The special Doebner-Goldin equation as a fundamental equation of dissipative quantum mechanics

DOI10.1016/0375-9601(94)90835-4zbMath0959.81524OpenAlexW2025821395MaRDI QIDQ1964443

A. G. Ushveridze

Publication date: 6 February 2000

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

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90835-4

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Analytical solution of two-dimensional Scarf II model by means of SUSY methods ⋮ Exact solutions of the general Doebner-Goldin equation ⋮ Oscillatory motion in confined potential systems with dissipation in the context of the Schrödinger-Langevin-Kostin equation ⋮ Simple unified derivation and solution of Coulomb, Eckart and Rosen-Morse potentials in prepotential approach ⋮ New fundamental symmetries of integrable systems and partial Bethe ansatz ⋮ 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

• Non-linear partial differential operators and quantization procedures. Proceedings of a Workshop held at Clausthal, Federal Republic of Germany, 1981
• Dissipative quantum mechanics. A special Doebner-Goldin equation, its properties and exact solutions

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