 04266 Thomas {\O}stergaard S{\o}rensen
 The large  $Z$ behaviour of pseudorelativistic atoms
(165K, LaTeX with 1 PS figure)
Aug 30, 04

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. In this paper we study the large  $Z$ behaviour of the ground
state energy of atoms with electrons having relativistic kinetic energy
$\sqrt{p^{2}c^{2}+m^{2}c^{4}}mc^{2}$. We prove that to leading order
in $Z$ the energy is the same as in the nonrelativistic case, given
by (nonrelativistic) ThomasFermi theory. For the problem to make
sense, we keep the product $Z\alpha$ fixed (here $\alpha$ is Sommerfeld's fine structure constant), and smaller than, or equal to, $2/\pi$, which means that as $Z$ tends to infinity, $\alpha$ tends to zero.
 Files:
04266.src(
04266.comments ,
04266.keywords ,
relTFmparc.tex ,
slutgraf.ps )