White noise distribution theory for the Fermion system

2005/03/22 by Yoshihito Shimada, Shimada, Yoshihito
Mathematics · Physics and Astronomy · #46F25 #Advanced Operator Algebra Research #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:46F25

paper · pdf · doi:10.48550/arxiv.math-ph/0503051

Some errors and typos are corrected

openalex publication_date 2005/03/22 · arxiv created 2005/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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