Bounds on Diatomic Molecules in a Relativistic Model

Details Bounds on Diatomic Molecules in a Relativistic Model Bounds on Diatomic Molecules in a Relativistic Model

2010-03-15

arxiv.org/abs/1003.2891v2

Physics

Mathematical Physics

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

Scientific paper

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.

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