Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Scattering problems and boundary conditions for 2D electron gas and
  graphene   Structure and coordinate dependence of the reflected wave, as well as
boundary conditions for quasi-particles of graphene and the two dimensional
electron gas in sheets with abrupt lattice edges are obtained and analyzed by
the Green's function technique. In particular, the reflection wave function
contains terms inversely proportional to the distance to the graphene lattice
edge. The Dirac equation and the momentum dependence of the wave functions of
the quasi-particles near the conical points are also found by the perturbation
theory with degeneracy in terms of the Bloch functions taken at the degeneracy
points. The developed approach allows to formulated the validity criteria for
the Dirac equation in a rather simple way.

15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg