"Quantizations" of isomonodromic Hamiltonian Garnier system with two degrees of freedom
Mathematical Physics
2016-06-22 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct solutions of analogues of the nonstationary Schr\"odinger equation corresponding to the polynomial isomonodromic Hamiltonian Garnier system with two degrees of freedom. This solutions are obtained from solutions of systems of linear ordinary differential equations whose compatibility condition is the Garnier system. This solutions upto explicit transform also satisfy the Belavin --- Polyakov --- Zamolodchikov equations with four time variables and two space variables.
Keywords
Cite
@article{arxiv.1504.05668,
title = {"Quantizations" of isomonodromic Hamiltonian Garnier system with two degrees of freedom},
author = {D. P. Novikov and B. I. Suleimanov},
journal= {arXiv preprint arXiv:1504.05668},
year = {2016}
}
Comments
21 pages, in Russian