Fock space on C∞ and Bose-Fock space

Brett D. Wick; Shengkun Wu

doi:10.1016/j.jmaa.2021.125499

Fock space on C^∞ and Bose-Fock space

Brett D. Wick
, Shengkun Wu

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we introduce the Fock space on C^∞ and obtain an isomorphism between the Fock space on 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 [2]. As a physical application, we study the Gibbs state.

Original language	English
Article number	125499
Journal	Journal of Mathematical Analysis and Applications
Volume	505
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2021.125499
State	Published - Jan 15 2022

Keywords

Bose-Fock space
Fock space
Gibbs state

Access to Document

10.1016/j.jmaa.2021.125499

Cite this

@article{9688f1539fab49a9ad3ca2854e2b17b2,

title = "Fock space on C∞ and Bose-Fock space",

abstract = "In this paper, we introduce the Fock space on C∞ and obtain an isomorphism between the Fock space on 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 [2]. As a physical application, we study the Gibbs state.",

keywords = "Bose-Fock space, Fock space, Gibbs state",

author = "Wick, \{Brett D.\} and Shengkun Wu",

note = "Publisher Copyright: {\textcopyright} 2021 Elsevier Inc.",

year = "2022",

month = jan,

day = "15",

doi = "10.1016/j.jmaa.2021.125499",

language = "English",

volume = "505",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

number = "2",

}

TY - JOUR

T1 - Fock space on C∞ and Bose-Fock space

AU - Wick, Brett D.

AU - Wu, Shengkun

PY - 2022/1/15

Y1 - 2022/1/15

N2 - In this paper, we introduce the Fock space on C∞ and obtain an isomorphism between the Fock space on 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 [2]. As a physical application, we study the Gibbs state.

AB - In this paper, we introduce the Fock space on C∞ and obtain an isomorphism between the Fock space on 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 [2]. As a physical application, we study the Gibbs state.

KW - Bose-Fock space

KW - Fock space

KW - Gibbs state

UR - https://www.scopus.com/pages/publications/85111319464

U2 - 10.1016/j.jmaa.2021.125499

DO - 10.1016/j.jmaa.2021.125499

M3 - Article

AN - SCOPUS:85111319464

SN - 0022-247X

VL - 505

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 125499

ER -

Fock space on C^∞ and Bose-Fock space

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this