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nlin.SI2013
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 sc…
nlin.SI2012
Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. I. First steps
Martin Hallnäs, 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 hyp…
nlin.SI2012★ 28 cited
Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems
Martin Hallnäs, Simon Ruijsenaars
We obtain kernel functions associated with the quantum relativistic Toda systems, both for the periodic version and for the nonperiodic version with its dual. This involves taking…