Discrete-time Calogero-Moser Model and Lattice KP Equations

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dc.creatorNijhoff, F. W.
dc.creatorPang, G. D.
dc.date1994-09-13
dc.date.accessioned2026-07-07T09:14:24Z
dc.date.available2026-07-07T09:14:24Z
dc.descriptionWe introduce an integrable time-discretized version of the classical Calogero-Moser model, which goes to the original model in a continuum limit. This discrete model is obtained from pole solutions of a semi-discretized version of the Kadomtsev-Petviashvili equation, leading to a finite-dimensional symplectic mapping. Lax pair, symplectic structure and sufficient set of invariants of the discrete Calogero-Moser model are constructed for both the rational and elliptic cases. The classical $r$-matrix is the same as for the continuum model. An exact solution of the initial value problem is given for the rational discrete-time Calogero-Moser model. The pole-expansion and elliptic solutions of the fully discretized Kadomtsev-Petviashvili equation are also discussed.
dc.description12 pages, uuencoded file, information given at the beginning. (It is for CRM Proceeding of the Intl. Workshop on "Symmetries and Integrability of Difference Equations", eds. D.Levi, L.Vinet and P. Winternitz, to appear in the CRM Proceedings and Lecture Notes Series)
dc.identifierhttps://arxiv.org/abs/hep-th/9409071
dc.identifierhttp://arxiv.org/abs/hep-th/9409071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152658
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.subjectExactly Solvable and Integrable Systems
dc.titleDiscrete-time Calogero-Moser Model and Lattice KP Equations
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