Nonlinear supersymmetric (Darboux) covariance of the Ermakov-Milne-Pinney equation
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Publication:1872082
DOI10.1016/S0375-9601(03)00495-XzbMath1098.81765arXivmath-ph/0209013OpenAlexW2023891902MaRDI QIDQ1872082
Hans Jürgen Korsch, Mikhail V. Ioffe
Publication date: 4 May 2003
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0209013
Nonlinear ordinary differential equations and systems (34A34) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Supersymmetry and quantum mechanics (81Q60)
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Cites Work
- Unnamed Item
- Exact discretization of the Ermakov-Pinney equation
- Equivalence classes for Emden equations
- Multi-component Ermakov systems: Structure and linearization
- SECOND ORDER DERIVATIVE SUPERSYMMETRY, q DEFORMATIONS AND THE SCATTERING PROBLEM
- A Note on the Time-Dependent Harmonic Oscillator
- On pulse-induced transition amplitudes in a two-state quantum system without level crossings
- Quantum Inozemtsev model, quasi-exact solvability and 𝒩-fold supersymmetry
- New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance
- Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators
- The nonlinear differential equation 𝑦”+𝑝(𝑥)𝑦+𝑐𝑦⁻³=0
- ASSOCIATED STURM-LIOUVILLE SYSTEMS