Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Bohmian mechanics within the Schr\"{o}dinger-Langevin
  framework: A trajectory analysis of wave-packet dynamics in a
  fluctuative-dissipative medium   A Bohmian analysis of the so-called Schr\"{o}dinger-Langevin or Kostin
nonlinear differential equation is provided to study how thermal fluctuations
of the environment affects the dynamics of the wave packet from a quantum
hydrodynamical point of view. In this way, after obtaining the
Schr\"{o}dinger-Langevin-Bohm equation from the Kostin equation its application
to simple but physically insightful systems such as the Brownian-Bohmian
motion, motion in a gravity field and transmission through a parabolic repeller
is studied. % If a time-dependent Gaussian ansatz for the probability density
is assumed, the effect of thermal fluctuations together with thermal wave
packets leads to Bohmian stochastic trajectories. From this trajectory based
analysis, quantum and classical diffusion coefficients for free particles,
thermal arrival times for a linear potential and transmission probabilities and
characteristic times such as arrival and dwell times for a parabolic repeller
are then presented and discussed.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat