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Asymptotic behaviour of a Dirac particle in a Coulomb field

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Il Nuovo Cimento A (1965-1970)

Summary

The asymptotic form for the wave-function of a spin-1/2 particle scattered by a Coulomb potential is discussed. A convergence theorem is proved establishing the existence of a generalized Møller wave-matrix. Problems remaining in the theory are mentioned.

Riassunto

Si discute la forma asintotica della funzione d'onda di una particella di spin 1/2 diffusa da un potenziale di Coulomb. Si dimostra un teorema di convergenza che afferma l’esistenza di una matrice d'onda di Møller generalizzata. Si elencano i rimanenti problemi della teoria.

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References

  1. J. Dollard:Journ. Math. Phys.,5, 729 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  2. R. T. Prosser:Journ. Math. Phys.,4, 1048 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  3. J. Cook:Journ. Math. and Phys.,36, 82 (1957).

    Article  Google Scholar 

  4. J. M. Jauch andJ. J. Zinnes:Nuovo Cimento,11, 553 (1959).

    Article  MathSciNet  Google Scholar 

  5. T. Ikebe:Arch. Rat. Mech. Anal.,5, 1 (1960).

    Article  MathSciNet  Google Scholar 

  6. T. Kato:Trans. Amer. Math. Soc.,70, 195 (1951).

    MathSciNet  Google Scholar 

  7. H. Araki:Einführung in die axiomatische Quantenfeldtheorie II (Zürich, 1962).

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Author notes

  1. J. Dollard

    Present address: Math. Department, University of Rochester, Rochester, N. Y., USA

  2. G. Velo (Nato Fellow)

    Present address: Institute of Physics of the University of Bologna, Bologna, Italy

Authors and Affiliations

  1. Palmer Physics Laboratory, Princeton, N.J., USA

    J. Dollard & G. Velo (Nato Fellow)

Authors
  1. J. Dollard
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  2. G. Velo
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Additional information

Traduzione a cura della Redazione.

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Dollard, J., Velo, G. Asymptotic behaviour of a Dirac particle in a Coulomb field. Nuovo Cimento A (1965-1970) 45, 801–812 (1966). https://doi.org/10.1007/BF02738369

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  • DOI: https://doi.org/10.1007/BF02738369

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