English

White noise distribution theory for the Fermion system

Mathematical Physics 2007-05-23 v3 math.MP

Abstract

In this paper, we give the white noise calculus for the Fermion system and prove the Fock expansion. Each continuous linear operator on Fermionic white noise functionals is uniquely represented by the series of integral kernel operators. This series is called the Fock expansion.

Keywords

Cite

@article{arxiv.math-ph/0503051,
  title  = {White noise distribution theory for the Fermion system},
  author = {Yoshihito Shimada},
  journal= {arXiv preprint arXiv:math-ph/0503051},
  year   = {2007}
}

Comments

Some errors and typos are corrected

R2 v1 2026-07-22T16:25:48.510Z