Electron wave functions in over-critical electrostatic potentials

B. Müller; J. Rafelski; W. Greiner

doi:10.1007/BF02722798

Electron wave functions in over-critical electrostatic potentials

B. Müller, J. Rafelski, W. Greiner

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	551-573
Number of pages	23
Journal	Il Nuovo Cimento A Series 11
Volume	18
Issue number	3
DOIs	https://doi.org/10.1007/BF02722798
State	Published - Dec 1973
Externally published	Yes

ASJC Scopus subject areas

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

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10.1007/BF02722798

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abstract = "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.",

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AU - Rafelski, J.

AU - Greiner, W.

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AB - 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.

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Electron wave functions in over-critical electrostatic potentials

Abstract

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