Statistical Mechanical Interpretation of the Inverse Scattering Method

Level Dynamics for Exclusion Statistics

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Considered is the relationship between the level dynamics and the integrable differential-difference equation. By applying the inverse scattering method to the Bogoyavlensky lattice, which is an extension of the Volterra model, the role of the exclusion statistics is clarified. Each dynamical variable is identified with an energy level. Briefly discussed is a generalization of the Yangian symmetric system, and the “Gentile” statistics is revealed.

Original languageEnglish
Pages (from-to)4374-4377
Number of pages4
JournalPhysical Review Letters
Volume80
Issue number20
DOIs
Publication statusPublished - Jan 1 1998
Externally publishedYes

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inverse scattering
exclusion
statistics
difference equations
energy levels

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Statistical Mechanical Interpretation of the Inverse Scattering Method : Level Dynamics for Exclusion Statistics. / Hikami, Kazuhiro.

In: Physical Review Letters, Vol. 80, No. 20, 01.01.1998, p. 4374-4377.

Research output: Contribution to journalArticle

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