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.
Author: | Joachim Kupsch, Subhashish Banerjee |
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URN: | urn:nbn:de:hbz:386-kluedo-13658 |
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): |