Analytic approximation to the harmonic oscillator equation with a sub-period time dependent parameter

DOI10.1016/j.physd.2003.10.002zbMath1053.81017OpenAlexW2143081562MaRDI QIDQ1885879

Manuel Fernández-Guasti

Publication date: 12 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2003.10.002

zbMATH Keywords

Harmonic oscillatorDifferential equations analysis

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (2)

General solutions of quantum mechanical equations of motion with time-dependent Hamiltonians: a Lie algebraic approach ⋮ Solutions to a periodic nonlinear differential equation: nonlinear Floquet theorem

Cites Work

• Unnamed Item
• Dynamical symmetries and the Ermakov invariant
• Coherent states for the time dependent harmonic oscillator: the step function
• Harmonic oscillator subject to parametric pulses: an amplitude (Milne) oscillator approach
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• A Note on the Time-Dependent Harmonic Oscillator
• Solution of the Schr dinger equation for time-dependent 1D harmonic oscillators using the orthogonal functions invariant
• Orthogonal functions invariant for the time-dependent harmonic oscillator

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