260014 VO Quantum mechanics of large systems (2011W)
Labels
Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
Wednesday
05.10.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
06.10.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
12.10.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
13.10.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
19.10.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
20.10.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
27.10.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
03.11.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
09.11.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
10.11.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
16.11.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
17.11.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
23.11.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
24.11.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
30.11.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
01.12.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
07.12.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
14.12.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
15.12.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
11.01.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
12.01.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
18.01.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
19.01.
11:15 - 13:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Wednesday
25.01.
10:15 - 12:00
Erwin-Schrödinger-Hörsaal, Boltzmanngasse 5, 5. Stk., 1090 Wien
Thursday
26.01.
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/0610117W. Thirring: Quantum Mechanics of Large Systems, Springer 1980.
Association in the course directory
MaG 16, MaV 4, PD250, PD320
Last modified: Mo 07.09.2020 15:40