Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical and quantum behavior of the harmonic and the quartic
  oscillators   In a previous paper a formalism to analyze the dynamical evolution of
classical and quantum probability distributions in terms of their moments was
presented. Here the application of this formalism to the system of a particle
moving on a potential is considered in order to derive physical implications
about the classical limit of a quantum system. The complete set of harmonic
potentials is considered, which includes the particle under a uniform force, as
well as the harmonic and the inverse harmonic oscillators. In addition, as an
example of anharmonic system, the pure quartic oscillator is analyzed.
Classical and quantum moments corresponding to stationary states of these
systems are analytically obtained without solving any differential equation.
Finally, dynamical states are also considered in order to study the differences
between their classical and quantum evolution.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an