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Hypergeometric solutions to Schrödinger equations for the quantum Painlevé equations
Published 8 Sep 2011 in math-ph and math.MP | (1109.1645v1)
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.
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