Generation of Painlevé V transcendents

DOI10.1007/978-3-030-34072-8_3zbMath1447.34077OpenAlexW2991565993MaRDI QIDQ3294700

Javier Negro, David Bermudez, David J. C. Fernández

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-34072-8_3

zbMATH Keywords

supersymmetric quantum mechanicsPainlevé equationspolynomial Heisenberg algebras

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55)

Cites Work

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• Non-Hermitian Hamiltonians and the Painlevé IV equation with real parameters
• Dressing chains and the spectral theory of the Schrödinger operator
• Nonlinear chains and Painlevé equations
• Systems with higher-order shape invariance: spectral and algebraic properties
• Nonlinear supersymmetry in quantum mechanics: algebraic properties and differential repre\-sentation
• A simple generation of exactly solvable anharmonic oscillators
• Solutions to the Painlevé V equation through supersymmetric quantum mechanics
• Superintegrability with third order integrals of motion, cubic algebras, and supersymmetric quantum mechanics. II. Painlevé transcendent potentials
• Polynomial Heisenberg algebras
• Bäcklund Transformations and Solution Hierarchies for the Fourth Painlevé Equation
• Trends in Supersymmetric Quantum Mechanics

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