Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization of Calogero-Painlev\'e System and Multi-Particle Quantum
  Painlev\'e Equations II-VI   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.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph