Bounds on diatomic molecules in a relativistic model

TY - JOUR

T1 - Bounds on diatomic molecules in a relativistic model

AU - Gilka, Natalie

PY - 2010/3

Y1 - 2010/3

N2 - 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 ΔE 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.

AB - 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 ΔE 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.

M3 - Journal article

SN - 0022-2488

VL - 51

SP - 032303-1 - 032303-13

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 3

ER -