University of Heidelberg

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:

  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

Prerequisites

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