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
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. 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.
Course Info
Syllabus: syllabussyllabus.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:
Homework Assignments
Assignment Problems Due Date Solutions
Homework #1 hwhw01.pdf Aug 22 hwhw01s.pdfasgnhw01-2.pyasgnhw01-2.txt
Homework #2 hwhw02.pdf Sep 10
Homework #3 hwhw03.pdf Sep 19
Homework #4 hwhw04.pdf Oct 24
Homework #5 hwhw05.pdf Oct 31
Homework #6 hwhw06.pdf Nov 19
Quiz Date Tasks Solutions
Quiz #1 Aug 27 quizq01.pdf quizq01s.pdf
Quiz #2 Sep 5 quizq02.pdf quizq02s.pdf
Quiz #3 Sep 17 quizq03.pdf quizq03s.pdf
Quiz #4 Oct 22 quizq04.pdf quizq04s.pdf
Quiz #5 Oct 24 quizq05.pdf quizq05s.pdf
Quiz #6 Nov 21 quizq06.pdf quizq06s.pdf
  Exam     Date Problems Solutions
Midterm #1 Sep 24 quizmt1.pdf quizmt1s.pdf
Midterm #2 Nov 12 quizmt2.pdf quizmt2s.pdf
Final Nov 30 quizfin.pdf quizfins.pdf
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 leclec01.pdf Variational method.
Lecture #2 Aug 15 leclec02.pdf Variational upper bounds for excited states. Rayleigh-Ritz method.
Lecture #3 Aug 20 leclec03.pdf Variational method applied to helium atom.
Lecture #4 Aug 22 leclec04.pdf Hydrogen molecular ion.
Lecture #5 Aug 27 leclec05.pdf Hartree-Fock method.
Lecture #6 Aug 29 leclec06.pdf Stationary perturbation theory for non-degenerate states.
Lecture #7 Sep 3 leclec07.pdf Stationary perturbation theory for degenerate states.
Lecture #8 Sep 5 leclec08.pdf Stark effect in hydrogen atom.
Lecture #9 Sep 7 leclec09.pdf Relativistic correction in hydrogen.
Lecture #10 Sep 10 leclec10.pdf Spin-orbit interaction.
Lecture #11 Sep 12 leclec11.pdf Zeeman effect.
Lecture #12 Sep 17 leclec12.pdf Hyperfine structure.
Lecture #13 Sep 19 leclec13.pdf WKB approximation.
Lecture #14 Oct 15 leclec14.pdf Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay.
Lecture #15 Oct 17 leclec15.pdf Time-dependence and transitions between states. Time-dependent perturbation theory.
Lecture #16 Oct 22 leclec16.pdf Harmonic perturbation.
Lecture #17 Oct 24 leclec17.pdf Selection rules for electric dipole transitions.
Lecture #18 Oct 29 leclec18.pdf Dynamics of two-level atom. Rabi oscillations.
Lecture #19 Oct 31 leclec19.pdf Fermi's golden rule. Second order transitions.
Lecture #20 Nov 5 leclec20.pdf Classical and quantum scattering.
Lecture #21 Nov 7 leclec21.pdf Partial wave analysis. Phase shifts.
Lecture #22 Nov 7,14 leclec22.pdf Lippmann-Schwinger equation. Born approximation.
Lecture #23 Nov 14 leclec23.pdf Adiabatic theorem.
Lecture #23 Nov 19 leclec24.pdf Berry's phase.
Lecture #24 Nov 21 leclec25.pdf Aharonov-Bohm effect.

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