title: Inverse-scattering theory and the density perturbations from inflation.
abstract: 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.
authors.affiliation: T-8, University of California, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA.
authors.forename: Salman
authors.initials: S
authors.lastname: Habib
authors.forename: Katrin
authors.initials: K
authors.lastname: Heitmann
authors.forename: Gerard
authors.initials: G
authors.lastname: Jungman