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

Elliott H. Lieb, Michael Loss

Research output: Chapter in Book/Report/Conference proceedingChapter

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|e| = 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)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages425-436
Number of pages12
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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    Lieb, E. H., & Loss, M. (2005). Stability of coulomb systems with magnetic fields: II. The many-electron atom and the one-electron molecule. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 425-436). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_30