Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the approximation of Feynman-Kac path integrals for quantum
  statistical mechanics   Discretizations of the Feynman-Kac path integral representation of the
quantum mechanical density matrix are investigated. Each infinite-dimensional
path integral is approximated by a Riemann integral over a finite-dimensional
function space, by restricting the integration to a subspace of all admissible
paths. Using this process, a wide class of methods can be derived, with each
method corresponding to a different choice for the approximating subspace. The
traditional ``short-time'' approximation and ``Fourier discretization'' can be
recovered from this approach, using linear and spectral basis functions
respectively. As an illustration, a novel method is formulated using cubic
elements and is shown to have improved convergence properties when applied to a
simple model problem.

12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat