Relativistic Molecules with Coulomb Interaction

Ingrid Daubechies, Elliot H. Lieb

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


As an approximation to a relativistic one-electron molecule, we study the operator, with Zj≥ 0 for all j. H is bounded below iff for all j. Under this condition, we show that 1) The system is stable when the nuclear repulsion is taken into account, i.e., where E0 inf spec H.2) the ground state energy E0is an increasing function of the internuclear distances | Rj- Rk.

Original languageEnglish (US)
Pages (from-to)143-148
Number of pages6
JournalNorth-Holland Mathematics Studies
Issue numberC
StatePublished - Jan 1 1984

All Science Journal Classification (ASJC) codes

  • General Mathematics


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