Systematic construction of non‐autonomous Hamiltonian equations of Painlevé‐type. III. Quantization

Abstract This is the third article in our series of articles exploring connections between dynamical systems Stäckel‐type and Painlevé‐type. In this article, we present a method deforming minimally quantized quasi‐Stäckel Hamiltonians, considered Part I to self‐adjoint operators satisfying quantum Frobenius condition, thus guaranteeing that corresponding Schrödinger equations possess common, multitime solutions. As classical case, obtain here both magnetic nonmagnetic families systems. We also show existence multitime‐dependent canonical maps classes