Oscillatory motion in confined potential systems with dissipation in the context of the Schrödinger-Langevin-Kostin equation

DOI10.1016/j.physleta.2007.07.019zbMath1217.81070OpenAlexW2037548494MaRDI QIDQ555715

Alexander A. Smirnovsky, Andrey L. Sanin

Publication date: 26 July 2011

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.019

zbMATH Keywords

oscillations external force confined systems negative dissipation Schrödinger-Langevin-Kostin equation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (7)

Wellposedness of a nonlinear, logarithmic Schrödinger equation of Doebner-Goldin type modeling quantum dissipation ⋮ The Schrödinger-Langevin equation with and without thermal fluctuations ⋮ Time-dependent Gaussian solution for the Kostin equation around classical trajectories ⋮ Dirac potential in the Doebner-Goldin equation ⋮ A quantum approach to Keller-Segel dynamics via a dissipative nonlinear Schrödinger equation ⋮ Regularized splitting spectral method for space-fractional logarithmic Schrödinger equation ⋮ On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions

Cites Work

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