Infinite degrees of freedom Weyl representation: Characterization and application

DOI10.1142/S0219025718500029zbMath1388.60119OpenAlexW2790739365MaRDI QIDQ4638554

Abdessatar Barhoumi, Bilel Kacem Ben Ammou, Hafedh Rguigui

Publication date: 27 April 2018

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219025718500029

zbMATH Keywords

unitary representationWeyl commutation relationsquasi-invariant measureWeyl operatorsnuclear Lie groupQWN-derivativesnon-Fock representation

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) White noise theory (60H40) Spaces of linear operators; topological tensor products; approximation properties (46A32) Distributions on infinite-dimensional spaces (46F25)

Cites Work

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• Quantum stochastic integral representations of Fock space operators
• Cylindrical representations of some infinite dimensional nuclear Lie groups
• STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS
• Implementation problem for the canonical commutation relation in terms of quantum white noise derivatives

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