Difracción en el tiempo y la ecuación de Dirac

Abstract

The present note analyses the transient phenomena that appear when one opens a shutter for a beam of Dirac particles. The purpose of the analysis is to establish the time-dependent spinors which will be suitable for a dynamical description of the scattering of Dirac particles, following a procedure for spinless particles that was given elsewhere. The transient Dirac spinors are expressed in terms of Lommel functions of two variables and their asymptotic properties on the light cone and when \(t \rightarrow \infty\) are discussed. The behavior of the transient spinors under Lorentz transformations is analyzed