Stability of coulomb systems with magnetic fields: I. The one-electron atom

Jürg Fröhlich, Elliott H. Lieb, Michael Loss

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The ground state energy of an atom in the presence of an external magnetic field B (with the electron spin-field interaction included) can be arbitrarily negative when B is arbitrarily large. We inquire whether stability can be restored by adding the self energy of the field, ∫B2. For a hydrogenic like atom we prove that there is a critical nuclear charge, z c, such that the atom is stable for z<zc and unstable for z>zc.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages405-424
Number of pages20
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Fröhlich, J., Lieb, E. H., & Loss, M. (2005). Stability of coulomb systems with magnetic fields: I. The one-electron atom. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 405-424). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_29