A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians
Exactly Solvable and Integrable Systems
2014-10-03 v2 Mathematical Physics
Classical Analysis and ODEs
math.MP
Quantum Algebra
Abstract
We obtain symmetric joint eigenfunctions for the commuting PDOs associated to the hyperbolic Calogero-Moser N-particle system. The eigenfunctions are constructed via a recursion scheme, which leads to representations by multidimensional integrals whose integrands are elementary functions. We also tie in these eigenfunctions with the Heckman-Opdam hypergeometric function for the root system A_{N-1}.
Keywords
Cite
@article{arxiv.1305.4759,
title = {A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians},
author = {Martin Hallnäs and Simon Ruijsenaars},
journal= {arXiv preprint arXiv:1305.4759},
year = {2014}
}
Comments
29 pages. In v2 we have added three references and made some minor revisions and corrections