Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path integral approach to the calculation of the characteristic function
  of work   Work statistics characterizes important features of a non-equilibrium
thermodynamic process. But the calculation of the work statistics in an
arbitrary non-equilibrium process is usually a cumbersome task. In this work,
we study the work statistics in quantum systems by employing Feynman's
path-integral approach. We derive the analytical work distributions of two
prototype quantum systems. The results are proved to be equivalent to the
results obtained based on Schr\"{o}dinger's formalism. We also calculate the
work distributions in their classical counterparts by employing the
path-integral approach. Our study demonstrates the effectiveness of the
path-integral approach to the calculation of work statistics in both quantum
and classical thermodynamics, and brings important insights to the
understanding of the trajectory work in quantum systems.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin