Wednesday, May 22, 2013

1305.4759 (Martin Hallnäs et al.)

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

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}.
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