One-electron relativistic molecules with Coulomb interaction

Journal Article (Journal Article)

As an approximation to a relativistic one-electron molecule, we study the operator {Mathematical expression} with Zj≧0, e-2=137.04. H is bounded below if and only if e2Zj≦2/π all j. Assuming this condition, the system is unstable when e2∑Zj>2/π in the sense that E0=inf spec(H)→-∞ as the Rj→0, all j. We prove that the nuclear Coulomb repulsion more than restores stability; namely {Mathematical expression}. We also show that E0 is an increasing function of the internuclear distances |Ri-Rj|. © 1983 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Daubechies, I; Lieb, EH

Published Date

  • December 1, 1983

Published In

Volume / Issue

  • 90 / 4

Start / End Page

  • 497 - 510

Electronic International Standard Serial Number (EISSN)

  • 1432-0916

International Standard Serial Number (ISSN)

  • 0010-3616

Digital Object Identifier (DOI)

  • 10.1007/BF01216181

Citation Source

  • Scopus