PHYS 452: Quantum Mechanics II - Fall 2016
Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 9:00 AM - 10:15 AM in room 7.427
Recitations: Wed 2:00 PM - 3:50 PM in room 7.427
Office Hours: Tue,Thu 10:20 AM - 11:20 AM in room 7.204 (or by appointment)
Phone: +7 (7172) 69 46 63
Email: sergiy.bubin@nu.edu.kz
Course Description
A significant part of this course is dedicated to the approximate methods of quantum mechanics:
the variational method (including the Hartree-Fock approach), quantum-mechanical perturbation theory,
semiclassical approximation, and adiabatic approximation. Students will also learn the
quantum scattering theory, and, as time permits, the elements of relativistic quantum mechanics, and second quantization.
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 16 |
lec01.pdf |
Variational method. |
| Lecture #2 |
Aug 18 |
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 25 |
lec04.pdf |
Hydrogen molecular ion. |
| Lecture #5 |
Aug 31 |
lec05.pdf |
Hartree-Fock method. |
| Lecture #6 |
Sep 1 |
lec06.pdf |
Stationary perturbation theory for non-degenerate states. |
| Lecture #7 |
Sep 6 |
lec07.pdf |
Stationary perturbation theory for degenerate states. |
| Lecture #8 |
Sep 8 |
lec08.pdf |
Stark effect in hydrogen atom. |
| Lecture #9 |
Sep 13 |
lec09.pdf |
Relativistic correction in hydrogen. |
| Lecture #10 |
Sep 14 |
lec10.pdf |
Spin-orbit interaction. |
| Lecture #11 |
Sep 15 |
lec11.pdf |
Zeeman effect. |
| Lecture #12 |
Sep 21 |
lec12.pdf |
Hyperfine structure. |
| Lecture #13 |
Sep 22 |
lec13.pdf |
WKB approximation. |
| Lecture #14 |
Sep 27 |
lec14.pdf |
Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay. |
| Lecture #15 |
Oct 19 |
lec15.pdf |
Time-dependence and transitions between states. |
| Lecture #16 |
Oct 20 |
lec16.pdf |
Time-dependent perturbation theory. |
| Lecture #17 |
Oct 25 |
lec17.pdf |
Harmonic perturbation. |
| Lecture #18 |
Oct 27 |
lec18.pdf |
Selection rules for electric dipole transitions. |
| Lecture #19 |
Oct 31 |
lec19.pdf |
Fermi's golden rule. Second order transitions. |
| Lecture #20 |
Nov 3 |
lec20.pdf |
Oscillator strength. Classical scattering of particles. |
| Lecture #21 |
Nov 8 |
lec21.pdf |
Quantum scattering. Partial wave analysis. Phase shifts. |
| Lecture #22 |
Nov 10 |
lec22.pdf |
Lippmann-Schwinger equation. Born approximation. |
| Lecture #23 |
Nov 15 |
lec23.pdf |
Adiabatic theorem. |
| Lecture #24 |
Nov 17 |
lec24.pdf |
Berry's phase. |
| Lecture #25 |
Nov 23 |
lec25.pdf |
Aharonov-Bohm effect. | >
| Lecture #26 |
Nov 24 |
lec26.pdf |
Second quantization. |
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. |
