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The Klein-Gordon equation as a limiting case of a suitably hyperbolized schrödinger equation

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Abstract

We obtain a hyperbolic equation whose discontinuity waves are all exceptional and propagate with velocity λ. When λ → ∞ or λ=c, this equation becomes identical to the Schrödinger equation and to the Klein-Gordon equation respectively. We also show that λ is related to the dispersion relationE(p).

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References

  • Boillat, G. (1965).La propagation des ondes. Gauthier-Villars, Paris.

    Google Scholar 

  • Boillat, G. (1970).Lettere Nuovo Cimento,3, 521.

    Google Scholar 

  • Boillat, G. and Ruggeri, T. (1971).Rendiconti Accademia Nazionale Lincei,LI, 511.

    Google Scholar 

  • Donato, A. and Ruggeri, T. (1972).Rendiconti Accademia Nazionale Lincei,LIII, 208.

    Google Scholar 

  • Lax, P. D. (1954).Contribution to the Theory of Partial Differential Equations. Princeton University Press.

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Authors and Affiliations

  1. Istituto di Fisica dell'Universitá di Messina, 98100, Messina, Italy

    F. Borghese & P. Denti

  2. Istituto di Matematica dell'Universitá di Messina, 98100, Messina, Italy

    T. Ruggeri

Authors
  1. F. Borghese
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  2. P. Denti
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  3. T. Ruggeri
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Additional information

Work supported by the C.N.R., in part through the Gruppo Nazionale Struttura della Materia and in part through the Gruppo Nazionale per la Fisica Matematica.

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Borghese, F., Denti, P. & Ruggeri, T. The Klein-Gordon equation as a limiting case of a suitably hyperbolized schrödinger equation. Int J Theor Phys 9, 55–58 (1974). https://doi.org/10.1007/BF01807115

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  • DOI: https://doi.org/10.1007/BF01807115

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