B\"acklund--Darboux transformations in Sato's Grassmannian
q-alg
2008-02-03 v2 量子代数
摘要
We define B\"acklund--Darboux transformations in Sato's Grassmannian. They can be regarded as Darboux transformations on maximal algebras of commuting ordinary differential operators. We describe the action of these transformations on related objects: wave functions, tau-functions and spectral algebras. This paper is the second of a series of papers (hep-th/9510211, q-alg/9602011, q-alg/9602012) on the bispectral problem.
引用
@article{arxiv.q-alg/9602010,
title = {B\"acklund--Darboux transformations in Sato's Grassmannian},
author = {B. Bakalov and E. Horozov and M. Yakimov},
journal= {arXiv preprint arXiv:q-alg/9602010},
year = {2008}
}
备注
13 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no figures