Bounds on Diatomic Molecules in a Relativistic Model

Abstract

We consider diatomic systems in which the kinetic energy of the electrons is treated in a simple relativistic model. The Born-Oppenheimer approximation is assumed. We investigate questions of stability, deducing bounds on the number $N$ of electrons, the binding energy $\Delta E_b$ and the equilibrium bond distance $R_0$. We use a known localization argument adopted to the present relativistic setting, with particular consideration of the critical point of stability, as well as the recently proved relativistic Scott correction.

arXiv commentAccepted for Publication in J. Math. Phys. (http://jmp.aip.org/)

References in corpus (1)

• The large-Z behaviour of pseudo-relativistic atoms