Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of Quantum Systems via Diagonalization of Transition
  Amplitudes I: Discretization Effects   We analyze the method for calculation of properties of non-relativistic
quantum systems based on exact diagonalization of space-discretized short-time
evolution operators. In this paper we present a detailed analysis of the errors
associated with space discretization. Approaches using direct diagonalization
of real-space discretized Hamiltonians lead to polynomial errors in
discretization spacing $\Delta$. Here we show that the method based on the
diagonalization of the short-time evolution operators leads to substantially
smaller discretization errors, vanishing exponentially with $1/\Delta^2$. As a
result, the presented calculation scheme is particularly well suited for
numerical studies of few-body quantum systems. The analytically derived
discretization errors estimates are numerically shown to hold for several
models. In the followup paper [1] we present and analyze substantial
improvements that result from the merger of this approach with the recently
introduced effective-action scheme for high-precision calculation of short-time
propagation.

12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom