PHYS 452 Quantum Mechanics II (Fall 2019)
Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 10:30 AM  11:45 AM in room 7.427
Recitations: Tue 12:00 PM  1:15 PM in room 7.427
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 HartreeFock approach), stationary and timedependent
perturbation theory, semiclassical approximation, and adiabatic approximation.
In the framework of these methods some important applications will be considered, such as the fine structure
of atomic energy levels, chemical bonding, theory of alphadecay, selection rules for dipole transitions, Rabi oscillations, etc.
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 may 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 13 
lec01.pdf 
Variational method. 
Lecture #2 
Aug 15 
lec02.pdf 
Variational upper bounds for excited states. RayleighRitz method. 
Lecture #3 
Aug 20 
lec03.pdf 
Variational method applied to helium atom. 
Lecture #4 
Aug 22 
lec04.pdf 
Hydrogen molecular ion. 
Lecture #5 
Aug 27 
lec05.pdf 
HartreeFock method. 
Lecture #6 
Aug 29 
lec06.pdf 
Stationary perturbation theory for nondegenerate states. 
Lecture #7 
Sep 3 
lec07.pdf 
Stationary perturbation theory for degenerate states. 
Lecture #8 
Sep 5 
lec08.pdf 
Stark effect in hydrogen atom. 
Lecture #9 
Sep 7 
lec09.pdf 
Relativistic correction in hydrogen. 
Lecture #10 
Sep 10 
lec10.pdf 
Spinorbit interaction. 
Lecture #11 
Sep 12 
lec11.pdf 
Zeeman effect. 
Lecture #12 
Sep 17 
lec12.pdf 
Hyperfine structure. 
Lecture #13 
Sep 19 
lec13.pdf 
WKB approximation. 
Lecture #14 
Oct 15 
lec14.pdf 
BohrSommerfeld quantization rules. Semiclassical barrier tunneling. Cold emission of electrons from metal. Gamow's theory of alphadecay. 
Lecture #15 
Oct 17 
lec15.pdf 
Timedependence and transitions between states. Timedependent perturbation theory. 
Lecture #16 
Oct 22 
lec16.pdf 
Harmonic perturbation. 
Lecture #17 
Oct 24 
lec17.pdf 
Selection rules for electric dipole transitions. 
Lecture #18 
Oct 29 
lec18.pdf 
Dynamics of twolevel atom. Rabi oscillations. 
Lecture #19 
Oct 31 
lec19.pdf 
Fermi's golden rule. Second order transitions. 
Lecture #20 
Nov 5 
lec20.pdf 
Classical and quantum scattering. 
Lecture #21 
Nov 7 
lec21.pdf 
Partial wave analysis. Phase shifts. 
Lecture #22 
Nov 7,14 
lec22.pdf 
LippmannSchwinger equation. Born approximation. 
Lecture #23 
Nov 14 
lec23.pdf 
Adiabatic theorem. 
Lecture #23 
Nov 19 
lec24.pdf 
Berry's phase. 
Lecture #24 
Nov 21 
lec25.pdf 
AharonovBohm effect. 
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.
