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Fock space on $\mathbb{C}^\infty$ and Bose-Fock space
Published 9 Sep 2020 in math.FA | (2009.04062v2)
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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