PHYS 452 Quantum Mechanics II (Fall 2018)
Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 10:30 AM - 11:45 AM in room 7.527
Recitations: Tue 12:00 PM - 1:15 PM in room 7.527
Office Hours: Tue,Thu 1:30 PM - 2:30 PM in room 7E.333, or by appointment
Phone: +7 (7172) 69 46 63
Email: sergiy.bubin@nu.edu.kz
Course Description
This course covers several widely used approximate methods of quantum mechanics:
the variational method (including the Hartree-Fock approach), stationary and time-dependent
perturbation theory, semiclassical approximation, and adiabatic approximation. Students will also
learn the basics of quantum scattering theory. If time permits, some elements of relativistic
quantum mechanics and/or the formalism of second quantization will be considered. The course will
include two lectures per week accompanied by a recitation.
Course Info
Syllabus:  syllabus.pdf
Required Textbook
David J. Griffiths, Introduction to Quantum Mechanics (2nd Edition)
Other Useful References
Many other texts exist on quantum mechanics both at the introductory and more advanced level,
some can be found in the library, and can also be very useful in this course.
Students are encouraged to explore those. Examples of the introductory level textbooks are:
- Richard Liboff, Introductory Quantum Mechanics (4th Edition)
- Robert Scherrer, Quantum Mechanics: An Accessible Introduction
- Robert Eisberg, David O. Caldwell, and Richard J. Christman, Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles
- Ira N. Levine, Quantum Chemistry (6th Edition)
Homework Assignments
Quizzes
Exams
Lecture Materials
Important note: Lecture materials provided below may be inclomplete
and should not be considered a substitute for notes taken in class or textbook materials
| Lecture
| Date
| File
| Topic
|
| Lecture #1 |
Aug 14 |
lec01.pdf |
Variational method. |
| Lecture #2 |
Aug 14 |
lec02.pdf |
Variational upper bounds for excited states. Rayleigh-Ritz method. |
| Lecture #3 |
Aug 23 |
lec03.pdf |
Variational method applied to helium atom. |
| Lecture #4 |
Aug 28 |
lec04.pdf |
Hydrogen molecular ion. |
| Lecture #5 |
Sep 4 |
lec05.pdf |
Hartree-Fock method. |
| Lecture #6 |
Sep 6 |
lec06.pdf |
Stationary perturbation theory for non-degenerate states. |
| Lecture #7 |
Sep 11 |
lec07.pdf |
Stationary perturbation theory for degenerate states. |
| Lecture #8 |
Sep 23 |
lec08.pdf |
Stark effect in hydrogen atom. |
| Lecture #9 |
Sep 18 |
lec09.pdf |
Relativistic correction in hydrogen. |
| Lecture #10 |
Sep 20 |
lec10.pdf |
Spin-orbit interaction. |
| Lecture #11 |
Sep 25 |
lec11.pdf |
Zeeman effect. |
| Lecture #12 |
Sep 27 |
lec12.pdf |
Hyperfine structure. |
| Lecture #13 |
Oct 4 |
lec13.pdf |
WKB approximation. |
| Lecture #14 |
Oct 16 |
lec14.pdf |
Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay. |
| Lecture #15 |
Oct 18 |
lec15.pdf |
Time-dependence and transitions between states. Time-dependent perturbation theory. |
| Lecture #16 |
Oct 23 |
lec16.pdf |
Harmonic perturbation. |
| Lecture #17 |
Oct 25 |
lec17.pdf |
Selection rules for electric dipole transitions. |
| Lecture #18 |
Oct 30 |
lec18.pdf |
Dynamics of two-level atom. Rabi oscillations. |
| Lecture #19 |
Nov 1 |
lec19.pdf |
Fermi's golden rule. Second order transitions. |
| Lectures #20 |
Nov 8,13 |
lec20-21.pdf |
Quantum scattering. Partial wave analysis. Phase shifts. |
| Lecture #22 |
Nov 13,15 |
lec22.pdf |
Lippmann-Schwinger equation. Born approximation. |
| Lecture #23 |
Nov 15 |
lec23.pdf |
Adiabatic theorem. |
| Lecture #23 |
Nov 22 |
lec24.pdf |
Berry's phase. |
Found an error on this page or in any of the pdf files? Send an email to the instructor at sergiy.bubin@nu.edu.kz. |
