208 citations · 1.4k across the 68 of their papers we have counts for
6 papers · 1 filter
Integrable Time-Discretisation of the Ruijsenaars-Schneider Model
F. W. Nijhoff, O. Ragnisco, V. B. Kuznetsov
An exactly integrable symplectic correspondence is derived which in a continuum limit leads to the equations of motion of the relativistic generalization of the Calogero-Moser syst…
Discrete-time Calogero-Moser Model and Lattice KP Equations
F. W. Nijhoff, G. D. Pang
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 fr…
A time-discretized version of the Calogero-Moser model
Frank W. Nijhoff, Gen-Di Pang
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 fr…
On a q-Deformation of the Discrete Painlevé I Equation and q-Orthogonal Polynomials
F. W. Nijhoff
I present a -analog of the discrete Painlevé I equation, and a special realization of it in terms of -orthogonal polynomials.
Integrability and Fusion Algebra for Quantum Mappings
F. W. Nijhoff, H. W. Capel
We apply the fusion procedure to a quantum Yang-Baxter algebra associated with time-discrete integrable systems, notably integrable quantum mappings. We present a general construct…
Integrable Quantum Mappings and Quantization Aspects of Integrable Discrete-time Systems
F. W. Nijhoff, H. W. Capel
We study a quantum Yang-Baxter structure associated with non-ultralocal lattice models. We discuss the canonical structure of a class of integrable quantum mappings, i.e. canonical…