Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Symmetry Integrability and Geometry-methods and Applications

سال: 2021

ISSN: ['1815-0659']

DOI: https://doi.org/10.3842/sigma.2021.081