1305.4759 (Martin Hallnäs et al.)

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

Martin Hallnäs, Simon Ruijsenaars

We obtain symmetric joint eigenfunctions for the commuting PDOs 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 A_{N-1}.

View original: http://arxiv.org/abs/1305.4759