Ultracoherence and Canonical Transformations

  • The symplectic group of homogeneous canonical transformations is represented in the bosonic Fock space by the action of the group on the ultracoherent vectors, which are generalizations of the coherent states. The intertwining relations between this representation and the algebra of Weyl operators are derived. They confirm the identification of this representation with Bogoliubov transformations.

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Author:Joachim Kupsch, Subhashish Banerjee
Document Type:Working Paper
Language of publication:English
Year of Completion:2005
Year of Publication:2005
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2005/02/02
Tag:Mathematical Physics; Representation Theory
Faculties / Organisational entities:Kaiserslautern - Fachbereich Physik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 530 Physik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011