Dirac eigenvalues for a softcore Coulomb potential in d dimensions
Mathematical Physics
2015-06-04 v1 math.MP
Atomic Physics
Abstract
A single fermion is bound by a softcore central Coulomb potential V(r) = -v/(r^q + b^q)^(1/q), v>0, b>0, q \ge 1, in d>1 spatial dimensions. Envelope theory is used to construct analytic lower bounds for the discrete Dirac energy spectrum. The results are compared to accurate eigenvalues obtained numerically.
Keywords
Cite
@article{arxiv.1202.1814,
title = {Dirac eigenvalues for a softcore Coulomb potential in d dimensions},
author = {Richard L. Hall and Petr Zorin},
journal= {arXiv preprint arXiv:1202.1814},
year = {2015}
}
Comments
8 pages 1 figure