Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth spectral transition from Coulomb to oscillator   Non-relativistic potential models are considered of the pure power V(r) =
sgn(q) r^q and logarithmic V(r) = ln(r) types. Envelope representations and
kinetic potentials are employed to show that these potentials are actually in a
single family. The log spectra can be obtained from the power spectra by the
limit q --> 0 taken in a smooth representation P_{n\ell}(q) for the eigenvalues
E_{n\ell}(q). A simple approximation formula is developed which yields the
first thirty eigenvalues with error < 0.04%. Extensions to potentials with
linear combinations of terms such as -a/r + br and applications to
spatially-symmetric few-body problems are discussed.

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The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
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The categories of this paper are: econ
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom