Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Space Approach to Solving the Time-independent Schr\"odinger
  Equation   We propose a method for solving the time independent Schr\"odinger equation
based on the von Neumann (vN) lattice of phase space Gaussians. By
incorporating periodic boundary conditions into the vN lattice [F. Dimler et
al., New J. Phys. 11, 105052 (2009)] we solve a longstanding problem of
convergence of the vN method. This opens the door to tailoring quantum
calculations to the underlying classical phase space structure while retaining
the accuracy of the Fourier grid basis. The method has the potential to provide
enormous numerical savings as the dimensionality increases. In the classical
limit the method reaches the remarkable efficiency of 1 basis function per 1
eigenstate. We illustrate the method for a challenging two-dimensional
potential where the FGH method breaks down.

31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
16
The categories of this paper are: stat