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On the Structure of Solutions of the Elliptic Calogero – Moser Many-particle Problem
Vladimir I. Inozemtsev Laboratory of Theoretical Physics, JINR, 141980 Dubna, Russia
Abstract:
I describe a finite-dimensional manifold which contains all meromorphic solutions to the many-particle elliptic Calogero – Moser problem at some fixed values of the coupling constant. These solutions can be selected by purely algebraic calculations as it was shown in the simplest case of three interacting particles.
Keywords:
integrability, Riemann theta functions, three-particle problem.
Received: 03.12.2018 Accepted: 15.02.2019
Citation:
Vladimir I. Inozemtsev, “On the Structure of Solutions of the Elliptic Calogero – Moser Many-particle Problem”, Regul. Chaotic Dyn., 24:2 (2019), 198–201
Linking options:
https://www.mathnet.ru/eng/rcd453 https://www.mathnet.ru/eng/rcd/v24/i2/p198
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Abstract page: | 121 | References: | 30 |
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