Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Approximate ground state of a confined Coulomb anyon gas in an external
  magnetic field   We derive an analytic, albeit approximate, expression for the ground state
energy of N Coulomb interacting anyons with fractional statistics nu, 0<= |nu|
<= 1, confined in a two-dimensional well (with characteristic frequency omega_0
) and subjected to an external magnetic field (with cyclotron frequency omega_c
). We apply a variational principle combined with a regularization procedure
which consists of fitting a cut-off parameter to existing exact analytical
results in the non-interacting case, and to numerical calculations for
electrons in quantum dots in the interacting case. The resulting expression
depends upon parameters of the system |nu|, N, omega_0, r_0, a_B and omega_c,
where r_0 represents a characteristic unit length and a_B the Bohr radius.
Validity of the result is critically assessed by comparison with exact,
approximate, and numerical results from the literature.

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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin