Universität Wien

250127 VO Symplectic Geometry and Quantum Mechanics in Phase Space (2009W)

5.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Mo, Do: 16:00 - 17:30, Alserbachstr. 23, NuHAG, ab 8.10.2009 (geblockt, bis Ende Nov. 2009)

mehr informationen unter http://www.univie.ac.at/nuhag-php/lv-info.php?id=58

Details

Sprache: Deutsch

Prüfungstermine

Lehrende

Termine

Zur Zeit sind keine Termine bekannt.

Information

Ziele, Inhalte und Methode der Lehrveranstaltung

This course is aimed at being an introduction to methods from modern
symplectic geometry and its applications to time-frequency analysis and to
quantum mechanics in phase space.
Besides a key role in physics and engineering, symplectic geometry is found
increasingly to play an important role in mathematics --pure or applied.
"Symplectization", as V.I. Arnol'd calls it, has already taken place in
much of mathematical physics, in particular in Hamiltonian mechanics and
its refinement, quantum mechanics. In this course we will develop the main
techniques of symplectic geometry needed to understand and be able to use
this branch of mathematics and acquire a working knowledge of it. Some open
problems belonging to the thriving field of symplectic topology and its
possible applications to quantum mechanics will be briefly discussed.

Art der Leistungskontrolle und erlaubte Hilfsmittel

Oral end examination

Mindestanforderungen und Beurteilungsmaßstab

Prüfungsstoff

Literatur

(1) Maurice de Gosson: Symplectic Geometry and Quantum Mechanics, Birkhäuser, 2006
(2) Handouts

Zuordnung im Vorlesungsverzeichnis

MANV

Letzte Änderung: Mi 19.08.2020 08:05