Invariants for the time-dependent harmonic oscillator. II. Cubic and quartic invariants

DOI10.1088/0305-4470/17/7/025zbMath0598.70025OpenAlexW1990656151MaRDI QIDQ3733021

R. K. Colegrave, M. Sebawe Abdalla, M. Abdul Mannan

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1088/0305-4470/17/7/025

zbMATH Keywords

existencefamilies of quadratic invariantsharmonic oscillator with variable mass and frequencyhomogeneous time-dependent invariants

Mathematics Subject Classification ID

Hamilton's equations (70H05) Hamiltonian and Lagrangian mechanics (70H99) Free motions in linear vibration theory (70J30)

Related Items (5)

QUANTUM TREATMENT OF TIME DEPENDENT COUPLED OSCILLATORS ⋮ On a time-dependent nonholonomic oscillator ⋮ Propagator for the time-dependent charged oscillator via linear and quadratic invariants ⋮ An alternative model of the damped harmonic oscillator under the influence of external force ⋮ Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant

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