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Physics 522: Quantum Mechanics II


Course Outline

Continuation of Quantum Mechanics I

 Time-independent perturbation theory applied to the hydrogen atom: structure, hyperfine structure, external fields

 Relativistic quantum mechanics: Klein-Gordon equation, Dirac equation applied to free particles, central potentials, and the hydrogen atom

 Time-dependent interaction: interaction picture, Rabi oscillations, time-dependent perturbation theory, Fermi’s golden rule, sudden approximation, adiabatic approximation, Landau-Zener tunneling, interactions of atoms with electromagnetic fields and selection rules

 Quantum Theory of scattering:  Lippmann-Schwinger equation, scattering amplitude, cross-sections, Born approximation, partial waves

 Identical Particles: symmetrization, helium atom, multi-electron atoms and Hartree-Fock equations, second quantization applied to multiparticle states, quantization of the electromagnetic field


Typical Organization

Lectures: Tue/Thu 2:30-3:45pm

Grading weights:

Homework: 30%

Midterm exam: 30%

Final exam: 40%

Main Text: J.J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, 2010)

Other useful textbooks:

 E. Commins, Quantum Mechanics: an Experimentalist’s Approach, Cambridge University Press, 2014

R. Shankar, Principles of Quantum Mechanics, Springer, 1994 (2nd Ed.)

E. Merzbacher, Quantum Mechanics, Wiley, 1997.

A. Messiah, Quantum Mechanics, Dover, 1999.

All information is representative only, and is likely to change from year to year.