University of Vermont

Theoretical Condensed Matter Physics

Physics 362 Course Outline
Physics 362: Quantum Mechanics II
Course Outline



  • Dirac Notation and Vector Spaces
    1. Bras, kets and operators
    2. Uncertainty relations
    3. Postulates of quantum mechanics
  • Quantum Dynamics
    1. Time evolution and the Schrodinger equation
    2. Schrodinger and Heisenberg pictures
    3. Review of the simple harmonic oscillator
    4. Path-integral approach to quantum mechanics
    5. Gauge transformations and quantum mechanics
  • Theory of Angular Momentum
    1. Rotations and Angular Momentum
    2. Spin 1/2
    3. SO(3), SU(2) and Euler angles
    4. Eigenvalues and eigenstates of angular momentum
    5. Orbital angular momentum
    6. Addition of angular momentum
    7. Tensor operators
    8. Wigner-Eckart theorem
  • Symmetry and Quantum Mechanics
    1. Symmetries, conservation laws and degeneracies
    2. Group theory and quantum mechanics
  • Approximation Methods
    1. Time-independent perturbation theory
    2. Time-dependent perturbation theory
    3. Variational methods
  • Identical Particles
    1. Permutation symmetry
    2. Many-electron systems
  • Scattering Theory
    1. Lippmann-Schwinger equation
    2. Born approximation
    3. Optical theorem
    4. Applications

Last modified May 27 2008 11:35 AM

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