Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations

Abstract

We consider Schrödinger equations for the quantum Painlevé equations. We present hypergeometric solutions of the Schrödinger equations for the quantum Painlevé equations, as particular solutions. We also give a representation theoretic correspondence between Hamiltonians of the Schrödinger equations for the quantum Painlevé equations and those of the KZ equation or the confluent KZ equations.

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

References in corpus (1)

• Confluent primary fields in the conformal field theory

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