Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms

1994/10/04 by Jens Böckenhauer, Böckenhauer, Jens
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9410017

14 pages, Latex, DESY 94-173

arxiv created 1994/10/04 · arxiv updated 2016/08/14

Abstract

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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