### Abstract

The rational and hyperbolic Ruijsenaars-Schneider models and their non-relativistic limits are maximally superintegrable since they admit action variables with globally well-defined canonical conjugates. In the case of the rational Ruijsenaars-Schneider model we present an alternative proof of the superintegrability by explicitly exhibiting extra conserved quantities relying on a generalization of the construction of Wojciechowski for the rational Calogero model.

Original language | English |
---|---|

Pages (from-to) | 1913-1916 |

Number of pages | 4 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 374 |

Issue number | 19-20 |

DOIs | |

Publication status | Published - Apr 19 2010 |

### Keywords

- Ruijsenaars-Schneider model
- Superintegrability

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**On the superintegrability of the rational Ruijsenaars-Schneider model.** / Ayadi, V.; Fehér, L.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 374, no. 19-20, pp. 1913-1916. https://doi.org/10.1016/j.physleta.2010.02.065

}

TY - JOUR

T1 - On the superintegrability of the rational Ruijsenaars-Schneider model

AU - Ayadi, V.

AU - Fehér, L.

PY - 2010/4/19

Y1 - 2010/4/19

N2 - The rational and hyperbolic Ruijsenaars-Schneider models and their non-relativistic limits are maximally superintegrable since they admit action variables with globally well-defined canonical conjugates. In the case of the rational Ruijsenaars-Schneider model we present an alternative proof of the superintegrability by explicitly exhibiting extra conserved quantities relying on a generalization of the construction of Wojciechowski for the rational Calogero model.

AB - The rational and hyperbolic Ruijsenaars-Schneider models and their non-relativistic limits are maximally superintegrable since they admit action variables with globally well-defined canonical conjugates. In the case of the rational Ruijsenaars-Schneider model we present an alternative proof of the superintegrability by explicitly exhibiting extra conserved quantities relying on a generalization of the construction of Wojciechowski for the rational Calogero model.

KW - Ruijsenaars-Schneider model

KW - Superintegrability

UR - http://www.scopus.com/inward/record.url?scp=77950295844&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77950295844&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2010.02.065

DO - 10.1016/j.physleta.2010.02.065

M3 - Article

AN - SCOPUS:77950295844

VL - 374

SP - 1913

EP - 1916

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 - 19-20

ER -