Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotics near +-m of the spectral shift function for Dirac operators
  with non-constant magnetic fields   We consider a 3-dimensional Dirac operator H_0 with non-constant magnetic
field of constant direction, perturbed by a sign-definite matrix-valued
potential V decaying fast enough at infinity. Then we determine asymptotics, as
the energy goes to +m and -m, of the spectral shift function for the pair
(H_0,H_0+V). We obtain, as a by-product, a generalised version of Levinson's
Theorem relating the eigenvalues asymptotics of H_0+V near +m and -m to the
scattering phase shift for the pair (H_0,H_0+V).

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The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org