Invariants for the time-dependent harmonic oscillator. I

DOI10.1088/0305-4470/16/16/018zbMath0544.70031OpenAlexW1963631039MaRDI QIDQ3334156

M. Sebawe Abdalla, R. K. Colegrave

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1088/0305-4470/16/16/018

zbMATH Keywords

time-dependentdampedfamilies of linear invariantsfamilies of quadratic invariantsharmonic oscillator with variable mass or with variable frequency

Mathematics Subject Classification ID

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

Related Items (9)

QUANTUM TREATMENT OF TIME DEPENDENT COUPLED OSCILLATORS ⋮ Canonical transformations and exact invariants for dissipative systems ⋮ On a time-dependent nonholonomic oscillator ⋮ Time-dependent interaction between a two-level atom and a su(1,1) Lie algebra quantum system ⋮ Propagator for the time-dependent charged oscillator via linear and quadratic invariants ⋮ Time-dependent Schrödinger equations having isomorphic symmetry algebras. I. Classes of interrelated equations ⋮ Lie algebraic approach of a charged particle in presence of a constant magnetic field via the quadratic invariant ⋮ 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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