A time-discretized version of the Calogero-Moser model
arXiv:hep-th/9403052 · doi:10.1016/0375-9601(94)90566-5
Abstract
We 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 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. The classical -matrix is the same as for the continuum model.
12 pages. LaTeX, Stylefile `equations.sty' appended at the end
References in corpus (3)
Cited by in corpus (19)
- Integrable Time-Discretisation of the Ruijsenaars-Schneider Model
- A discrete time relativistic Toda lattice
- Discrete-time Calogero-Moser system and Lagrangian 1-form structure
- Discrete time Bogoyavlensky lattices
- Elliptic solutions to integrable nonlinear equations and many-body systems
- Dynamical R-Matrices for Integrable Maps
- Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems
- Discrete-Time Goldfishing
- A discrete time peakons lattice
- Integrable discretizations of the spin Ruijsenaars-Schneider models
- 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
- A Super-Integrable Discretization of the Calogero Model
- Integrable semi-discretisation of the Drinfel'd--Sokolov hierarchies
- On the Lagrangian 1-Form Structure of the Hyperbolic Calogero-Moser System
- Lagrangian multiform structure of discrete and semi-discrete KP systems
- Quantum integrability: Lagrangian 1-form case
- Additional Constants of Motion for a Discretization of the Calogero--Moser Model
- Discrete-time maximally superintegrable systems and deformed symmetry algebras: the Calogero-Moser case