Electron wave functions in over-critical electrostatic potentials

B. Müller, J. Rafelski, W. Greiner

Research output: Contribution to journalArticlepeer-review

38 Scopus citations


The mathematical properties of the solutions of the Dirac equation in over-critical external potentials are investigated. The 1/r Coulomb potential is treated as the limit R → 0 of cut-off Coulomb potentials (R is the cut-off parameter). The results are interpreted in terms of quantum electrodynamics. A number of new physical phenomena occur in quantum electrodynamics of strong fields. One of the most interesting ones is the autoionization of positrons (energyless creation of electron-positron pairs) in over-critical external fields.

Original languageEnglish (US)
Pages (from-to)551-573
Number of pages23
JournalIl Nuovo Cimento A Series 11
Issue number3
StatePublished - Dec 1973

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics


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