Pure Coulomb tensor interaction in the Dirac equation
Quantum Physics
2019-05-31 v1 Mathematical Physics
math.MP
Abstract
In this work we compute bound solutions for particles and anti-particles of the Dirac equation for a pure tensor radial Coulomb potential plus a constant. We find that the binding depends on the sign the tensor constant potential, and allows only bound solutions for a certain sign and magnitude of the quantum number, which is related to the spin-orbit coupling in the Dirac equation. This relation is reversed for anti-particle solutions. On the other hand, the Coulomb tensor potential, although not biding, changes the range of values for which there are bound solutions.
Keywords
Cite
@article{arxiv.1905.13162,
title = {Pure Coulomb tensor interaction in the Dirac equation},
author = {M. G. Garcia and S. Pratapsi and P. Alberto and A. S. de Castro},
journal= {arXiv preprint arXiv:1905.13162},
year = {2019}
}
Comments
13 pages, 4 figures, uses revtex macros, accepted for publication in Phys. Rev. A