%0 Journal Article
%T On the Solution to the Separated Equation in the 3-Particle Calogero-Moser Problem
%A Natalia Inozemtseva
%A Jaroslav Dittrich
%A Vladimir Inozemtsev
%J Advances in Pure Mathematics
%P 266-271
%@ 2160-0384
%D 2018
%I Scientific Research Publishing
%R 10.4236/apm.2018.83014
%X 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 </span><img src=\"Edit_3897180c-b7c9-4dae-b738-d1d2fe66c930.bmp\" alt=\"\" /></span><span style=\"font-size:10pt;font-family:&quot;\"></span><span style=\"font-family:Verdana;\">. </span><span style=\"font-size:10pt;font-family:&quot;\"><span style=\"font-family:Verdana;font-size:12px;\">This solution is found
for special values of coupling constants </span><img src=\"Edit_4c750ace-2179-4cb4-afc0-74b5d7f19dc6.bmp\" alt=\"\" /></span><span style=\"font-size:10pt;font-family:&quot;\"></span><span style=\"font-family:Verdana;\">. It can be used for solving three-particle
Calogero-Moser problem under the appropriate boundary conditions.
%K Calogero-Moser Model
%K 3-Particle Problem
%K Separation of Variables
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=83038