Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The su( nu ) Calogero model confined in the harmonic potential is considered. We show that the model has Yangian symmetry Y(su( nu )). Unifying with the creation-annihilation operators which constitute the su( nu ) loop algebra, we reveal the algebraic structure of this system. The relation with the energy spectrum is also discussed.

Original languageEnglish
Article number004
Pages (from-to)L131-L136
JournalJournal of Physics A: General Physics
Volume28
Issue number4
DOIs
Publication statusPublished - Dec 1 1995

Fingerprint

W-algebras
Harmonic Potential
Algebra
algebra
harmonics
Symmetry
Loop Algebra
symmetry
Energy Spectrum
Algebraic Structure
Annihilation
energy spectra
operators
Operator
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra. / Hikami, K.

In: Journal of Physics A: General Physics, Vol. 28, No. 4, 004, 01.12.1995, p. L131-L136.

Research output: Contribution to journalArticle

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