Physics 215B (Winter 2018)

Physics 215B, Graduate Quantum Mechanics, Winter 2018

 

Prof. Matthew Fisher 

email: mpaf@kitp.ucsb.edu ;
Office: 2305 Kohn Hall
Lectures: Monday, Wednesday 11:00-12:15 pm, Arts 1356
Office Hours: Wednesday, 2-3pm

Find the course web site thru my personal web site:  http://www.kitp.ucsb.edu/mpaf

Grader/TA: Alex Rasmussen

email: adr@physics.ucsb.edu 
Office: 6218 Broida Hall
Office Hours: Thursday 1-4pm 

 

Textbooks: As for 215A, the "official" textbook for 215B is Sakurai/Napolitano (2nd edition).  There are many good QM books - including Shankar, Gottfried/Yan, Landau-Lifshitz, among others.  However, I am hoping to include some more modern topics (Landauer scattering theory, Quantum Ising model and Majorana Fermions) which are not in these books.  I will try to suggest other reading/books when relevant.

Homework:  Roughly 6-7 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 requested!

Help/feedback:  In addition to my office hours and Alex' 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.  

 

Problem Sets

Problem set 1

Problem set 2

Problem set 3

Problem set 4

Problem set 5

 

Problem Solutions

ps1 solutions

ps2 solutions

ps3 solutions

ps4 solutions

ps5 solutions

 

 

 

 

215A Syllabus (Fall 2017):

Mathematical Primer

Formulation of Quantum Mechanics

2-State Quantum System(s)
Density Matrices

Entanglement

Quantum "Paradoxes"

Quantum Computing

Symmetry in Quantum Mechanics

 

SYLLABUS for 215B 

Approximation methods

  • Time Independent Perturbation Theory
  • Time dependent perturbation theory

Path Integral Formulation of Quantum Mechanics:

  • Real time and Euclidian path integral
  • Instantons and tunneling
  • Multi-particle path integrals

Quantum (Lattice) Field Theory: 

  • Quantum Transverse Field Ising model 
  • 1d Quantum Ising Model and Majorana Fermions