Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real stabilization of resonance states employing two parameters: basis
  set size and coordinate scaling   The resonance states of one- and two-particle Hamiltonians are studied using
variational expansions with real basis-set functions. The resonance energies,
$E_r$, and widths, $\Gamma$, are calculated using the density of states and an
${\mathcal L}^2$ golden rule-like formula. We present a recipe to select
adequately some solutions of the variational problem. The set of approximate
energies obtained shows a very regular behaviour with the basis-set size, $N$.
Indeed, these particular variational eigenvalues show a quite simple scaling
behaviour and convergence when $N\rightarrow \infty$. Following the same
prescription to choose particular solutions of the variational problem we
obtain a set of approximate widths. Using the scaling function that
characterizes the behaviour of the approximate energies as a guide, it is
possible to find a very good approximation to the actual value of the resonance
width.

34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin