Antiquantization and the corresponding symmetries

DOI10.1007/s11232-015-0361-4zbMath1342.34116OpenAlexW2278854966MaRDI QIDQ268984

S. Yu. Slavyanov

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0361-4

zbMATH Keywords

symmetryPainlevé equationintegral transformantiquantizationdeformed Heun equationFuchsian systemHeun equation

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items (5)

Antiquantization as a specific way from the statistical physics to the regular physics ⋮ Confluent Heun equation and confluent hypergeometric equation ⋮ First-order ODE systems generating confluent Heun equations ⋮ Antiquantization, isomonodromy, and integrability ⋮ Relations between second-order Fuchsian equations and first-order Fuchsian systems

Cites Work

• Integrable dynamical systems generated by quantum models with an adiabatic parameter
• Euler integral symmetries for a deformed Heun equation and symmetries of the Painlevé PVI equation
• Polynomial degree reduction of a Fuchsian \(2\times2\) system
• Isomonodromic deformations and ``antiquantization for the simplest ordinary differential equations
• Painlevé equations as classical analogues of Heun equations
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