Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximating resonances with the Complex Absorbing Potential Method   We study the Complex Absorbing Potential (CAP) Method in computing quantum
resonances of width $c(h) = O(h^N)$, $N\gg1$. We show that up to
$h^{-M}\sqrt{c(h)} +\Oh$ error, $M\gg1$, resonances are perturbed eigenvalues
of the CAP Hamiltonian $P(h)-iW$, and vice versa, where $W$ is the CAP with
non-negative real part supported outside the trapping region. In some cases,
the error terms are exponentially small.

7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin