Canonical transformations for fermions in superanalysis
Mathematical Physics
2014-07-09 v2 math.MP
Abstract
Canonical transformations (Bogoliubov transformations) for fermions with an infinite number of degrees of freedom are studied within a calculus of superanalysis. A continuous representation of the orthogonal group is constructed on a Grassmann module extension of the Fock space. The pull-back of these operators to the Fock space yields a unitary ray representation of the group that implements the Bogoliubov transformations.
Keywords
Cite
@article{arxiv.1304.2167,
title = {Canonical transformations for fermions in superanalysis},
author = {Joachim Kupsch},
journal= {arXiv preprint arXiv:1304.2167},
year = {2014}
}
Comments
26 pages, revised version