Functional Representations for Fock Superalgebras
- The Fock space of bosons and fermions and its underlying superalgebra are represented by algebras of functions on a superspace. We define Gaussian integration on infinite dimensional superspaces, and construct superanalogs of the classical function spaces with a reproducing kernel - including the Bargmann-Fock representation - and of the Wiener-Segal representation. The latter representation requires the investigation of Wick ordering on Z 2 -graded algebras. As application we derive a Mehler formula for the Ornstein-Uhlenbeck semigroup on the Fock space.
Author: | Joachim Kupsch, Oleg G. Smolyanov |
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URN: | urn:nbn:de:hbz:386-kluedo-11066 |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 1997 |
Year of first Publication: | 1997 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2000/09/25 |
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 |