2020•arXiv (Cornell University)Open access
Fock space on $\mathbb{C}^\infty$ and Bose-Fock space
Brett D. Wick, Shengkun Wu
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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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