Solutions to the Painlevé V equation through supersymmetric quantum mechanics

DOI10.1088/1751-8113/49/33/335203zbMath1347.81048arXiv1512.01936OpenAlexW2194016466MaRDI QIDQ2822101

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

Publication date: 27 September 2016

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

Full work available at URL: https://arxiv.org/abs/1512.01936

zbMATH Keywords

nonlinear differential equationssupersymmetric quantum mechanicsPainlevé equationsexactly solvable potentials

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Exactly and quasi-solvable systems arising in quantum theory (81U15) Supersymmetry and quantum mechanics (81Q60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Third-order ladder operators, generalized Okamoto and exceptional orthogonal polynomials ⋮ Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials ⋮ Generation of Painlevé V transcendents ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials ⋮ On the general family of third-order shape-invariant Hamiltonians related to generalized Hermite polynomials ⋮ Fourth Painlevé and Ermakov equations: quantum invariants and new exactly-solvable time-dependent Hamiltonians

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