Supersymmetric partners of the harmonic oscillator with an infinite potential barrier

DOI10.1088/1751-8113/47/3/035304zbMath1283.81076arXiv1310.5628OpenAlexW3101262848MaRDI QIDQ5402227

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

Publication date: 6 March 2014

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

Full work available at URL: https://arxiv.org/abs/1310.5628

zbMATH Keywords

supersymmetric quantum mechanicsPainlevé IV equationbound satesspectrum design

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Supersymmetry and quantum mechanics (81Q60)

Related Items (8)

Complex oscillator and Painlevé IV equation ⋮ The confluent supersymmetry algorithm for Dirac equations with pseudoscalar potentials ⋮ Higher order supersymmetric truncated oscillators ⋮ Ladder operators and coherent states for multi-step supersymmetric rational extensions of the truncated oscillator ⋮ The generalized confluent supersymmetry algorithm: Representations and integral formulas ⋮ Painlevé IV solutions from systems with a harmonic oscillator gapped spectrum ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Ladder operators and coherent states for the Rosen–Morse system and its rational extensions

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