Quantum discrete Dubrovin equations
可精确求解与可积系统
2009-11-10 v1
摘要
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.
引用
@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}
}
备注
25 pages