Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Magnetic Interaction of Dirac Particles   It is shown that the magnetic force between two classical point charges, each
undergoing relativistic circulatory motion of small radius compared to the
separation between their centers of circulation, and assuming a time-symmetric
electromagnetic interaction, is modulated by a factor that behaves similarly to
the Schr\"odinger wavefunction. The modulation solves an equation formally
identical to the time-dependent free-particle Schr\"odinger equation, apart
from a factor of two on the partial time derivative term. Separating variables
and considering motion in a time-independent potential obtains that the
modulation also satisfies an equation formally similar to the time-independent
Schro\"dinger equation. Using a formula for relativistic rest energy advanced
by Osiak, the time-independent Schr\"odinger equation is solved exactly by the
resulting modulation function. A simple interpretation for the quantum
mechanical wavefunction is proposed.

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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci