Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Off-center impurity in alkali halides: reorientation, electric
  polarization and pairing to F center. IV. Reorientational rate   This last Part IV is aimed at deriving relaxation rates (times) of an
off-center Li+ impurity. We follow Christov's reaction rate method to define
general rate equations in terms of the exact Mathieu eigenvalues, as well as of
harmonic-oscillator eigenvalues approximating for the energy spectrum near the
bottom of the reorientational wells. To calculate the rate in each particular
case, we derive configurational tunneling probabilities by either Mathieu
eigenfunctions or by harmonic oscillator eigenfunctions. The electron-transfer
probability is calculated by generalizing Landau-Zener's method. Typical
examples are considered and compared with experimental relaxation times in
KCl:Li+.

28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas