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Fock space on ℂ^∞ and Bose-Fock space

2020/09/09 by Brett D. Wick, Wick, Brett D., Shengkun Wu +1
Mathematics · #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2009.04062

openalex publication_date 2020/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the Fock space over ℂ and obtain an isomorphism between the Fock space over ℂ and Bose-Fock space. Based on this isomorphism, we obtain representations of some operators on the Bose-Fock space and answer a question in \citecoburn1985. As a physical application, we study the Gibbs state.

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