Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum-classical transition in dissipative systems through scaled
  trajectories   A nonlinear quantum-classical transition wave equation is proposed for
dissipative systems within the Caldirola-Kanai model. Equivalence of this
transition equation to a scaled Schr\"{o}dinger equation is proved. The
dissipative dynamics is then studied in terms of what we call scaled
trajectories following the standard procedure used in Bohmian mechanics. These
trajectories depend on a continuous parameter allowing us a smooth transition
from Bohmian to classical trajectories. Arrival times and actual momentum
distribution functions are also analyzed. The propagation of a Gaussian wave
packet in a viscid medium under the presence of constant, linear and harmonic
potentials is studied. The gradual decoherence process and localization are
easily visualized and understood within this theoretical framework.

2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci