Integral Formulas for Quantum Isomonodromic Systems

Abstract

We present integral formulas for particular solutions of quantum isomonodromic systems, which are time-dependent Schrodinger systems and quantizations of isomonodromic deformations for certain Fuchsian systems. The functions given by these integral formulas are generalizations of the generalized hypergeometric function ${}_L{F}_{L-1}$.