Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations

Details Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations

2011-09-08

arxiv.org/abs/1109.1645v1

Physics

Mathematical Physics

17 pages; Journal of Mathematical Physics (Vol.52, Issue 8) 2011

Scientific paper

10.1063/1.3620412

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.

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