite Square Wells 
  • 1-dim Harmonic Oscillator
  • Annihilation and Creation Operators
    		•  Chap 5 : pages 483-546 
    HMWK 6 Distributed Friday
    9  24-25 Nov. 25-29
    Thurs, Fri (Nov 28, 29) = holidays
  • Time-Dependence of a 
  • Analytic Structure of Scattering Amplitude
  • Time-Delays and Phase-Shifts
  • Higher-Order WKB
    		•   
    10 26-28 Dec. 2-6
  • Higher-Order WKB
  • Green Functions 
  • Propagators
  • Path Integrals
  • V(x) = F.x
  • V(x) = 1/2 k x^2
    		•   Chap 3 : Compliment J
    HMWK 7 Distributed Wednesday

      11    		  29-30 Dec. 9-11
  • Potentials in Quantum Mechanics
  • U(1) Symmetry and Electrodynamics
  • Ahronov-Bohm Effect
  • Coherent States
  • SU(2) Symmetry
    		•   
    12 
    		  
    Finals Week : Dec. 12-19
    Final Exam
    8:30-10:20 a.m  Friday, Dec. 13
    		    

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