Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time delay of slow electrons by a diatomic molecule described by
  non-overlapping atomic potentials model   We study the elastic scattering of slow electrons by two-atomic molecule in
the frame of non-overlapping atomic potentials model. The molecular continuum
wave function is represented as a combination of a plane wave and two spherical
s-waves, generated by the centers of atomic spheres. The asymptotic of this
function determines in closed form the amplitude of elastic electron
scattering. We show that this amplitude cannot be represented as a series of
spherical functions. Therefore, it is impossible to use straightly the usual
S-matrix methods to determine the scattering phases for non-spherical targets.
We show that far from molecule the continuum wave function can be presented as
an expansion in other than spherical orthonormal functions. The coefficients of
this expansion determine the molecular scattering phases for non-spherical
molecular systems. In such an approach, we calculate the Wigner times delay for
slow electron scattered by two-atomic target.

8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg