SUSY partners of the truncated oscillator, Painlevé transcendents and Bäcklund transformations

DOI10.1088/1751-8113/49/19/195202zbMath1342.81160arXiv1603.05173OpenAlexW2299295289MaRDI QIDQ2991891

Vicente Said Morales-Salgado, David J. Fernández C.

Publication date: 10 August 2016

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

Full work available at URL: https://arxiv.org/abs/1603.05173

zbMATH Keywords

Painlevé transcendentsBäcklund transformationssupersymmetric quantum mechanicstruncated oscillator

Mathematics Subject Classification ID

Supersymmetry and quantum mechanics (81Q60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

A family of fourth-order superintegrable systems with rational potentials related to Painlevé VI ⋮ Factorization method applied to the second order difference equations ⋮ Fourth order superintegrable systems separating in polar coordinates. I. Exotic potentials ⋮ Higher order supersymmetric truncated oscillators ⋮ Quantum-mechanical explicit solution for the confined harmonic oscillator model with the von Roos kinetic energy operator ⋮ Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Fourth-order superintegrable systems separating in polar coordinates. II. Standard potentials

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