Calogero–Moser systems with periodic and doubly periodic interaction potentials and loop algebras

DOI10.1063/1.1401136zbMath1012.81021OpenAlexW2039493700MaRDI QIDQ2774697

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Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1401136

zbMATH Keywords

finite difference equation\(1/r^2\) potentialdoubly definite replicationspace of simply periodic analytic function

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) (n)-body problems (70F10)

Cites Work

• Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
• Meromorphic solutions of nonlinear partial differential equations and many-particle completely integrable systems
• Hamiltonian group actions and dynamical systems of calogero type

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