中文

On a c-number quantum $\tau$-function

高能物理 - 理论 2011-04-20 v2 可精确求解与可积系统 solv-int

摘要

We first review the properties of the conventional τ\tau-functions of the KP and Toda-lattice hierarchies. A straightforward generalization is then discussed. It corresponds to passing from differential to finite-difference equations; it does not involve however the concept of operator-valued τ\tau-function nor the one associated with non-Cartanian (level k1k\ne1) algebras. The present study could be useful to understand better qq-free fields and their relation to ordinary free fields.

关键词

引用

@article{arxiv.hep-th/9312213,
  title  = {On a c-number quantum $\tau$-function},
  author = {A. Mironov and A. Morozov and L. Vinet},
  journal= {arXiv preprint arXiv:hep-th/9312213},
  year   = {2011}
}

备注

12 pages, ITEP M-8/93, FIAN/TD-22/93, CRM-1934 (minor changes)