PHYS 452: Quantum Mechanics II (Spring 2015)

Location & Contact Info
Instructor: Sergiy Bubin
Lecture Hours: Tue,Thu 12:00 PM - 1:15 PM at room 8.318
Recitations: Thu 9:00 AM - 10:15 AM at room 7.427
Office Hours: Tue,Thu 2:00 PM - 3:00 PM at room 7.204 (or by appointment)
Phone: +7 (7172) 69 46 63
Course Description
In this course, students learn quantum-mechanical perturbation theory, quasi-classical approximation, systems of identical quantum particles - fermions and bosons, Hartree-Fock approximation for many particle systems, and the quantum scattering theory. The course concludes with elements of relativistic quantum theory.
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 at the introductory level, some can be found in the library, and can also be very useful in this course. Students are encouraged to explore those. Examples are:
Homework Submission Guidelines
The submission of only answers is not acceptable. Homework must show sufficient proof that a derivation of the solution was carried out. Any student wishing to have the best possible grades on homework returned must:
  • Staple pages together and clearly indicate problem numbers
  • Turn in neat and readable homework as points may be deducted otherwise
  • Show work! Solutions or answers turned in without explanation will not receive full credit
Homework submission in paper form is strongly preferred. However, electronic submissions via email (e.g. a pdf file of scanned pages) are acceptable for those students who are away or must miss a class when the homework is due.
Homework Assignments
Assignment Problems Due Date Solutions
Homework #1 hwhw01.pdf Jan 22 hwhw01s.pdf
Homework #2 hwhw02.pdf Feb 5 hwhw02s.pdf
Homework #3 hwhw03.pdf Feb 12 hwhw03s.pdf
Homework #4 hwhw04.pdf Feb 26
Homework #5 hwhw05.pdf Mar 19
Homework #6 hwhw06.pdf Apr 14
Quiz Date Tasks Solutions
Quiz #1 Jan 27 quizq01.pdf quizq01s.pdf
Quiz #2 Feb 10 quizq02.pdf quizq02s.pdf
Quiz #3 Apr 7 quizq03.pdf quizq03s.pdf
Quiz #4 Apr 21 quizq04.pdf quizq04s.pdf
Quiz #5 Apr 23 quizq05.pdf quizq05s.pdf
  Exam     Date Problems Solutions
Midterm #1 Mar 3 quizmt1.pdf quizmt1s.pdf
Midterm #2 Apr 14 quizmt2.pdf quizmt2s.pdf
Final May 7 quizfin.pdf quizfins.pdf
Lecture Materials
Warning: Lecture materials provided below may be inclomplete and are no substitute for notes taken in class or textbook materials
  Lecture        Date   File Topic
Lecture #1 Jan 13 leclec01.pdf Variational method.
Lecture #2 Jan 20 leclec02.pdf Variational method for excited states. Rayleigh-Ritz scheme.
Lecture #3 Jan 22 leclec03.pdf Variational method applied to the helium atom.
Lecture #4 Jan 20 leclec04.pdf Hydrogen molecular ion.
Lecture #5 Jan 27 leclec05.pdf The Hartree-Fock approximation.
Lecture #6 Jan 29 leclec06.pdf Stationary perturbation theory for nondegenerate states.
Lecture #7 Feb 3 leclec07.pdf Stationary perturbation theory for degenerate states.
Lecture #8 Feb 5 leclec08.pdf The Stark effect in hydrogen atom.
Lecture #9 Feb 10 leclec09.pdf Relativistic (mass-velocity) correction in hydrogen atom.
Lecture #10 Feb 12 leclec10.pdf Spin-orbit interaction.
Lecture #11 Feb 14 leclec11.pdf The Zeeman effect.
Lecture #12 Feb 17 leclec12.pdf The WKB approximation.
Lecture #13 Feb 24 leclec13.pdf Bohr-Sommerfeld quantization rules. Semiclassical barrier tunneling. Gamow's theory of alpha-decay.
Lecture #14 Feb 27 leclec14.pdf Connection formulae in WKB.
Lecture #15 Mar 10 leclec15.pdf Time-dependence and transitions between states.
Lecture #16 Mar 12 leclec16.pdf Time-dependent perturbation theory.
Lecture #17 Mar 17 leclec17.pdf Harmonic perturbation.
Lecture #18 Mar 19 leclec18.pdf Fermi's golden rule. Second order transitions.
Lecture #19 Mar 31 leclec19.pdf Selection rules for dipole transitions.
Lecture #20 Apr 2 leclec20.pdf Oscillator strength. Scattering of classical particles.
Lecture #21 Apr 7 leclec21.pdf Quantum scattering. Partial wave analysis. Phase shifts.
Lecture #22 Apr 9 leclec22.pdf The Born Approximation.
Lecture #23 Apr 21 leclec23.pdf The adiabatic theorem.
Lecture #24 April 23 leclec24.pdf Berry's phase.
Lecture #25 Apr 28 leclec25.pdf Aharonov-Bohm effect.
Lecture #26 Apr 30 leclec26.pdf Relativistic quantum mechanics. Klein-Gordon and Dirac equations.

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