Complex oscillator and Painlevé IV equation
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Publication:305345
DOI10.1016/j.aop.2015.04.022zbMath1343.81115arXiv1503.08236OpenAlexW3104475112MaRDI QIDQ305345
F. Blanchet-Sadri, M. Dambrine
Publication date: 29 August 2016
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.08236
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60)
Related Items
Addendum: Painlevé transcendents and PT -symmetric Hamiltonians (2015 J. Phys. A: Math. Theor. 48 475202) ⋮ On integrable Ermakov-Painlevé IV systems ⋮ Connection between quantum systems involving the fourth Painlevé transcendent and k-step rational extensions of the harmonic oscillator related to Hermite exceptional orthogonal polynomial ⋮ Trends in Supersymmetric Quantum Mechanics ⋮ Painlevé IV Transcendents Generated from the Complex Oscillator ⋮ Dynamical symmetry algebras of two superintegrable two-dimensional systems
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