The \(q\)-oscillator: A Lagrangian description for variable damping

DOI10.1016/S0375-9601(00)00102-XzbMath0957.70014MaRDI QIDQ1569591

N. Delaunay

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

\(q\)-oscillator\(q\)-LagrangianBateman's Lagrangiandamped harmonic simple oscillatorstable harmonic oscillatory regime

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Forced motions in linear vibration theory (70J35) Lagrange's equations (70H03)

Related Items (4)

Weak ion-acoustic double layers in a plasma with a \(q\)-nonextensive electron velocity distribution ⋮ Semi-analytical study of variable charge dust acoustic solitary waves in a dusty plasma with a \(q\)-nonextensive ion velocity distribution ⋮ The entropic index of the planets of the solar-system ⋮ Effects of two-temperature nonextensive electrons on ion-acoustic double layers

Cites Work

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• Possible generalization of Boltzmann-Gibbs statistics.
• Statistical mechanics of quantum one-dimensional damped harmonic oscillator
• The range of application of the lagrange formalism — I
• On aq-generalization of circular and hyperbolic functions
• Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
• On Dissipative Systems and Related Variational Principles
• A Note on the Quantization of Dissipative Systems

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