Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A pure state decomposition approach of the mixed dynamic form factor for
  mapping atomic orbitals   We demonstrate how the mixed dynamic form factor (MDFF) can be interpreted as
a quadratic form. This makes it possible to use matrix diagonalization methods
to reduce the number of terms that need to be taken into account when
calculating the inelastic scattering of electrons in a crystal. It also leads
in a natural way to a new basis that helps elucidate the underlying physics.
The new method is applied to several cases to show its versatility. In
particular, predictions are made for directly imaging atomic orbitals in
crystals.

10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph