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Title: A recursive construction of joint eigenfunctions for the hyperbolic nonrelativistic Calogero-Moser Hamiltonians
Authors: Hallnas, Martin
Ruijsenaars, Simon
Issue Date: 2015
Publisher: Oxford University Press / © The authors
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.
Abstract: 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.
Description: This article is closed access until January 2018, it is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive version is available online at: http://dx.doi.org/10.1093/imrn/rnu267
Version: Accepted for publication
DOI: 10.1093/imrn/rnu267
URI: https://dspace.lboro.ac.uk/2134/17027
Publisher Link: http://dx.doi.org/10.1093/imrn/rnu267
ISSN: 1687-3017
Appears in Collections:Closed Access (Maths)

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