Published July 1976
| Version v1
Journal article
The problem of runaway solutions in the Lorentz-Dirac theory
Description
A rigorous non-existence proof for runaway solutions in the finite-size model of the electron is given. Since a consistent point limit, such as the Lorentz-Dirac equation claims to be, should not exhibit features which are completely missing in the more general theory of finite extension, it is proposed that the point-like approximation of the finite-size theory be the integrodifferential formulation of the Lorentz-Dirac theory. This point of view is supported by a new discussion of the hyperbolic motion in the latter theory. (orig.)
Abstract (German)
In einem Modell endlicher Ausdehnung fuer das Elektron wird exakt nachgewiesen, dass Loesungen, fuer die das Elektron davonlaeuft, nicht existieren. Da eine stetige Punktgrenze - wie es die Lorentz-Dirac-Gleichung zu sein beansprucht - keine Merkmale aufweisen darf, die in der allgemeinen Theorie endlicher Ausdehnung voellig fehlen, wird vorgeschlagen, dass die punktartige Annaeherung an die Theorie fuer endliche Ausdehnung die Integral-Differential-Formulierung der Lorentz-Dirac-Theorie ist. Dieser Standpunkt wird durch eine neue Eroerterung der Hyperbelbewegung in der letzteren Theorie unterstuetzt. (orig.)Additional details
Identifiers
Publishing Information
- Journal Title
- Zeitschrift für Naturforschung A
- Journal Volume
- 31
- Journal Issue
- 7
- Series
- Z. Naturforsch., A.
- Journal Page Range
- 683-689
- ISSN
- 1865-7109
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 8284613
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ACCELERATION; DIRAC EQUATION; EQUATIONS OF MOTION; MASS RENORMALIZATION; PARTICLE RADII; RUNAWAY ELECTRONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; ELECTRONS; ELEMENTARY PARTICLES; EQUATIONS; FERMIONS; FIELD EQUATIONS; LEPTONS; PARTICLE PROPERTIES; RENORMALIZATION
Optional Information
- Notes
- 8 refs.; Updated automatically by Metadata and Full-Text Enrichment Agent