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
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: 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 30
Homework #2 hwhw02.pdf Sep 13
Homework #3 hwhw03.pdf Sep 27
Homework #4 hwhw04.pdf Nov 1
Homework #5 hwhw05.pdf Nov 17
Homework #6 hwhw06.pdf Nov 24
Quiz Date Tasks Solutions
Quiz #1 Aug 23 quizq01.pdf quizq01s.pdf
Quiz #2 Aug 25 quizq02.pdf quizq02s.pdf
Quiz #3 Sep 8 quizq03.pdf quizq03s.pdf
Quiz #4 Sep 15 quizq04.pdf quizq04s.pdf
Quiz #5 Nov 21 quizq05.pdf quizq05s.pdf
  Exam     Date Problems Solutions
Midterm #1 Oct 5 quizmt1.pdf quizmt1s.pdf
Midterm #2 Nov 16 quizmt2.pdf quizmt2s.pdf
Final Dec 5 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 16 leclec01.pdf Variational method.
Lecture #2 Aug 18 leclec02.pdf Variational upper bounds for excited states. Rayleigh-Ritz method.
Lecture #3 Aug 23 leclec03.pdf Variational method applied to helium atom.
Lecture #4 Aug 25 leclec04.pdf Hydrogen molecular ion.
Lecture #5 Aug 31 leclec05.pdf Hartree-Fock method.
Lecture #6 Sep 1 leclec06.pdf Stationary perturbation theory for non-degenerate states.
Lecture #7 Sep 6 leclec07.pdf Stationary perturbation theory for degenerate states.
Lecture #8 Sep 8 leclec08.pdf Stark effect in hydrogen atom.
Lecture #9 Sep 13 leclec09.pdf Relativistic correction in hydrogen.
Lecture #10 Sep 14 leclec10.pdf Spin-orbit interaction.
Lecture #11 Sep 15 leclec11.pdf Zeeman effect.
Lecture #12 Sep 21 leclec12.pdf Hyperfine structure.
Lecture #13 Sep 22 leclec13.pdf WKB approximation.
Lecture #14 Sep 27 leclec14.pdf Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay.
Lecture #15 Oct 19 leclec15.pdf Time-dependence and transitions between states.
Lecture #16 Oct 20 leclec16.pdf Time-dependent perturbation theory.
Lecture #17 Oct 25 leclec17.pdf Harmonic perturbation.
Lecture #18 Oct 27 leclec18.pdf Selection rules for electric dipole transitions.
Lecture #19 Oct 31 leclec19.pdf Fermi's golden rule. Second order transitions.
Lecture #20 Nov 3 leclec20.pdf Oscillator strength. Classical scattering of particles.
Lecture #21 Nov 8 leclec21.pdf Quantum scattering. Partial wave analysis. Phase shifts.
Lecture #22 Nov 10 leclec22.pdf Lippmann-Schwinger equation. Born approximation.
Lecture #23 Nov 15 leclec23.pdf Adiabatic theorem.
Lecture #24 Nov 17 leclec24.pdf Berry's phase.
Lecture #25 Nov 23 leclec25.pdf Aharonov-Bohm effect.
Lecture #26 Nov 24 leclec26.pdf Second quantization.

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