File(s) not publicly available

Reason: This item is currently closed access.

Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type: I. First steps.

journal contribution
posted on 21.07.2014 by Martin Hallnas, Simon Ruijsenaars
We present and develop a recursion scheme to construct joint eigenfunctions for the commuting analytic difference operators associated with the integrable N-particle systems of hyperbolic relativistic Calogero-Moser type. The scheme is based on kernel identities we obtained in previous work. In this first paper of a series we present the formal features of the scheme, show explicitly its arbitrary-N viability for the `free' cases, and supply the analytic tools to prove the joint eigenfunction properties in suitable holomorphy domains.

History

School

  • Science

Department

  • Mathematical Sciences

Citation

HALLNAS, M. and RUIJSENAARS, S., 2014. Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type: I. First steps. International Mathematics Research Notices, 16, pp. 4400-4456.

Publisher

Oxford University Press / © The authors

Version

AM (Accepted Manuscript)

Publication date

2014

Notes

This article is closed access, it was published in the journal International Mathematics Research Notices [Oxford University Press / © The authors]. The definitive version is available at: http://dx.doi.org/10.1093/imrn/rnt076

ISSN

1073-7928

Language

en

Exports

Logo branding

Keyword(s)

Exports