An alternative model of the damped harmonic oscillator under the influence of external force

DOI10.1007/s10773-009-0066-2zbMath1176.81042OpenAlexW1984879596MaRDI QIDQ1037307

M. Sebawe Abdalla, Nour Al-Ismael

Publication date: 16 November 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-009-0066-2

zbMATH Keywords

wave functionconstants of the motionsqueezing phenomenon

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (5)

Lewis-Riesenfeld quantization and SU(1, 1) coherent states for 2D damped harmonic oscillator ⋮ Landau problem with time dependent mass in time dependent electric and harmonic background fields ⋮ Exact solutions of a damped harmonic oscillator in a time dependent noncommutative space ⋮ Lie algebraic approach of a charged particle in presence of a constant magnetic field via the quadratic invariant ⋮ Lie algebraic approach and quantum treatment of an anisotropic charged particle via the quadratic invariant

Cites Work

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• Invariants for the time-dependent harmonic oscillator. I
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• SU(1,1) Lie algebraic approach to linear dissipative processes in quantum optics
• Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
• Linear and quadratic invariants for the transformed Tavis–Cummings model
• Wigner functions for time-dependent coupled linear oscillators via linear and quadratic invariant processes
• Class of Exact Invariants for Classical and Quantum Time-Dependent Harmonic Oscillators

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