Stability of Coulomb systems with magnetic fields - II. The many-electron atom and the one-electron molecule

Elliott Lieb, Michael Loss

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

The analysis of the ground state energy of Coulomb systems interacting with magnetic fields, begun in Part I, is extended here to two cases. Case A: The many electron atom; Case B: One electron with arbitrarily many nuclei. As in Part I we prove that stability occurs if zα12/7<const (in case A) and zα2<const (in case B), (z{divides}e{divides}=nuclear charge, α=fine structure constant), but a new feature enters in case B. There one also requires α<const, regardless of the value of z.

Original languageEnglish (US)
Pages (from-to)271-282
Number of pages12
JournalCommunications in Mathematical Physics
Volume104
Issue number2
DOIs
StatePublished - Jun 1 1986

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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