Fock space on $\mathbb{C}^\infty$ and Bose-Fock space

Brett D. Wick; Shengkun Wu

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Fock space on $\mathbb{C}^\infty$ and Bose-Fock space

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arxiv 2009.04062 v2 pith:T5EEIJBH submitted 2020-09-09 math.FA

Brett D. Wick , Shengkun Wu This is my paper · ORCID

classification math.FA

keywords spacebose-fockfockinftymathbbisomorphismobtainanswer

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abstract

In this paper, we introduce the Fock space over $\mathbb{C}^{\infty}$ and obtain an isomorphism between the Fock space over $\mathbb{C}^{\infty}$ and Bose-Fock space. Based on this isomorphism, we obtain representations of some operators on the Bose-Fock space and answer a question in \cite{coburn1985}. As a physical application, we study the Gibbs state.

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