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

Jürg Fröhlich, Elliott H. Lieb, Michael Loss

Research output: Contribution to journalArticlepeer-review

103 Scopus citations

Abstract

The ground state energy of an atom in the presence of an external magnetic filed B (with the electron spin-field interaction included) can be arbitrarity 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, zc, such that the atom is stable for z<zc and unstable for z>zc.

Original languageEnglish (US)
Pages (from-to)251-270
Number of pages20
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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