On explicit solutions for completely integrable classical Calogero-Moser systems in external fields

2002/01/04 by D. V. Meshcheryakov, Meshcheryakov, D. V., T. D. Meshcheryakova +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0201021

arxiv created 2002/01/04 · arxiv updated 2009/11/30

Abstract

Explicit solutions for one completely-integrable system of Calogero-Moser type in external fields are found in case of three and four interacting particles. Relation between coupling constant, initial values of coordinates and time of falling into the singularity of potential is derived.

Related

• Calogero-Moser-Sutherland systems
• On the solution to the separated equation in the 3-particle Calogero-Moser problem
• An Explicit Characterization of Calogero--Moser Systems
• One-parameter discrete-time Calogero-Moser system
• Correspondence between Calogero-Moser systems and integrable SL(N,ℂ) Euler-Arnold tops