Physics 215C, Graduate Quantum Mechanics, Spring 2011
Prof. Matthew Fisher
email: mpaf@kitp.ucsb.edu
Office: 6105 Broida Hall
Phone: 893-3247
Lectures: Mon, Wed and Fri, 11:00-11:50am, Girvetz 2120
Office Hours: Wed 3:30-5:00pm, Thur 3:00-4:00pm
TA: Ryan Mishmash
email: mishmash@physics.ucsb.edu
Office: 6218 Broida Hall
Office Hours: Tues 2:30-4:00pm, Fri 1:30-3:00pm (6114 Broida, if available)
SYLLABUS:
Since much of the basic graduate quantum mecahnics has been touched upon in 215A and 215B, 215C is usually a potpourri of applications and more advanced topics - as it will be this year. Some of the topics that I hope to cover, even if briefly, are;
Scattering:
- Landauer Transport theory for electrical conduction
- Inelastic scattering (dynamical structure factor)
Miscellaneous:
- Quantum Hall effect
- Bell's Inequality
- Feynman path integrals (instantons and tunneling)
Many-body Topics:
- Quantum Transverse Field Ising Model (Domain walls, Jordan-Wigner in 1d and mean-field theory)
- Second quantization for non-relatvistic Bosons/Fermions (revisited)
- Feynman path integrals for many bosons/Fermions (briefly)
- Weakly Interacting Bosons; Superfluididty and Symmetry breaking
- Quantized Electromagnetic field
Textbooks: No official textbook, since none really exists for such a mix of topics. I will try to suggest useful books when we cover various topics. Among the more elementary books, of which you are presumably familiar, I like Sakurai (did you?) used in 215A-B, "Principles of Quantum Mechanics" by R. Shankar, "Quantum Mechanics" by Merzbacher, as well as the more advanced Sakurai book, "Advanced Quantum Mechanics".