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An Analogue of the Tunnel Effect in Classical Electrodynamics

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 71))

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.

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References

  1. Erber, T. (1961). “The classical theory of radiation reaction”, Fortschr. der Phys. ,9 pp.343–392.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Dirac, P.A.M. (1938). Proc. Royal Soc. (London) ,A167, pp.148–168.

    Article  ADS  Google Scholar 

  3. Bopp, F. (1943). Ann. der Phys. ,42 pp.573–608.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Haag, R. (1955). Z. Naturforsch. ,10 A (752).

    Google Scholar 

  5. Hale, J.K. and Stokes, A.P. (1962). J. Math. Phys. ,3 (70).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Baylis, W.E. and Huschilt, J. (1976). Phys. Rev. ,D13 pp.3237–3230.

    MathSciNet  ADS  Google Scholar 

  7. Plass, G.N. (1961). Rev. Mod. Phys. ,33 (37).

    Google Scholar 

  8. Rohrlich, F. (1965). Classical charged particles ,Addison-Wesley, Reading.

    MATH  Google Scholar 

  9. Carati, A., Delzanno, P., Galgani, L., Sassarini, J. (1994). “Nonuniqueness properties of the physical solutions of the Lorentz-Dirac equation”, Nonlinearity.

    Google Scholar 

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© 1995 Springer Science+Business Media Dordrecht

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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

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  • 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

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