### 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 |
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Article number | 004 |

Pages (from-to) | L131-L136 |

Journal | Journal of Physics A: General Physics |

Volume | 28 |

Issue number | 4 |

DOIs | |

Publication status | Published - Dec 1 1995 |

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### 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.

Research output: Contribution to journal › Article

*Journal of Physics A: General Physics*, vol. 28, no. 4, 004, pp. L131-L136. https://doi.org/10.1088/0305-4470/28/4/004

}

TY - JOUR

T1 - Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra

AU - Hikami, K.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - 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.

AB - 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.

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UR - http://www.scopus.com/inward/citedby.url?scp=21844525401&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/28/4/004

DO - 10.1088/0305-4470/28/4/004

M3 - Article

AN - SCOPUS:21844525401

VL - 28

SP - L131-L136

JO - Journal of Physics A: General Physics

JF - Journal of Physics A: General Physics

SN - 0305-4470

IS - 4

M1 - 004

ER -