Physics 215C, Graduate Quantum Mechanics, Spring 2013
Prof. Matthew Fisher
Office: 6105 Broida Hall
Lectures: Monday, Wednesday 11:00-12:15 pm, Building 387, Room 103
Office Hours: Monday 2:00-3:00 pm, Wednesday 1:30-3:00 pm
Find the course web site thru my personal web site: http://www.kitp.ucsb.edu/mpaf
TA: James Sully
Office: 6126 Broida Hall, 805-285-2643
Office Hours: Tuesday 2:30-3:30 pm , Thursday 4-5 pm
Physics 215C will be a continuation of 215B. The hope is to finish up a few topics in quantum systems with a few degrees of freedom (eg Bell's inqequality, quantum informaiton, Feynman single-particle path integral) before diving into more ambitious topics in many-body quantum systems. Below is a loose syllabus, subject to modification as the quarter proceeds:
- Entanglement and Bell's Inequality
- Quantum Computation (in brief)
- Feynman path integrals (instantons and tunneling)
- Quantum Transverse Field Ising Model (Jordan-Wigner in 1d)
- Second quantization for non-relatvistic Bosons/Fermions (revisited)
- Weakly Interacting Bosons; Superfluidity and Symmetry breaking
- Non-relativistic Fermi gas (continuum and tight-binding model)
- Quantized Electromagnetic field
- Dirac Theory in 1d, 2d and 3d
Textbooks: For 215C there will be no official textbook. During each of the topics I will try to suggest possible books/sources to read. Please pester me on this, to make sure I follow thru - thanks!
Homework: Again, roughly 5-7 homeworks throughout the quarter, available on the course web site. Homework solutions also posted online. You are encouraged to work together on the homeworks.
Exams: None. Unless by popular demand!
Help/feedback: In addition to my office hours and James' office hours, I would be happy to schedule a mutually convenient time to chat about homework or other topics (best arranged by e-mail). I would greatly appreciate feedback on any aspect of the course, anytime throughout the quarter.