Antiquantization of deformed Heun-class equations

DOI10.1134/S0040577916010104zbMath1338.81204MaRDI QIDQ290087

O. L. Stesik, S. Yu. Slavyanov

Publication date: 1 June 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Painlevé equationantiquantizationdeformed Heun-class equationHeun-class equation

Mathematics Subject Classification ID

Hamilton's equations (70H05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (12)

On families of constrictions in model of overdamped Josephson junction and Painlevé 3 equation* ⋮ Antiquantization as a specific way from the statistical physics to the regular physics ⋮ Confluent Heun equation and confluent hypergeometric equation ⋮ Solution space monodromy of a special double confluent Heun equation and its applications ⋮ Symbolic generation of Painlevé equations ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Symmetries and apparent singularities for the simplest Fuchsian equations ⋮ First-order ODE systems generating confluent Heun equations ⋮ Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients ⋮ Antiquantization, isomonodromy, and integrability ⋮ Antiquantization of the Double Confluent Heun Equation. The Teukolsky Equation ⋮ Special functions emerging from symmetries of the space of solutions to special double confluent Heun equation

Cites Work

• The isomonodromic deformation method in the theory of Painlevé equations
• Painlevé equations and isomonodromic deformations of equations of the Heun class
• Painlevé equations as classical analogues of Heun equations
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