The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics
Mathematical Physics
2015-05-30 v1 High Energy Physics - Phenomenology
math.MP
Abstract
The probablity current for a quantum spinless relativistic particle is introduced based on the Hamiltonian dynamics approach utilizing the Salpeter equation as an alternative of the Klein-Gordon equation. The correctness of the presented formalism is illustrated by examples of exact solutions to the Salpeter equation including the new ones introduced in this work.
Keywords
Cite
@article{arxiv.1110.5146,
title = {The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics},
author = {K. Kowalski and J. Rembielinski},
journal= {arXiv preprint arXiv:1110.5146},
year = {2015}
}
Comments
10 PostScript figures