© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:1504.08087 · Annals of Physics

The Schrödinger–Langevin equation with and without thermal fluctuations

Roland Katz, Pol-Bernard Gossiaux

Published Feb 20, 2016• 112 citations

DOI: 10.1016/j.aop.2016.02.005

Related papers

The generalized Schrödinger–Langevin equation

Pedro Bargueño, Salvador Miret-Artés

Annals of Physics•Apr 19, 2014•25 citations

Derivation of a generalized nonlinear Schrödinger-Langevin equation

Antonio Boulhosa Nassar

Physics Letters A•May 1, 1985•16 citations

Stability of stationary solutions of the Schrödinger–Langevin equation

P. Ván, Tamás Fülöp

arXiv:quant-ph/0304190•Physics Letters A•Feb 26, 2004•17 citations

Return to thermal equilibrium by the solution of a quantum Langevin equation

Hans Maassen

Journal of Statistical Physics•Jan 1, 1984•24 citations

Stability of stationary solutions of the Schrodinger-Langevin equation

P.Van, Tamas FULOP

•Jan 1, 2004•0 citations

On the Schrödinger-Langevin Equation

Morton D. Kostin

It is shown that the Heisenberg-Langevin equation can be used to derive a Schrödinger equation for a Brownian particle interacting with a thermal environment. The equation derived is iℏ(∂ψ/∂ t)=−(ℏ2/2m)∇2ψ+Vψ+VRψ+[(ℏ f/2im) ln(ψ/ψ*)+W(t)]ψ(r, t), W(t)=−(ℏ f/2im)∫ψ* ln(ψ/ψ*)ψ dr,where f is the friction constant and VR is a random potential.

The Journal of Chemical Physics•Nov 1, 1972•376 citations