paper

Dirac equation: the stationary and dynamical scattering problems

arXiv:1611.03458 · doi:10.1007/978-3-319-68849-7

Abstract

We prove that for the radial Dirac equation with Coulomb-type potential the generalized dynamical scattering operator coincides with the corresponding generalized stationary scattering operator. This fact is a quantum mechanical analogue of ergodic results in the classical mechanics.

The present paper develops further various results from arXiv:1602.07087. An open problem formulated in arXiv:1602.07087 is solved here