Fock space on $\mathbb{C}^\infty$ and Bose-Fock space
Functional Analysis
2020-09-15 v2
Abstract
In this paper, we introduce the Fock space over and obtain an isomorphism between the Fock space over 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.
Cite
@article{arxiv.2009.04062,
title = {Fock space on $\mathbb{C}^\infty$ and Bose-Fock space},
author = {Brett D. Wick and Shengkun Wu},
journal= {arXiv preprint arXiv:2009.04062},
year = {2020}
}