Spin generalization of the Calogero-Moser system and the Matrix KP equation
I. Krichever, O. Babelon, E. Billey, M. Talon
TL;DR
This paper constructs complete solutions for the spin generalization of elliptic Calogero-Moser systems using Riemann theta-functions, extending to trigonometric and rational cases, thus broadening the understanding of integrable spin systems.
Contribution
It introduces explicit solutions for the spin elliptic Calogero-Moser system and extends the methodology to trigonometric and rational cases, providing a comprehensive framework.
Findings
Solutions expressed via Riemann theta-functions
Extension to trigonometric and rational cases
Advances understanding of integrable spin systems
Abstract
The complete solutions of the spin generalization of the elliptic Calogero Moser systems are constructed. They are expressed in terms of Riemann theta-functions. The analoguous constructions for the trigonometric and rational cases are also presented.
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Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Molecular spectroscopy and chirality