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A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians

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posted on 17.03.2015 by Martin Hallnas, Simon Ruijsenaars
We obtain symmetric joint eigenfunctions for the commuting partial differential operators 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 AN−1.

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School

  • Science

Department

  • Mathematical Sciences

Published in

International Mathematics Research Notices

Citation

HALLNAS, M. and RUIJSENAARS, S., 2015. A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians. International Mathematics Research Notices, 20, pp.10278-10313.

Publisher

Oxford University Press / © The authors

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2015

Notes

This is a pre-copyedited, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record HALLNAS, M. and RUIJSENAARS, S., 2015. A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians. International Mathematics Research Notices, 20, pp.10278-10313 is available online at: http://dx.doi.org/10.1093/imrn/rnu267.

ISSN

1687-3017

Language

en

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