Hypergeometric solutions to Schr\"odinger equations for the quantum Painlev\'e equations
Mathematical Physics
2011-09-09 v1 math.MP
Abstract
We consider Schr\"odinger equations for the quantum Painlev\'e equations. We present hypergeometric solutions of the Schr\"odinger equations for the quantum Painlev\'e equations, as particular solutions. We also give a representation theoretic correspondence between Hamiltonians of the Schr\"odinger equations for the quantum Painlev\'e equations and those of the KZ equation or the confluent KZ equations.
Cite
@article{arxiv.1109.1645,
title = {Hypergeometric solutions to Schr\"odinger equations for the quantum Painlev\'e equations},
author = {Hajime Nagoya},
journal= {arXiv preprint arXiv:1109.1645},
year = {2011}
}
Comments
17 pages; Journal of Mathematical Physics (Vol.52, Issue 8) 2011