Universität Wien

260014 VO Quantum mechanics of large systems (2007W)

5.00 ECTS (4.00 SWS), SPL 26 - Physik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Wednesday 03.10. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 04.10. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 10.10. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 11.10. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 17.10. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 18.10. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 24.10. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 25.10. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 31.10. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Wednesday 07.11. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 08.11. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 14.11. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 15.11. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 21.11. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 22.11. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 28.11. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 29.11. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 05.12. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 06.12. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 12.12. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 13.12. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 09.01. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 10.01. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 16.01. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 17.01. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 23.01. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 24.01. 10:00 - 12:00 Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
  • Wednesday 30.01. 11:00 - 13:00 Seminarraum A, Währinger Straße 17, 2. Stk., 1090 Wien
  • Thursday 31.01. 10:00 - 12:00 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. Dilute Bose gases: Ground state energy of homogeneous gases, inhomogeneous gases and Gross-Pitaeveskii theory, Bose-Einstein condensation.

III. Thermodynamical potentials: Statistical ensebles, thermodynamical limit, convexity and stability.

Assessment and permitted materials

Minimum requirements and assessment criteria

The course introduces students to the mathematical physics of quantum mechanical many-body systems. The main emphasise is on normal matter with realistic forces. Bose-Einstein condensation is also treated. 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

Reading list

E.H. Lieb: The Stability of Matter: From Atoms to Stars, 3rd ed. Springer 2001.

Elliott H. Lieb, Robert Seiringer, Jan Philip Solovej, Jakob Yngvason: The Mathematics of the Bose Gas and its Condensation, Birkhäuser, 2005

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

Association in the course directory

PD250,320

Last modified: Mo 07.09.2020 15:40