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Cambridge University Press eBooks

Symplectic invariance of CCR in finite-dimensions

Jan Dereziński, Christian Gérard

Published Mar 6, 2013• 0 citations
Publisher
DOI
10.1017/cbo9780511894541.011

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Orthogonal invariance of the CAR on Fock spacesIn this chapter we continue our study of the orthogonal invariance of the CAR.This invariance was already investigated in Chap.14.However, whereas in Chap.14 we used the representation-independent framework of CAR algebras, in this chapter we will consider Fock CAR representations in any dimensions.Therefore, to some extent, this chapter can be viewed as a continuation of Chap.13 about Fock CAR representations.Note also that this chapter is parallel to Chap.11 about the symplectic invariance of the CCR on a Fock space.

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Orthogonal invariance of the CAR on Fock spacesIn this chapter we continue our study of the orthogonal invariance of the CAR.This invariance was already investigated in Chap.14.However, whereas in Chap.14 we used the representation-independent framework of CAR algebras, in this chapter we will consider Fock CAR representations in any dimensions.Therefore, to some extent, this chapter can be viewed as a continuation of Chap.13 about Fock CAR representations.Note also that this chapter is parallel to Chap.11 about the symplectic invariance of the CCR on a Fock space.