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

• 作者: Jaroslav Dittrich Natalia Inozemtseva Vladimir Inozemtsev
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Calogero-Moser Model 3-Particle PROBLEM SEPARATION of VARIABLES
• 年，卷（期）: 2018,（3）
• 页码范围: 266-271
• 页数: 6页
• 分类号: O1

摘要

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.