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On the Solution to the Separated Equation in the 3-Particle Calogero-Moser Problem

DOI: 10.4236/apm.2018.83014, PP. 266-271

Keywords: Calogero-Moser Model, 3-Particle Problem, Separation of Variables

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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 \"\". This solution is found for special values of coupling constants \"\". It can be used for solving three-particle Calogero-Moser problem under the appropriate boundary conditions.

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