This paper is intended to provide the reader with a review of the authors’ latest results dealing with the modeling of quantum dissipation/diffusion effects at the level of Schrödinger systems, in connection with the corresponding phase space and fluid formulations of such kind of phenomena, especially in what concerns the role of the Fokker–Planck mechanism in the description of open quantum systems and the macroscopic dynamics associated with some viscous hydrodynamic models of Euler and Navier–Stokes type.
@article{bwmeta1.element.doi-10_2478_nsmmt-2013-0004,
author = {Jos\'e Luis L\'opez and Jes\'us Montejo--G\'amez},
title = {On the derivation and mathematical analysis of some quantum--mechanical models accounting for Fokker--Planck type dissipation: Phase space, Schr\"odinger and hydrodynamic descriptions},
journal = {Nanoscale Systems: Mathematical Modeling, Theory and Applications},
volume = {2},
year = {2013},
pages = {49-80},
zbl = {1273.81143},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2013-0004}
}
José Luis López; Jesús Montejo–Gámez. On the derivation and mathematical analysis of some quantum–mechanical models accounting for Fokker–Planck type dissipation: Phase space, Schrödinger and hydrodynamic descriptions. Nanoscale Systems: Mathematical Modeling, Theory and Applications, Tome 2 (2013) pp. 49-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_nsmmt-2013-0004/
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