Relativistic Lippmann - Schwinger equation
Mathematical Physics
2018-01-17 v1 Classical Analysis and ODEs
Dynamical Systems
math.MP
Quantum Physics
Abstract
The classical Lippmann-Schwinger equation plays an important role in the scattering theory (non-relativistic case, Schr\"odinger equation). In the present paper we consider the relativistic analogue of the Lippmann-Schwinger equation. We represent the corresponding equation in the integral form. Using this integral equation we investigate the stationary scattering problems (relativistic case, Dirac equation). We consider the dynamical scattering problems (relativistic case, Dirac equation) as well.
Keywords
Cite
@article{arxiv.1801.05370,
title = {Relativistic Lippmann - Schwinger equation},
author = {Lev Sakhnovich},
journal= {arXiv preprint arXiv:1801.05370},
year = {2018}
}