Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Single-Particle density of States, Bound States, Phase-Shift Flip,
  and a Resonance in the Presence of an Aharonov-Bohm Potential   Both the nonrelativistic scattering and the spectrum in the presence of the
Aharonov-Bohm potential are analyzed. The single-particle density of states
(DOS) for different self-adjoint extensions is calculated. The DOS provides a
link between different physical quantities and is a natural starting point for
their calculation. The consequences of an asymmetry of the S matrix for the
generic self-adjoint extension are examined.
  I. Introduction
  II. Impenetrable flux tube and the density of states
  III. Penetrable flux tube and self-adjoint extensions
  IV. The S matrix and scattering cross sections
  V. The Krein-Friedel formula and the resonance
  VI. Regularization
  VII. The R --> 0 limit and the interpretation of self-adjoint extensions
  VIII. Energy calculations
  IX. The Hall effect in the dilute vortex limit
  X. Persistent current of free electrons in the plane pierced by a flux tube
  XI. The 2nd virial coefficient of nonrelativistic interacting anyons
  XII. Discussion of the results and open questions

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ph