A time-discretized version of the Calogero-Moser model

DOI10.1016/0375-9601(94)90566-5zbMath0961.37512arXivhep-th/9403052OpenAlexW3106330220MaRDI QIDQ1964976

Gen Di Pang, Frank W. Nijhoff

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9403052

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Hamilton's equations (70H05) Discrete version of topics in analysis (39A12)

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Integrable discretizations of the Bogoyavlensky lattices, The discrete Korteweg-de Vries equation, Integrable time-discretization of the Ruijsenaars-Schneider model, Integrable semi-discretisation of the Drinfel’d–Sokolov hierarchies, On a technique to identify solvable discrete-time many-body problems, On integrability of the deformed Ruijsenaars-Schneider system, The Lagrangian structure of Calogero's goldfish model, Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy, Quantum integrability: Lagrangian 1-form case, Self-dual form of Ruijsenaars-Schneider models and ILW equation with discrete Laplacian, Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy, Dynamical \(r\)-matrices for integrable maps, Integrable discretizations of the spin Ruijsenaars–Schneider models, On the Lagrangian 1-form structure of the hyperbolic Calogero-Moser system, Elliptic solutions to integrable nonlinear equations and many-body systems, A super-integrable discretization of the Calogero model, Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems

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