Advanced Quantum Theory (2019-20)
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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
Prof. Sid Parameswaran
Invigilated written examination in TT or no formal assessment; homework completion
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.