Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms
High Energy Physics - Theory
2016-08-14 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9410017,
title = {Decomposition of Representations of CAR Induced by Bogoliubov Endomorphisms},
author = {Jens Böckenhauer},
journal= {arXiv preprint arXiv:hep-th/9410017},
year = {2016}
}
Comments
14 pages, Latex, DESY 94-173