The Euler-Calogero-Moser model in an external potential - Yangian and loop algebra

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We consider the symmetry Y(sl(n)) of the classical Euler-Calogero-Moser model in an external harmonic potential. The conserved quantities satisfy the Yangian relation, and creation-annihilation operators constitute the loop algebra. By unifying Yangian and loop algebras we reveal the algebraic structure of this model.

Original languageEnglish
Pages (from-to)393-400
Number of pages8
JournalPhysics Letters A
Volume197
Issue number5-6
DOIs
Publication statusPublished - Feb 6 1995
Externally publishedYes

Fingerprint

algebra
harmonics
operators
symmetry

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

The Euler-Calogero-Moser model in an external potential - Yangian and loop algebra. / Hikami, Kazuhiro.

In: Physics Letters A, Vol. 197, No. 5-6, 06.02.1995, p. 393-400.

Research output: Contribution to journalArticle

@article{0c5cddcea5134ad5b4d3ca928dea4e5c,
title = "The Euler-Calogero-Moser model in an external potential - Yangian and loop algebra",
abstract = "We consider the symmetry Y(sl(n)) of the classical Euler-Calogero-Moser model in an external harmonic potential. The conserved quantities satisfy the Yangian relation, and creation-annihilation operators constitute the loop algebra. By unifying Yangian and loop algebras we reveal the algebraic structure of this model.",
author = "Kazuhiro Hikami",
year = "1995",
month = "2",
day = "6",
doi = "10.1016/0375-9601(94)01013-K",
language = "English",
volume = "197",
pages = "393--400",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "5-6",

}

TY - JOUR

T1 - The Euler-Calogero-Moser model in an external potential - Yangian and loop algebra

AU - Hikami, Kazuhiro

PY - 1995/2/6

Y1 - 1995/2/6

N2 - We consider the symmetry Y(sl(n)) of the classical Euler-Calogero-Moser model in an external harmonic potential. The conserved quantities satisfy the Yangian relation, and creation-annihilation operators constitute the loop algebra. By unifying Yangian and loop algebras we reveal the algebraic structure of this model.

AB - We consider the symmetry Y(sl(n)) of the classical Euler-Calogero-Moser model in an external harmonic potential. The conserved quantities satisfy the Yangian relation, and creation-annihilation operators constitute the loop algebra. By unifying Yangian and loop algebras we reveal the algebraic structure of this model.

UR - http://www.scopus.com/inward/record.url?scp=0043067457&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0043067457&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(94)01013-K

DO - 10.1016/0375-9601(94)01013-K

M3 - Article

AN - SCOPUS:0043067457

VL - 197

SP - 393

EP - 400

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 5-6

ER -