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

N. G. Inozemtseva; J. Dittrich; V. I. Inozemtsev

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

Mathematical Physics 2017-10-25 v1 Classical Analysis and ODEs math.MP

Authors: N. G. Inozemtseva , J. Dittrich , V. I. Inozemtsev

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.

Keywords

Calogero-Moser problem separated variable exact solution elliptic potential quantum three-particle problem coupling constants

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@article{arxiv.1710.08658,
  title  = {On the solution to the separated equation in the 3-particle Calogero-Moser problem},
  author = {N. G. Inozemtseva and J. Dittrich and V. I. Inozemtsev},
  journal= {arXiv preprint arXiv:1710.08658},
  year   = {2017}
}

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7 pages

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

Abstract

Keywords

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