On the non-V-representability of currents in time-dependent many particle systems
Mesoscale and Nanoscale Physics
2009-11-11 v1
Abstract
We argue that an arbitrarily chosen time-dependent current density is generically non-Vrepresentable in a many-particle system, i.e., it cannot be obtained by applying only a time dependent scalar potential to the system. Furthermore we show by a concrete example that even a current that is V-representable in an interacting many-particle system may (and in general will) turn out to be non-V-representable when the interaction between the particles is turned off.
Keywords
Cite
@article{arxiv.cond-mat/0501187,
title = {On the non-V-representability of currents in time-dependent many particle systems},
author = {Roberto D'Agosta and Giovanni Vignale},
journal= {arXiv preprint arXiv:cond-mat/0501187},
year = {2009}
}
Comments
6 pages, 1 figure, RevTex 4, submitted to Phys. Rev. B