Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms

Details Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms

1994-10-04

arxiv.org/abs/hep-th/9410017v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex, DESY 94-173

Scientific paper

In a Fock representation, a non-surjective Bogoliubov transformation of CAR
leads to a reducible representation. For the case that the corresponding
Bogoliubov operator has finite corank, the decomposition into irreducible
subrepresentations is clarified. In particular, it turns out that the number of
appearing subrepresentations is completely determined by the corank.

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