pith. sign in

arxiv: 1109.1645 · v1 · pith:XDBD2BZFnew · submitted 2011-09-08 · 🧮 math-ph · math.MP

Hypergeometric solutions to Schr\"odinger equations for the quantum Painlev\'e equations

classification 🧮 math-ph math.MP
keywords equationsodingerpainlevquantumschrsolutionshypergeometricconfluent
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.