Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koopman wavefunctions and Clebsch variables in Vlasov-Maxwell kinetic
  theory   Motivated by recent discussions on the possible role of quantum computation
in plasma simulations, here we present different approaches to Koopman's
Hilbert-space formulation of classical mechanics in the context of
Vlasov-Maxwell kinetic theory. The celebrated Koopman-von Neumann construction
is provided with two different Hamiltonian structures: one is canonical and
recovers the usual Clebsch representation of the Vlasov density, the other is
noncanonical and appears to overcome certain issues emerging in the canonical
formalism. Furthermore, the canonical structure is restored for a variant of
the Koopman-von Neumann construction that carries a different phase dynamics.
Going back to van Hove's prequantum theory, the corresponding Koopman-van Hove
equation provides an alternative Clebsch representation which is then coupled
to the electromagnetic fields. Finally, the role of gauge transformations in
the new context is discussed in detail.

12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc