On the solution to the separated equation in the 3-particle Calogero-Moser problem
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)(q). This solution is found for special values of coupling constants g∈ Z, \, g>1. It can be used for solving three-paricle CM problem under appropriate boundary conditions.
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