Math.Koll. am 25.10.06/Prof. Maurice de Gosson

[Institut für Mathematik]

Mathematisches Kolloquium

EINLADUNG

zu einem

VORTRAG

von

Prof. Maurice de Gosson
(Institut fuer Mathematik, Universitaet Wien)

mit dem Thema:

''Denstiy Operators and the Uncertainty Principle ''

Abstract:
A density operator on a Hilbert space is a nonnegative self-adjoint trace
class operator with trace one. (Density operators play a fundamental role in
quantum mechanics, because they describe the mixed states and their Wigner
transforms). It has been known for a long time that the positivity of
self-adjoint operators is intimately related to the uncertainty principle.
The aim of this talk is to relate previous work of Narcowich, O'Connell, and
others, on the topic ,to Gromov's non-squeezing theorem of symplectic
topology. This gives us the opportunity to discuss in some depth a precise
formulation of the uncertainty principle ignored by most authors, and to
relate it to the notion of symplectic capacity.

Zeit: Mittwoch, 25. Oktober 2006, 15.45 Uhr (Kaffeejause), anschlieszend
16.15 Uhr Vortrag

Ort: Fakultaet fuer Mathematik der Universitaet Wien, Nordbergstr. 15,
Seminarraum C 2.09

Harald Rindler
Hans Georg Feichtinger