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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Authors: Mobasheramini, Fatane, Bertola, Marco
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211446
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantization of Calogero-Painlevé System and Multi-Particle Quantum Painlevé Equations II-VI. Fatane Mobasheramini and Marco Bertola. SIGMA 17 (2021), 081, 25 pages

We consider the isomonodromic formulation of the Calogero-Painlevé 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...