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.
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
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