Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffraction in the semiclassical description of mesoscopic devices   In pseudo integrable systems diffractive scattering caused by wedges and
impurities can be described within the framework of Geometric Theory of
Diffraction (GDT) in a way similar to the one used in the Periodic Orbit Theory
of Diffraction (POTD). We derive formulas expressing the reflection and
transition matrix elements for one and many diffractive points and apply it for
impurity and wedge diffraction. Diffraction can cause backscattering in
situations, where usual semiclassical backscattering is absent causing an
erodation of ideal conductance steps. The length of diffractive periodic orbits
and diffractive loops can be detected in the power spectrum of the reflection
matrix elements. The tail of the power spectrum shows $\sim 1/l^{1/2}$ decay
due to impurity scattering and $\sim 1/l^{3/2}$ decay due to wedge scattering.
We think this is a universal sign of the presence of diffractive scattering in
pseudo integrable waveguides.

36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an