PHYSICS 518      Quantum Mechanics   2004

LECTURE SCHEDULE

Reading assignments are in:     Quantum Mechanics   by Sakurai


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



 
Week  Lect  Date  Topics  Reading+Homework
1  1-4  Jan. 5-9
  • Green Functions
  • Propagators
  • Path Integrals
  • V=F.x 1/2
  • Potentials in Quantum Mechanics
  • U(1) Symmetry and Electrodynamics
    		•  Read Sakurai 2.5,2.6
    Assign 1
    Soln 1
    2  5-8  Jan. 12-16
  •  Aharonov-Bohm Effect
  • Yang-Mills
  • Coherent states
    		•
  •  Read Sakurai 2.6,3.1

    • Assign 2

    		•
  • 3 
    		•  9-12  Jan. 19-23
    Holiday Jan. 19 (MLK)
  • Angular Momentum
  • SO(2) and its generator
  • Rotations in 3-dim
  • SO(3)
  • Transformation of generators
    		•
  • Assign 3
    		•
    4  13-16  Jan. 26- 30
  • Rotations about arbitrary axes
  • Euler Angles
  • SO(3) in QM
  • D-matrices
  • d-matrices
  • Orbital angular momentum
    		•   Assign 4
    5  17-20 Feb. 2-6
  • Spherical Harmonics
  • |r,\thetra,phi> basis
  • Angular momentum addition
  • Projection Thm
  • 3-dim Schrodinger eqn
    		•
  • Assign 5

    		•
    6 21-24 Feb. 9-13
    Friday Feb.  13 = Midterm
  • Diatomic Molecules
    		•
  • Midterm exam

    		•
    7  25-26 Feb. 16-20
    Holiday Feb. 16 (Presidents)
  • 3-dim Harmonic Oscillator
  • 2-dim HO, SU(2), SO(2)
    		•
  • Assign 6
    		•
     
    8 27-29 Feb. 23-27
  • Spinless Hydrogen atom, energy-levels
  • Runge-Lenz vector
  • Creation and annihilation operators for H-atom
  • Angular Momentum addition (again)
  • Clebsch-Gordan coefficients
    		•
  • Assign 7
    		•

    • 9  30-33 March 1-5
  • Tensor Operators
  • Wigner-Eckart Theorem
  • Time-Independent , Non-degenerate perturbation theory
    		•
  • Assign 8
    		•

    • 10 34-36 March 8-12
  • Time-independent, degenerate perturbation theory
  • Linear and quadratic Stark effects
  • Fine-Structure of the H-atom : Spin-Orbit interaction and relativistic effects 
    		•
  • Assign 9
    		•
     
    		•
    11
    		  
    Finals Week : March 15-19
    Final Exam
    8:30-10:20 a.m  Monday, March 15
    		    

    518 Home     ||    Savage