Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Koopman-von Neumann Waves   In this paper we study the classical Hilbert space introduced by Koopman and
von Neumann in their operatorial formulation of classical mechanics. In
particular we show that the states of this Hilbert space do not spread,
differently than what happens in quantum mechanics. The role of the phases
associated to these classical "wave functions" is analyzed in details. In this
framework we also perform the analog of the two-slit experiment and compare it
with the quantum case.

15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th