Advanced Quantum Theory - Material for the year 2019-2020

2019-2020
External Lecturer(s): 
Prof. Sid Parameswaran
Course Term: 
Michaelmas

Assessment type:

Course Overview: 

20 lectures
Weight: 1.25 units
Areas: CMT, foundational course
Please submit your homework for Advanced Quantum Theory via the 'assignments' tab.
Visiting and Short Option Students Only: Please e-mail your work to your TA/Tutor by the required deadline, copying in mmathphys@maths.ox.ac.uk

Course Synopsis: 

Path integrals in Quantum Mechanics; the propagator.
Path Integrals in Quantum Statistical Mechanics; correlation functions; perturbation theory;
Feynman diagrams.
Path Integrals and Transfer Matrices.
Transfer matrix approach to the Ising Model.
Second quantisation. Ideal Fermi gas in second quantization.
Weakly interacting Bose gas: Bogoliubov theory; superfluidity.
Spinwaves in a ferromagnet.
Landau theory of phase transitions.