Abstract
We refer on some recent studies on classical electrodynamics of point particles, as described by the Abraham-Lorentz-Dirac equation. Such studies exploit positively the well known existence of generic runaway solutions. Indeed the additional requirement that has to be imposed, namely the restriction to initial data giving rise to nonrunaway behaviour, turns out to allow for unexpected phenomena, for example a behaviour qualitatively similar to that occurring in the quantum tunnel effect. It is pointed out how this fact might be relevant for the problem of hidden parameters.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Erber, T. (1961). “The classical theory of radiation reaction”, Fortschr. der Phys. ,9 pp.343–392.
Dirac, P.A.M. (1938). Proc. Royal Soc. (London) ,A167, pp.148–168.
Bopp, F. (1943). Ann. der Phys. ,42 pp.573–608.
Haag, R. (1955). Z. Naturforsch. ,10 A (752).
Hale, J.K. and Stokes, A.P. (1962). J. Math. Phys. ,3 (70).
Baylis, W.E. and Huschilt, J. (1976). Phys. Rev. ,D13 pp.3237–3230.
Plass, G.N. (1961). Rev. Mod. Phys. ,33 (37).
Rohrlich, F. (1965). Classical charged particles ,Addison-Wesley, Reading.
Carati, A., Delzanno, P., Galgani, L., Sassarini, J. (1994). “Nonuniqueness properties of the physical solutions of the Lorentz-Dirac equation”, Nonlinearity.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Carati, A., Galgani, L., Sassarini, J. (1995). An Analogue of the Tunnel Effect in Classical Electrodynamics. In: Garola, C., Rossi, A. (eds) The Foundations of Quantum Mechanics — Historical Analysis and Open Questions. Fundamental Theories of Physics, vol 71. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0029-8_7
Download citation
DOI: https://doi.org/10.1007/978-94-011-0029-8_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4017-4
Online ISBN: 978-94-011-0029-8
eBook Packages: Springer Book Archive