Physics 215C (Spring 2013)


Physics 215C, Graduate Quantum Mechanics, Spring 2013


Prof. Matthew Fisher 

Office: 6105 Broida Hall 
Phone: 893-3247
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:


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)

 Many-body Topics:

  • 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.