TITLE:
On the Solution to the Separated Equation in the 3-Particle Calogero-Moser Problem
AUTHORS:
Natalia Inozemtseva, Jaroslav Dittrich, Vladimir Inozemtsev
KEYWORDS:
Calogero-Moser Model, 3-Particle Problem, Separation of Variables
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.8 No.3,
March
15,
2018
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.