The hydrogen atom as relativistic bound system
Abstract
The hydrogen atom as relativistic bound-state system of a proton and an electron in the complex-mass scheme is investigated. Interaction of a proton and an electron in the atom is described by the Lorentz-scalar Coulomb potential; the proton structure is taken into account. The concept of position dependent particle mass is developed. Relativistic wave equation for two interacting spinless particles is derived; asymptotic method is used to solve the equation. % Asymptotic solution of the equation for the system in the form of %standing wave and eigenmasses of the atom are obtained. Complex eigenmasses for the atom are obtained. The spin center-of-gravity energy levels for the atom are calculated and compared with ones obtained from solution of some known relativistic wave equations % the Shr\"odinger, Klein-Gordon and tabulated NIST data.
Cite
@article{arxiv.1903.07322,
title = {The hydrogen atom as relativistic bound system},
author = {Mikhail N. Sergeenko},
journal= {arXiv preprint arXiv:1903.07322},
year = {2019}
}
Comments
No figs/. arXiv admin note: text overlap with arXiv:1703.07766