Antiquantization as a specific way from the Statistical physics to the Regular physics

Sergey Slavyanov and Olga Stesik

Physica A: Statistical Mechanics and its Applications, 2019, vol. 521, issue C, 512-518

Abstract: An extended analysis is given of links between linear Heun class equations and the nonlinear Painlevé equations. For linear equations, Heun class equations, deformed Heun class equations, parallel to various first-order systems, are chosen. The role of an accessory parameter in each case is explained. Links to isomonodromic property is traced. The complete list of Painlevé equations in an nonconventional manner is presented.

Keywords: Heun equation; Confluent Heun equation; Painlevé equation; Antiquantization; Isomonodromic property; Fuchsian singularity; Apparent singularity (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:521:y:2019:i:c:p:512-518

DOI: 10.1016/j.physa.2019.01.061

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