Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical Trace Formula and Spectral Shift Function for Systems via
  a Stationary Approach   We establish a semiclassical trace formula in a general framework of
microhyperbolic hermitian systems of $h$-pseudodifferential operators, and
apply it to the study of the spectral shift function associated to a pair of
selfadjoint Schr\"odinger operators with matrix-valued potentials. We give Weyl
type semiclassical asymptotics with sharp remainder estimate for the spectral
shift function, and, under the existence of a scalar escape function, a full
asymptotic expansion in the strong sense for its derivative. A time-independent
approach enables us to treat certain potentials with energy-level crossings.

8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph