Advanced Quantum Theory

Module:

MVAMO2, 2L+1T, 4 CreditPoints

Lecture days and times:

Thursday, 11:15-13:00, kleiner Hörsaal, Philosophenweg 12

Additional lecture on Tuesday, May 29 (instead of June 21): 14:15-16:00, SR 1.404, INF 227

Tutorials:

Tuesdays, every second week starting April 24.

Tue, 14:15 - 16:00: INF 227 (KIP), SR 1.404;
Tue, 16:15 - 18:00: INF 227 (KIP), SR 2.402;

Please register for the tutorials

Prerequisites:

PEP1-4, PTP1-4, in particular Quantum Mechanics (PTP4)

Preliminary contents:

1. Introduction
   - A brief reminder of some basics of quantum mechanics
2. Quantum theory of matter
   - Harmonic oscillator - Identical particles - Bosons and fermions - Fock space - Spin and statistics
3. Interactions
   - Born-Oppenheimer approximation - Potential scattering - Lippmann-Schwinger equation and Born approximation - Partial-wave expansion - Scattering cross section and optical theorem - S-matrix and scattering phase - Resonance scattering and scattering length - Time dependent scattering theory
4. Theory of quantum states
   - Density operator - Pure states and mixed ensembles - Environment and partial trace - The measurement process - Entanglement (EPR, Bell's inequalities)
5. Open quantum systems
   - Quantization of the electromagnetic field - Interaction of atoms with electromagnetic vacuum - The Jaynes-Cummings model - Collapse and revival - Open quantum systems - Dissipation in classical systems - Master equation - Spontaneous Emission - Decoherence