White noise distribution theory for the Fermion system

Yoshihito Shimada

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White noise distribution theory for the Fermion system

Yoshihito Shimada

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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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Yoshihito Shimada. 2005-12-09. White noise distribution theory for the Fermion system. https://arxiv.org/abs/math-ph/0503051

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