Nonlinear friction in quantum mechanics
Quantum Physics
2013-03-12 v5 Statistical Mechanics
Abstract
The effect of nonlinear friction forces in quantum mechanics is studied via dissipative Madelung hydrodynamics. A new thermo-quantum diffusion equation is derived, which is solved for the particular case of quantum Brownian motion with a cubic friction. It is extended also by a chemical reaction term to describe quantum reaction-diffusion systems with nonlinear friction as well.
Cite
@article{arxiv.1003.0304,
title = {Nonlinear friction in quantum mechanics},
author = {Roumen Tsekov},
journal= {arXiv preprint arXiv:1003.0304},
year = {2013}
}