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arXiv · 1710.08658

On the solution to the separated equation in the 3-particle Calogero-Moser problem

N. G. Inozemtseva·J. Dittrich·V. I. Inozemtsev
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Abstract

We propose the exact solution of the equation in separated variable which appears in the process of constructing solutions to the quantum Calogero-Moser three-particle problem with elliptic two-particle potential $g(g-1)\wp(q)$. This solution is found for special values of coupling constants $g\in {\mathbb Z}, \, g>1$. It can be used for solving three-paricle CM problem under appropriate boundary conditions.

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N. G. Inozemtseva, J. Dittrich, V. I. Inozemtsev. 2017-10-24. On the solution to the separated equation in the 3-particle Calogero-Moser problem. https://arxiv.org/abs/1710.08658

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