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 journalArticle

36 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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