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

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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 - 1995

All Science Journal Classification (ASJC) codes

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

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