PHYS 452 Quantum Mechanics II (Fall 2018)

Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 10:30 AM - 11:45 AM in room 7.527
Recitations: Tue 12:00 PM - 1:15 PM in room 7.527
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. 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 Aug 23
Homework #2 hwhw02.pdf Sep 18
Homework #3 hwhw03.pdf Sep 25
Homework #4 hwhw04.pdf Nov 1
Homework #5 hwhw05.pdf Nov 8
Homework #6 hwhw06.pdf Nov 22
Quiz Date Tasks Solutions
Quiz #1 Aug 28 quizq01.pdf quizq01s.pdf
Quiz #2 Sep 13 quizq02.pdf quizq02s.pdf
Quiz #3 Sep 18 quizq03.pdf quizq03s.pdf
Quiz #4 Sep 27 quizq04.pdf quizq04s.pdf
Quiz #5 Oct 23 quizq05.pdf quizq05s.pdf
  Exam     Date Problems Solutions
Midterm #1 Oct 2 quizmt1.pdf quizmt1s.pdf
Midterm #2 Nov 20 quizmt2.pdf quizmt2s.pdf
Final Nov 28 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 14 leclec01.pdf Variational method.
Lecture #2 Aug 14 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 28 leclec04.pdf Hydrogen molecular ion.
Lecture #5 Sep 4 leclec05.pdf Hartree-Fock method.
Lecture #6 Sep 6 leclec06.pdf Stationary perturbation theory for non-degenerate states.
Lecture #7 Sep 11 leclec07.pdf Stationary perturbation theory for degenerate states.
Lecture #8 Sep 23 leclec08.pdf Stark effect in hydrogen atom.
Lecture #9 Sep 18 leclec09.pdf Relativistic correction in hydrogen.
Lecture #10 Sep 20 leclec10.pdf Spin-orbit interaction.
Lecture #11 Sep 25 leclec11.pdf Zeeman effect.
Lecture #12 Sep 27 leclec12.pdf Hyperfine structure.
Lecture #13 Oct 4 leclec13.pdf WKB approximation.
Lecture #14 Oct 16 leclec14.pdf Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling.
Cold emission of electrons from metal. Gamow's theory of alpha-decay.
Lecture #15 Oct 18 leclec15.pdf Time-dependence and transitions between states. Time-dependent perturbation theory.
Lecture #16 Oct 23 leclec16.pdf Harmonic perturbation.
Lecture #17 Oct 25 leclec17.pdf Selection rules for electric dipole transitions.
Lecture #18 Oct 30 leclec18.pdf Dynamics of two-level atom. Rabi oscillations.
Lecture #19 Nov 1 leclec19.pdf Fermi's golden rule. Second order transitions.
Lectures #20 Nov 8,13 leclec20-21.pdf Quantum scattering. Partial wave analysis. Phase shifts.
Lecture #22 Nov 13,15 leclec22.pdf Lippmann-Schwinger equation. Born approximation.
Lecture #23 Nov 15 leclec23.pdf Adiabatic theorem.
Lecture #23 Nov 22 leclec24.pdf Berry's phase.

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