Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model
High Energy Physics - Theory
2009-10-28 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
A generalisation of the classical Calogero-Moser model obtained by coupling it to the Gaudin model is considered. The recently found classical dynamical r-matrix [E. Billey, J. Avan and O. Babelon, PAR LPTHE 93-55] for the Euler-Calogero-Moser model is used to separate variables for this generalised Calogero-Moser model in the case in which there are two Calogero-Moser particles. The model is then canonically quantised and the same classical r-matrix is employed to separate variables in the Schr\"odinger equations.
Keywords
Cite
@article{arxiv.hep-th/9401049,
title = {Dynamical r-matrices and Separation of Variables: The Generalised Calogero-Moser Model},
author = {Tomasz Brzezinski},
journal= {arXiv preprint arXiv:hep-th/9401049},
year = {2009}
}
Comments
12 pages