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
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.
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 alpha-decay, 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.
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)
Important note: Lecture materials provided below may be inclomplete
and should not be considered a substitute for notes taken in class or textbook materials
||Variational upper bounds for excited states. Rayleigh-Ritz method.
||Variational method applied to helium atom.
||Hydrogen molecular ion.
||Stationary perturbation theory for non-degenerate states.
||Stationary perturbation theory for degenerate states.
||Stark effect in hydrogen atom.
||Relativistic correction in hydrogen.
||Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay.
||Time-dependence and transitions between states. Time-dependent perturbation theory.
||Selection rules for electric dipole transitions.
||Dynamics of two-level atom. Rabi oscillations.
||Fermi's golden rule. Second order transitions.
||Classical and quantum scattering.
||Partial wave analysis. Phase shifts.
||Lippmann-Schwinger equation. Born approximation.
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