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On ground states for CCR algebras and Bogoliubov automorphism groups

Published online by Cambridge University Press:  24 October 2008

Hidekazu Ogi
Hidekazu Ogi
Affiliation:
Department of Applied Mathematics, Fukuoka University, Fukuoka, 814–01, Japan
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Abstract

Let ACCR(L) be the CCR algebra over a Hubert space L, and let {σt}t∈R be a Bogoliubov automorphism group of ACCR(L) induced by a strongly continuous one-parameter unitary group on L. In this paper, we introduce some continuity for linear functionals on ACCR(L) and, under this continuity, we study existence, uniqueness, and non-uniqueness of ground states for {ACCR(L), {σt}t∈R}.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 119 , Issue 3 , April 1996 , pp. 419 - 424
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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