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 lecture on Tuesday, May 29 (instead of June 21), 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.
Exam: Tue July 31, 10:00 - 12:00, Phil12 großer Hörsaal

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

Lecture notes/additional material

Lecture notes and additional material will be made available on the course website.

Literature

There are many good textbooks on Quantum Mechanics, here are a few:

  • Jean-Louis Basdevant, Jean Dalibard, Quantum Mechanics. Springer 2002.
  • Claude Cohen-Tannoudji, Bernard Diu, Franck Laloë, Quantum Mechanics. Wiley, New York, 2005 (Nachdr.). [ Google books | HEIDI ]
  • L.D. Landau and E. M. Lifshitz, Quantum Mechanics. Non-relativistic theory. Pergamon Press, Oxford, 1977. [ HEIDI | Online Full Text ]
  • F. Schwabl, Quantenmechanik I, II [in German]. Springer 2007. [ Ebook I | Ebook II ]
  • N. Straumann, Quantenmechanik [in German]. Springer 2013. [ Ebook ]
  • Steven Weinberg, Lectures on Quantum Mechanics. Cambridge University Press, 2nd ed., 2015. [ Google books | HEIDI ]

Scattering theory

  • C.J. Joachain, Quantum Collision Theory. North-Holland, Amsterdam, 1983. [ HEIDI | Scribd Full Text ]
  • Landau and Lifshitz (see above), see Chapters XVII & XVIII.

Prerequisites

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