3 citations · 3 across the 2 of their papers we have counts for
3 papers
nlin.SI2006
An ultradiscrete matrix version of the fourth Painleve equation
Chris M. Field, Chris M. Ormerod
We establish a matrix generalization of the ultradiscrete fourth Painlevé equation (ud-PIV). Well-defined multicomponent systems that permit ultradiscretization are obtained using…
nlin.SI2006★ 3 cited
Time-sliced path integrals with stationary states
Chris M. Field, Frank W. Nijhoff
The path integral approach to the quantization of one degree-of-freedom Newtonian particles is considered within the discrete time-slicing approach, as in Feynman's original develo…
nlin.SI2004
Quantum discrete Dubrovin equations
Chris M. Field, Frank W. Nijhoff
The discrete equations of motion for the quantum mappings of KdV type are given in terms of the Sklyanin variables (which are also known as quantum separated variables). Both tempo…