A probabilistic representation of the ground state expectation of fractional powers of the boson number operator

Fumio Hiroshima, József Lorinczi, Toshimitsu Takaesu

研究成果: ジャーナルへの寄稿記事

2 引用 (Scopus)

抄録

We give a formula in terms of a joint Gibbs measure on Brownian paths and the measure of a random-time Poisson process of the ground state expectations of fractional (in fact, any real) powers of the boson number operator in the Nelson model. We use this representation to obtain tight two-sided bounds. As applications, we discuss the polaron and translation invariant Nelson models.

元の言語英語
ページ(範囲)437-447
ページ数11
ジャーナルJournal of Mathematical Analysis and Applications
395
発行部数2
DOI
出版物ステータス出版済み - 11 15 2012

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Bosons
Fractional Powers
Ground state
Ground State
Polaron
Gibbs Measure
Operator
Poisson process
Fractional
Path
Invariant
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

これを引用

A probabilistic representation of the ground state expectation of fractional powers of the boson number operator. / Hiroshima, Fumio; Lorinczi, József; Takaesu, Toshimitsu.

:: Journal of Mathematical Analysis and Applications, 巻 395, 番号 2, 15.11.2012, p. 437-447.

研究成果: ジャーナルへの寄稿記事

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