Solution of the one-dimensional Dirac equation with a linear scalar potential
Quantum Physics
2015-06-26 v1
Abstract
We solve the Dirac equation in one space dimension for the case of a linear, Lorentz-scalar potential. This extends earlier work of Bhalerao and Ram [Am. J. Phys. 69 (7), 817-818 (2001)] by eliminating unnecessary constraints. The spectrum is shown to match smoothly to the nonrelativistic spectrum in a weak-coupling limit.
Keywords
Cite
@article{arxiv.quant-ph/0111011,
title = {Solution of the one-dimensional Dirac equation with a linear scalar potential},
author = {John R. Hiller},
journal= {arXiv preprint arXiv:quant-ph/0111011},
year = {2015}
}
Comments
7 pages, 1 figure, RevTEX