Scale-dependent power spectrum from initial excited-de Sitter modes
  In this paper, we calculate corrections of scalar perturbations spectra
resulting from excited-de Sitter modes as the nontrivial initial states. To
obtain these modes, we consider the asymptotic expansion of the Hankel
functions up to the higher order of 1/k{\tau} . Actually the Planck and WMAP
data impose some constrains on the Hankel function index. These observational
constraints and back-reaction effects stimulate us to use excited-de Sitter
modes. Finally, we nominate these nontrivial general solutions as the
fundamental mode functions during inflation and we calculate the corrected form
of scale-dependent power spectrum with trans-Planckian corrections, and in de
Sitter space-time limit the results reduce to the scale-invariant power
spectrum.
