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

K. Hikami

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 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 journal › Article

Hikami, K 1995, 'Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra', Journal of Physics A: General Physics, vol. 28, no. 4, 004, pp. L131-L136. https://doi.org/10.1088/0305-4470/28/4/004
Hikami K. Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra. Journal of Physics A: General Physics. 1995 Dec 1;28(4):L131-L136. 004. https://doi.org/10.1088/0305-4470/28/4/004
Hikami, K. / Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra. In: Journal of Physics A: General Physics. 1995 ; Vol. 28, No. 4. pp. L131-L136.
@article{f9f76fb76ca24fe6bb92213c48028c8e,
title = "Symmetry of the Calogero model confined in the harmonic potential-Yangian and W algebra",
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.",
author = "K. Hikami",
year = "1995",
month = "12",
day = "1",
doi = "10.1088/0305-4470/28/4/004",
language = "English",
volume = "28",
pages = "L131--L136",
journal = "Journal of Physics A: General Physics",
issn = "0305-4470",
number = "4",

}

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.

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

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 -

Access to Document