English

Calogero model and sL(2,R) algebra

High Energy Physics - Theory 2014-11-18 v1 Exactly Solvable and Integrable Systems solv-int

Abstract

The Calogero model with external harmonic oscillator potential is discussed from sL(2,R) algebra point of view. Explicit formulae for functions with exponential time behaviour are given; in particular, the integrals of motion are constructed and their involutiveness demonstrated. The superintegrability of the model appears to be a simple consequence of the formalism.

Keywords

Cite

@article{arxiv.hep-th/9810255,
  title  = {Calogero model and sL(2,R) algebra},
  author = {C. Gonera and P. Kosinski},
  journal= {arXiv preprint arXiv:hep-th/9810255},
  year   = {2014}
}

Comments

10 pages, LaTeX file

R2 v1 2026-07-22T16:12:52.704Z