Dirac equation: the stationary and dynamical scattering problems
Mathematical Physics
2018-03-20 v1 Classical Analysis and ODEs
Dynamical Systems
math.MP
Spectral Theory
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1611.03458,
title = {Dirac equation: the stationary and dynamical scattering problems},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:1611.03458},
year = {2018}
}
Comments
The present paper develops further various results from arXiv:1602.07087. An open problem formulated in arXiv:1602.07087 is solved here