  We consider the isomonodromic formulation of the Calogero-Painlev\'e
multi-particle systems and proceed to their canonical quantization. We then
proceed to the quantum Hamiltonian reduction on a special representation to
radial variables, in analogy with the classical case and also with the theory
of quantum Calogero equations. This quantized version is compared to the
generalization of a result of Nagoya on integral representations of certain
solutions of the quantum Painlev\'e equations. We also provide multi-particle
generalizations of these integral representations.
