Investigation of the time evolution of Lane–Emden-type Kanai–Caldirola oscillator

DOI10.1063/1.3043790zbMath1189.81055OpenAlexW2126937000MaRDI QIDQ3650862

Serhat F. Özeren

Publication date: 7 December 2009

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

Full work available at URL: https://doi.org/10.1063/1.3043790

zbMATH Keywords

harmonic oscillatorsSU(N) theory

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Coherent states (81R30)

Related Items (3)

Joint entropy of quantum damped harmonic oscillators ⋮ Investigation of the time evolutions of some log-periodic oscillators ⋮ The quantum Lane-Emden-type Kanai-Caldirola oscillators

Cites Work

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• Linearization methods in classical and quantum mechanics
• Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
• Coherent and squeezed states for light in homogeneous conducting linear media by an invariant operator method
• Lie point symmetries and exact solutions of quasilinear differential equations with critical exponents
• Second order initial value problems of Lane-Emden type
• Generalized Lane-Emden equation and the structure of galactic dark matter
• Exact solutions of the generalized Lane–Emden equation

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