Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quadrupole transitions in the bound rotational-vibrational spectrum of
  the deuterium molecular ion   After the study of the three body molecular system H$_2^+$ ({\it J. Phys. B:
At. Mol. Opt. Phys.} {\bf 45} 065101), its isotopomer, the deuterium molecular
ion D$_2^+$ is studied. The three-body Schr\"odinger equation is solved using
the Lagrange-mesh method in perimetric coordinates. Energies and wave functions
for four vibrational states $v=0-3$ and bound or quasibound states for total
orbital momenta from 0 to 56 are calculated. The 1986 fundamental constant
$m_d=3670.483014\,m_e$ is used. The obtained energies have an accuracy from
about 13 digits for the lowest vibrational state to at least 9 digits for the
third vibrational excited state. Quadrupole transition probabilities per time
unit between those states over the whole rotational bands were calculated.
Extensive results are presented with six significant figures.

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The categories of this paper are: econ
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg