Transient effects in Wigner distribution phase space for a scattering problem

MOSHINSKY MARCOS (moshi@fisica.unam.mx)
UNIVERSIDAD NACIONAL AUTONOMA DE MEXICO
INSTITUTO DE FISICA
APARTADO POSTAL 20-364 01000
MEXICO, D.F. MEXICO

Abstract

At the Group24 Conference in July 2002 in Paris several researchers were interested in my analysis in Wigner distribution space of my work on diffraction in time. It was suggested that I should extend it when a potential is present and the simplest case is one dimensional with a delta function at the origin and the particles coming from the left with given momentum. In this paper wew carry the analysis of the transient effects of this problem using the Laplace transform. We discuss the similarities and differences of our problem in Wigner distribution phase space when compared with the case of diffraction in time.