A random point field related to Bose–Einstein condensation

• Tamura, Hiroshi

• Ito, Keiichi R.

Abstract

金沢大学大学院自然科学研究科機能開発システム

金沢大学工学部

The random point fields which describe the position distributions of the systems of ideal boson gas in states of Bose–Einstein condensations are obtained through the thermodynamic limits. The resulting point fields are given by convolutions of two kinds of independent point fields: the so-called boson processes whose generating functionals are represented by the inverses of the Fredholm determinants for operators related to the heat operator and the point fields whose generating functionals are represented by the resolvents of the operators. The construction of the latter point fields in an abstract formulation is also given.

Journal

• Journal of Functional Analysis

  Journal of Functional Analysis 243 (1), 207-231, 2007-02-01

  Elsevier

Keywords

• Random point field
• Classical statistical mechanics
• Continuum system
• Boson process
• Bose–Einstein condensation

Details

• CRID: 1050001335933847680
• NII Article ID: 120000810090
• ISSN: 00221236
• Web Site: http://hdl.handle.net/2297/3993
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles