Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Corrections to Wigner type phase space methods   Over decades, the time evolution of Wigner functions along classical
Hamiltonian flows has been used for approximating key signatures of molecular
quantum systems. Such approximations are for example the Wigner phase space
method, the linearized semiclassical initial value representation, or the
statistical quasiclassical method. The mathematical backbone of these
approximations is Egorov's theorem. In this paper, we reformulate the
well-known second order correction to Egorov's theorem as a system of ordinary
differential equations and derive an algorithm with improved asymptotic
accuracy for the computation of expectation values. For models with easily
evaluated higher order derivatives of the classical Hamiltonian, the new
algorithm's corrections are computationally less expensive than the leading
order Wigner method. Numerical test calculations for a two-dimensional
torsional system confirm the theoretical accuracy and efficiency of the new
method.

5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph