On the non-V-representability of currents in time-dependent many particle systems

Details On the non-V-representability of currents in time-dependent many particle systems On the non-V-representability of currents in time-dependent many particle systems

2005-01-10

arxiv.org/abs/cond-mat/0501187v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 figure, RevTex 4, submitted to Phys. Rev. B

Scientific paper

10.1103/PhysRevB.71.245103

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.

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