# Advanced Quantum Theory - Material for the year 2019-2020

2019-2020

External Lecturer(s):

Prof. Sid Parameswaran

Course Term:

Michaelmas

### Assessment type:

- Invigilated written examination in TT or no formal assessment; homework completion

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.