Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Harmonic Oscillator in the Framework of Scale Relativity   The dynamical law obeyed by the one-dimensional physical systems in the scale
relativity approach is reduced to a Riccati nonlinear differential equation.
Applied to the harmonic oscillator potential, we show that such an approach
permits the calculation of the solutions of the scale relativity problem in
terms of the well known solutions of the Schroedinger equation for the harmonic
oscillator.

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The categories of this paper are: quant-ph
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The categories of this paper are: solv-int
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The categories of this paper are: stat
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
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
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
18
The categories of this paper are: econ