Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical Integrated Raman Scattering Intensity near the cubic-tetragonal
  phase transition in Strontium Titanate   Emphasizing the contribution of Professor Roger A Cowley, FRS to the Theory
of Raman Scattering from crystals, the development of the Theory of Raman
cattering since 1928 has been briefly discussed. Some experimental studies of
Strontium Titanate using Inelastic Neutron Scattering, Raman Scattering,
Electro- paramagnetic resonance measurement and X-ray & Gamma Ray techniques
has been briefly discussed. Using Schwabl's semi-phenomenological theory for
the soft mode and central peak, we have developed (a) a one-phonon Green's
function exhibiting the three peaked structure and (b) a two phonon Green's
function involving one hard mode under damped quasiharmonic phonon and one
three peaked soft-mode phonon. We have developed the pre-cursor order induced
Raman scattering near the displacive phase transition in terms of Green's
functions. Using Group Theory, we have predicted the Raman-active modes in
Strontium Titanate contributing to Critical Raman Scattering near hard-mode
frequencies above and below critical temperature. We have calculated the
Critical Integrated Raman Scattering Intensity and the Two-phonon Background
Raman Scattering Intensity near hard-mode frequencies above and below the
critical temperature. The results show the same trends as observed in some of
the experimental observations.

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The categories of this paper are: hep-ph
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The categories of this paper are: cs
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph