English

On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

In this paper, we consider Bogoliubov automorphisms of CAR algebra and we give implementers as continuous linear operators on the white noise (test or generalized) functionals for the Fermion system with the help of the Fock expansion.

Keywords

Cite

@article{arxiv.math-ph/0512065,
  title  = {On implementability of Bogoliubov automorphisms and the white noise distribution theory for the Fermion system},
  author = {Yoshihito Shimada},
  journal= {arXiv preprint arXiv:math-ph/0512065},
  year   = {2007}
}