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

APM > Vol.8 No.3, March 2018

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

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Download as PDF (Size: 264KB) PP. 266-271

DOI: 10.4236/apm.2018.83014 719 Downloads 1,264 Views

Author(s)

Natalia Inozemtseva¹, Jaroslav Dittrich², Vladimir Inozemtsev³

Affiliation(s)

¹University “DUBNA”, Dubna, Russia.
²Nuclear Physics Institute CAS, Rez, Czech Republic.
³BLTP JINR, Dubna, Russia.

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.

KEYWORDS

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

Share and Cite:

Inozemtseva, N. , Dittrich, J. and Inozemtsev, V. (2018) On the Solution to the Separated Equation in the 3-Particle Calogero-Moser Problem. Advances in Pure Mathematics, 8, 266-271. doi: 10.4236/apm.2018.83014.

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