Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unicity of the integrated density of states for relativistic
  Schroedinger operators with regular fields and singular electric potentials   We show coincidence of the two definitions of the integrated density of
states (IDS) for a class of relativistic Schroedinger operators with magnetic
fields and scalar potentials, the first one relying on the eigenvalue counting
function of operators induced on open bounded sets with Dirichlet boundary
conditions, the other one involving the spectral projections of the operator
defined on the entire space. In this way one generalizes previous results for
non-relativistic operators. The proofs needs the magnetic pseudodifferential
calculus, as well as a Feynman-Kac-Ito formula for Levy processes. In addition,
in case when both the magnetic field and the scalar potential are periodic, one
also proves the existence of the IDS.

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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th