Inverse-scattering theory and the density perturbations from inflation.
We show how to use inverse-scattering theory as the basis for the inflationary reconstruction program, the goal of which is to gain information about the physics which drives inflation. Inverse-scattering theory provides an effective and well-motivated procedure, having a sound mathematical basis and being of sufficient generality that it can be considered the foundation for a nonparametric reconstruction program. We show how simple properties of the power spectrum translate directly into statements about the evolution of the background geometry during inflation.
Habib
Salman
S
T-8, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
Heitmann
Katrin
K
Jungman
Gerard
G