22. September 2017:

ARI GUEST TALK
14.00 o'clock,
ARI Seminar Room, Wohllebengasse 12-14 / 1st Floor

Covariant Weyl-Heisenberg integral quantisations - Prof. Jean-Pierre Gazeau

Abstract

Prof. Jean-Pierre Gazeau, Paris Diderot University
AstroParticule et Cosmologie (APC) UMR 7164

The talk focuses on the regularising  role of integrals, symmetry and probabilities in building a quantum model from a classical one. This quantisation procedure will be  described in simple terms through one of the most basic examples of Mechanics. Starting from probability distribution(s) on the Euclidean plane viewed as the phase space for the motion of a point particle on the line, i.e. its classical model, I will show how to build corresponding quantum model(s) and associated probabilities (e.g. Husimi) or quasi-probabilities (e.g. Wigner) distributions. The regularizing role of such procedures based on Weyl-Heisenberg symmetry will be highlighted, with examples like motions with variable mass,  smoothing of classical singular potentials, quantum angle or phase.