Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series APC-TH
Subjects gr-qc
Date Tuesday 31 May 2022
Time 13:30
Institute APC
Seminar Room seminar room 483A, contact roperpol@apc.in2p3.fr for Zoom meeting details
Speaker's Last Name Gazeau
Speaker's First Name Jean Pierre
Speaker's Email Address
Speaker's Institution APC
Title Quantum models à la Gabor for space-time metric
Abstract As an extension of Gabor signal processing, the covariant Weyl-Heisenberg integral quantization is implemented to transform functions on the eight-dimensional phase space (x,k) into Hilbertian operators. The x=(x^{\mu}) are space-time variables and the k=(k^{\mu}) are their conjugate wave vector-frequency variables. The procedure is first applied to the variables (x,k) and produces canonically conjugate essentially self-adjoint operators. It is next applied to the metric field g_{\mu\nu}(x) of general relativity and yields regularised semi-classical phase space portraits of it. The latter give rise to modified tensor energy density. Examples are given with the uniformly accelerated reference system and the Schwarzschild metric. Interesting probabilistic aspects are discussed.
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