# Tilman Enss | Teaching — Advanced Quantum Theory

as of 09 Apr 2018

## Advanced Quantum Theory (MVAMO2)

#### Summer term 2018

**Module:** MVAMO2, 2L+1T, 4ECTS

**Lecturer:** Priv.-Doz. Dr. Tilman Enss

**Lecture days and times:** Thursday, 11:15-13:00,
kleiner Hörsaal, Philosophenweg 12

**Additional lectures on certain Tuesdays:**
May 29 (instead of Fronleichnam/Corpus Christi), 14:15-16:00, SR 1.404, INF 227

**Tutorials:**
Tuesdays, every second week,

group 1: Tue, 14:15 - 16:00, SR 1.404, INF 227

group 2: Tue, 16:15 - 18:00, SR 2.402, INF 227

Please register for the tutorials at this URL.

#### Preliminary contents:

**Introduction**

- A brief reminder of some basics of quantum mechanics**Quantum theory of matter**

- Harmonic oscillator - Identical particles - Bosons and fermions - Fock space - Spin and statistics**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**Theory of quantum states**

- Density operator - Pure states and mixed ensembles - Environment and partial trace - The measurement process - Entanglement (EPR, Bell's inequalities)**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

#### Prerequisites

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