Advanced Quantum Mechanics I
2020 D2: Please check your e-mail about the start of classes
You should check your e-mail regularly, as the COVID-19 conditions may change, and classes may switch between F2F and online according to the university policies,
based on public health guidelines.
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
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 (35%), 1 midterm test (30%), final exam (35%)
late assignments will not be accepted unless approved by the instructor
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