Advanced Quantum Mechanics I
Instructor: S.K. Bose

Classes start Wednesday September 6


Course outline:
(Brock Graduate Calendar Description: Angular momentum, rotations, and scalar and vector operators, selection rules; Pauli principle and periodic table; nuclear shell model; degenerate perturbation theory; electron in magnetic field, Landau levels; time evolution in quantum mechanics, time-dependent perturbation theory; elastic scattering.)
Major topics and subtopics:
Angular momentum: addition of angular momenta, angular momentum and rotation, irreducible tensor operators, Wigner-Eckert theorem and applications.
Theory of scattering, scattering amplitude and cross-section, partial wave analysis, Green's function, Born approximation, Optical theorem, Lippmann-Schwinger equation, symmetry considerations in scattering
Motion of charged particles in magnetic fields, Bohm-Aharonov effect, flux-quantization, Landau levels, Quantum Hall effect
Time evolution in quantum mechanics, time-dependent perturbation theory, Fermi Golden Rule and some applications, scattering amplitudes via time-dependent perurbation theory
Degenerate perturbation theory and applications
Note:
Contents of this course are more or less the same as that of PHYS4P52 offered in previous years. Students with credits in PHYS4P52 should not register for this course.
Textbook:

There is no required textbook for the course. The library has many textbooks on this subject and students can choose any book they find suitable. Some suggested books are:
(call numbers of the books available in Brock Library are shown)

  • Quantum Mechanics- A Modern Development by Leslie E. Ballentine QC 174.12 B35 1990
    World Scientific has 1998 version, reprinted in 1999, 2000, 2001, 2005
  • Principles of Quantum Mechanics by R. Shankar QC174.12 S52 1994
  • Quantum Mechanics by J.J. Sakurai QC174.12 S25 1994
  • Quantum Mechanics by Eugen Merzbacher QC174.1 M36 and QC1741.2 M47 1998
  • Lectures on Quantum Mechanics by Gordon Baym QC174.1 B295
  • Quantum Mechanics by A. Messiah QC174.1 M413 V.1 and V.2
  • Quantum Mechanics by K. Gottfiried QC 174.1 G64
  • Quantum Mechanics by L.I. Schiff

Marking scheme:

assignments (40%), 1 midterm test (25%), final exam (35%)

late assignments will not be accepted unless approved by the instructor