Special comparison theorem for the Dirac equation
Mathematical Physics
2008-11-26 v1 High Energy Physics - Theory
math.MP
Abstract
If a central vector potential V(r,a) in the Dirac equation is monotone in a parameter 'a', then a discrete eigenvalue E(a) is monotone in 'a'. For such a special class of comparisons, this generalizes an earlier comparison theorem that was restricted to node free states. Moreover, the present theorem applies to every discrete eigenvalue.
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Cite
@article{arxiv.0808.0486,
title = {Special comparison theorem for the Dirac equation},
author = {Richard L. Hall},
journal= {arXiv preprint arXiv:0808.0486},
year = {2008}
}
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3 pages