Quantum discrete Dubrovin equations
Exactly Solvable and Integrable Systems
2009-11-10 v1
Abstract
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 temporal (discrete-time) evolutions and spatial (along the lattice at a constant time-level) evolutions are considered. In the classical limit, the temporal equations reduce to the (classical) discrete Dubrovin equations as given in a previous publication. The reconstruction of the original dynamical variables in terms of the Sklyanin variables is also achieved.
Cite
@article{arxiv.nlin/0406040,
title = {Quantum discrete Dubrovin equations},
author = {Chris M. Field and Frank W. Nijhoff},
journal= {arXiv preprint arXiv:nlin/0406040},
year = {2009}
}
Comments
25 pages