Advanced Quantum Mechanics I
Classes start Wednesday September 5
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, timedependent perturbation theory; elastic scattering.)
Major topics and subtopics:
Angular momentum: addition of angular momenta, angular momentum and rotation, irreducible tensor operators, WignerEckert theorem
and applications.
Theory of scattering, scattering amplitude and crosssection, partial wave analysis, Green's function, Born approximation, Optical theorem, LippmannSchwinger equation, symmetry considerations in scattering
Motion of charged particles in magnetic fields, BohmAharonov effect, fluxquantization, Landau levels, Quantum Hall effect
Time evolution in quantum mechanics, timedependent perturbation theory, Fermi Golden Rule and some applications, scattering amplitudes via
timedependent 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 Physcis by Stephen Gasiorowicz
 Quantum Mechanics by Amit Goswami
Some older textbooks:
 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
