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- Title
A Recursive Construction of Joint Eigenfunctions for the Hyperbolic Nonrelativistic Calogero-Moser Hamiltonians.
- Authors
Hallnäs, Martin; Ruijsenaars, Simon
- 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.
- Subjects
EIGENFUNCTIONS; HYPERBOLIC functions; HAMILTON'S principle function; PARTIAL differential equations; HYPERGEOMETRIC functions
- Publication
IMRN: International Mathematics Research Notices, 2015, Vol 2015, Issue 20, p10278
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnu267