Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fully Algebraic Description of the Static Level Sets for the System of
  Two Particles under a Van der Waals Potential   We study the equipotential surfaces around of a two particle system in 3-d
under a pairwise good potential as the one of Van der Waals. The level sets are
completely determined by the solutions of polynomials of at most fourth degree
that can be solved by standard algebraic methods. The distribution of real
positive roots determines the level sets and provides a complete description of
the map for the equipotential zones. Our methods can be generalized to a family
of polynomials with degree multiple of 2, 3, or 4. Numerical simulations of 2-d
and 3-d pictures depicting the true orbits and equipotential zones are
provided.

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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th