PHYS 452 Quantum Mechanics II (Fall 2017)

Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 9:00 AM - 10:15 PM in room 7.427
Recitations: Thu 3:00 PM - 4:15 PM in room 7.427
Office Hours: Tue,Thu 10:20 AM - 11:30 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), stationary and time-dependent perturbation theory, semiclassical approximation, and adiabatic approximation. 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 will 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 Sep 14
Homework #2 hwhw02.pdf Sep 26
Homework #3 hwhw03.pdf Oct 10
Homework #4 hwhw04.pdf Nov 9
Homework #5 hwhw05.pdf Nov 24
Quiz Date Tasks Solutions
Quiz #1 Sep 12 quizq01.pdf quizq01s.pdf
Quiz #2 Sep 21 quizq02.pdf quizq02s.pdf
Quiz #3 Sep 26 quizq03.pdf quizq03s.pdf
Quiz #4 Oct 24 quizq04.pdf quizlec14.pdf (see page 3)
Quiz #5 Oct 31 quizq05.pdf quizq05s.pdf
  Exam     Date Problems Solutions
Midterm #1 Oct 10 quizmt1.pdf quizmt1s.pdf
Midterm #2 Nov 14 quizmt2.pdf quizmt2s.pdf
Final Dec 8 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 Sep 5 leclec01.pdf Variational method.
Lecture #2 Sep 7 leclec02.pdf Variational upper bounds for excited states. Rayleigh-Ritz method.
Lecture #3 Sep 9 leclec03.pdf Variational method applied to helium atom.
Lecture #4 Sep 12 leclec04.pdf Hydrogen molecular ion.
Lecture #5 Sep 14 leclec05.pdf Hartree-Fock method.
Lecture #6 Sep 19 leclec06.pdf Stationary perturbation theory for non-degenerate states.
Lecture #7 Sep 21 leclec07.pdf Stationary perturbation theory for degenerate states.
Lecture #8 Sep 23 leclec08.pdf Stark effect in hydrogen atom.
Lecture #9 Sep 26 leclec09.pdf Relativistic correction in hydrogen.
Lecture #10 Sep 28 leclec10.pdf Spin-orbit interaction.
Lecture #11 Oct 3 leclec11.pdf Zeeman effect.
Lecture #12 Oct 5 leclec12.pdf Hyperfine structure.
Lecture #13 Oct 17 leclec13.pdf WKB approximation.
Lecture #14 Oct 19 leclec14.pdf Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay.
Lecture #15 Oct 24 leclec15.pdf Time-dependence and transitions between states.
Lecture #16 Oct 26 leclec16.pdf Time-dependent perturbation theory.
Lecture #17 Oct 31 leclec17.pdf Harmonic perturbation.
Lecture #18 Nov 2 leclec18.pdf Selection rules for electric dipole transitions.
Lecture #19 Nov 7 leclec19.pdf Dynamics of two-level atom. Rabi oscillations.
Lecture #20 Nov 9 Fermi golden rule.
Lectures #21-22 Nov 16 leclec21-22.pdf Quantum scattering. Partial wave analysis. Phase shifts.
Lecture #23 Nov 21 leclec23.pdf Lippmann-Schwinger equation. Born approximation.
Lecture #23 Nov 23 leclec24.pdf Adiabatic theorem.

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