Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the non-V-representability of currents in time-dependent many
  particle systems   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.

29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
2
The categories of this paper are: math
18
The categories of this paper are: econ