Quantization of the damped harmonic oscillator

DOI10.1063/1.5022321zbMath1395.81112OpenAlexW2887918584MaRDI QIDQ4586492

Ahmed al-Jamel, H. El-Nasser, M. Abusini, Eqab M. Rabei, M. Serhan

Publication date: 13 September 2018

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

Full work available at URL: https://doi.org/10.1063/1.5022321

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Forced motions in linear vibration theory (70J35) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Hamilton-Jacobi equations in mechanics (70H20) Lagrange's equations (70H03)

Related Items (4)

Extension of the variational method to conformable quantum mechanics ⋮ Relation between a relaxation time and the friction coefficient used in the theory of damped motion ⋮ Comment on “Quantization of the damped harmonic oscillator” [J. Math. Phys. 59, 082105 (2018)] ⋮ Response to “Comment on ‘Quantization of the damped harmonic oscillator’” [J. Math. Phys. 60, 094101 (2019)]

Cites Work

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• Quantization of the damped harmonic oscillator revisited
• Hamilton-Jacobi formulation for systems in terms of Riesz's fractional derivatives
• Quantization of fractional systems using WKB approximation
• The Hamilton formalism with fractional derivatives
• Quantization of Brownian motion
• Hamilton-Jacobi fractional mechanics
• Quantization of holonomic systems using WKB approximation
• Formulation of Euler-Lagrange equations for fractional variational problems
• Path integrals and wavepacket evolution for damped mechanical systems
• POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES

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