Universität Wien
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260019 VO Quantum mechanics of large systems (2013W)

5.00 ECTS (4.00 SWS), SPL 26 - Physik

Details

Language: German

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 03.10. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 09.10. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 10.10. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 16.10. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 23.10. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 24.10. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 30.10. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 31.10. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 06.11. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 07.11. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 13.11. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 14.11. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 20.11. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 21.11. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 27.11. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 28.11. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 04.12. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 05.12. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 11.12. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 12.12. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 18.12. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 08.01. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 09.01. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 15.01. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 16.01. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 22.01. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 23.01. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 29.01. 10:15 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Thursday 30.01. 11:15 - 13:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien

Information

Aims, contents and method of the course

I. Ground states of large atoms and molecules: Thomas Fermi theory and ist variants, basics of density functional theory, stability of matter, Hartree and Hartree-Fock theory.

II. Cold quantum gases: Ground state energy of dilute Bose gases, inhomogeneous gases and Gross-Pitaeveskii theory, Bose-Einstein condensation. Rotating Bose gases and quantized vortices. Quantum gases in optical lattices.

Assessment and permitted materials

Oral examination

Minimum requirements and assessment criteria

The course introduces students to the mathematical physics of quantum mechanical many-body systems. The main emphasis is on Stability of Matter and the physics of cold quantum gases and Bose-Einstein condensation. The physical ideas and mathematical techniques from nonlinear functional analysis that are developed in the course are also important in other areas of physics and mathematics (continuum mechanics and hydrodynamics; variational calculus and nonlinear partial differential equations.)

Examination topics

Lecture

Reading list

E.H. Lieb: The Stability of Matter: From Atoms to Stars, 4rd ed. Springer 2005.

Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason: The Mathematics of the Bose Gas and its Condensation, Birkhäuser, 2005; arXiv:cond-mat/0610117

W. Thirring: Quantum Mechanics of Large Systems, Springer 1980.

Association in the course directory

MaG 16, MaV 4

Last modified: Mo 07.09.2020 15:40