One-electron relativistic molecules with coulomb interaction
Publication
, Journal Article
Daubechies, I; Lieb, EH
January 1, 2005
As an approximation to a relativistic one-electron molecule, we study the operator H=(-Δ+m2)1/2-e2 Z j|x-Rj|-1 with Zj0, e -2=137.04. H is bounded below if and only if e2 Z j>2/π, all j. Assuming this condition, the system is unstable when e2ΣZj>2/π in the sense that E 0=inf spec (H) → - ∞ as the Rj → 0, all j. We prove that the nuclear Coulomb repulsion more than restores stability; namely E0+0.069e2 ZiZj|R i-Rj|-10. We also show that E0 is an increasing function of the internuclear distances |Ri-R j|. © 2005 Springer-Verlag Berlin Heidelberg New York.
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Daubechies, I., & Lieb, E. H. (2005). One-electron relativistic molecules with coulomb interaction, 471–484. https://doi.org/10.1007/3-540-27056-6_33
Daubechies, I., and E. H. Lieb. “One-electron relativistic molecules with coulomb interaction,” January 1, 2005, 471–84. https://doi.org/10.1007/3-540-27056-6_33.
Daubechies I, Lieb EH. One-electron relativistic molecules with coulomb interaction. 2005 Jan 1;471–84.
Daubechies, I., and E. H. Lieb. One-electron relativistic molecules with coulomb interaction. Jan. 2005, pp. 471–84. Scopus, doi:10.1007/3-540-27056-6_33.
Daubechies I, Lieb EH. One-electron relativistic molecules with coulomb interaction. 2005 Jan 1;471–484.