Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure, Time Propagation and Dissipative Terms for Resonances   For odd anharmonic oscillators, it is well known that complex scaling can be
used to determine resonance energy eigenvalues and the corresponding
eigenvectors in complex rotated space. We briefly review and discuss various
methods for the numerical determination of such eigenvalues, and also discuss
the connection to the case of purely imaginary coupling, which is PT-symmetric.
Moreover, we show that a suitable generalization of the complex scaling method
leads to an algorithm for the time propagation of wave packets in potentials
which give rise to unstable resonances. This leads to a certain unification of
the structure and the dynamics. Our time propagation results agree with known
quantum dynamics solvers and allow for a natural incorporation of structural
perturbations (e.g., due to dissipative processes) into the quantum dynamics.

11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics