Non- V -representability of currents in time-dependent many-particle systems
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We argue that an arbitrarily chosen time-dependent current density is generically non-V-representable 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.
Phys. Rev. B 71, 245103 (2005) [6 pages]