Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero

V. Karimipour

Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero

High Energy Physics - Theory 2008-02-03 v1 Exactly Solvable and Integrable Systems solv-int

Authors: V. Karimipour

Abstract

We show that the integrability of the dynamical system recently proposed by Calogero and characterized by the Hamiltonian $H = \sum_{j,k}^{N} p_j p_k \{\lambda + \mu cos [ \nu ( q_j - q_k)] \}$ is due to a simple algebraic structure . It is shown that the integrals of motion are related to the Casimiar invariants of of the $su(1,1)$ algebra. Our method shows clearly how these types of systems can be generalized .

Keywords

calogero system integrability hamiltonian su(1,1) algebra casimir invariant algebraic structure

Cite

@article{arxiv.hep-th/9602161,
  title  = {Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero},
  author = {V. Karimipour},
  journal= {arXiv preprint arXiv:hep-th/9602161},
  year   = {2008}
}

Comments

12 pages , Latex , No Figures , IPM preprint 96

Algebraic and Geometric Structure of the Integrable Models recently Proposed by Calogero

Abstract

Keywords

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