Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase-space propagation and stability analysis of the 1-dimensional
  Schr\"odinger equation for finding bound and resonance states of rotationally
  excited H$_2$   A mathematical phase-space representation of the 1-dimensional Schr\"odinger
equation is employed to obtain bound and resonance states of the rotationally
excited H$_2$ molecule. The structure of the phase-space tangent field is
analyzed and related to the behavior of the wave function in classically
allowed and forbidden regions. In this phase-space representation, bound states
behave like unstable orbits meanwhile resonance states behave similarly to
asymptotically stable cycles. The lattice of quantum states of the
energy-momentum diagram for H$_2$ is calculated allowing to have a global view
of the energy as function of the quantum numbers. The arc length and winding
number of the phase-space trajectories, as functions of the energy, are used to
obtain the energy eigenvalues of bound and resonance states of H$_2$

30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int