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

K. Hikami

doi:10.1088/0305-4470/28/4/004

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

K. Hikami

Department of Mathematics

Research output: Contribution to journal › Article

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 language	English
Article number	004
Pages (from-to)	L131-L136
Journal	Journal of Physics A: General Physics
Volume	28
Issue number	4
DOIs	https://doi.org/10.1088/0305-4470/28/4/004
Publication status	Published - 1995

All Science Journal Classification (ASJC) codes

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

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10.1088/0305-4470/28/4/004

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Hikami, K. (1995). Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra. Journal of Physics A: General Physics, 28(4), L131-L136. [004]. https://doi.org/10.1088/0305-4470/28/4/004

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