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An extreme-relativistic representation for Kemmer particles

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Il Nuovo Cimento (1955-1965)

Summary

An extreme-relativistic representation is obtained for spin 0 and 1 particles described by the Kemmer equation. Observables characteristic of these particles in this representation are derived.

Riassunto

Si ottiene una rappresentazione relativistica estrema per le particelle con spin 0 ed 1 descritte dall’equazione di Kemmer. Si deducono le caratteristiche osservabili di queste particelle in tale rappresentazione.

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References

  1. M. Cini andB. Touschek:Nuovo Cimento,7, 422 (1958).

    Article  MathSciNet  Google Scholar 

  2. C. G. Bollini andJ. J. Giambiagi:Nuovo Cimento,21, 107 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  3. Such an analogy was noticed also byM. E. Rose andR. H. Good jr.:Nuovo Cimento,22, 565 (1961).

    Article  MathSciNet  MATH  Google Scholar 

  4. L. L. Foldy andS. A. Wouthuysen:Phys. Rev.,78, 29 (1950).

    Article  ADS  MATH  Google Scholar 

  5. In a recent communication, to be published,Strocchi has obtained an E-representation for the Sakata-Taketani form (Sci. Pap. I.P.C.R.,38, 1 (1940)) of the Kemmer equation, and he has shown that in the limit of vanishing mass, this representation goes over directly into Maxwell’s equations, despite the fact that the Sakata-Taketani equation itself does not exist in this limit.

  6. L. M. Garrido andP. Pascual:Nuovo Cimento,12, 181 (1959).

    Article  MathSciNet  MATH  Google Scholar 

  7. N. Kemmer:Proc. Roy. Soc., A173, 91 (1939).

    Article  MathSciNet  ADS  Google Scholar 

  8. P. M. Mathews andA. Sankaranarayanan:Progr. Theor. Phys.,26, 499 (1961).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. P. M. Mathews andA. Sankaranarayanan:Progr. Theor. Phys.,27, 1063 (1962).

    Article  ADS  MATH  Google Scholar 

  10. P. M. Mathews andA. Sankaranarayanan:Observables of spin 0and spin 1particles (to be published).

  11. P. M. Mathews andA. Sankaranarayanan:Progr. Theor. Phys.,26, 1 (1961).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. The similarity in the position operator was noticed byPryce (Proc. Roy. Soc., A195, 62 (1948)) also, but we note that ourD-position operator in TableI does not have the non-Hermitian term present in Pryce’s formula forα. Incidentally, the above operator differs from the operator given byGarrido andPascual, who have apparently committed some error in calculation. A calculation byBardacki andAcharya (Nuovo Cimento,21, 802 (1961)) which is somewhat similar in spirit to ours, does not yield the correct results in the Kemmer case.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. L. L. Foldy:Phys. Rev.,102, 568 (1956).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Author notes

  1. P. M. Mathews

    Present address: the University of Madras, India

  2. A. Sankaranarayanan

    Present address: Department of Physics, Iowa State University, Ames, Ia.

Authors and Affiliations

  1. Department of Physics, University of Madras, Madras

    P. M. Mathews & A. Sankaranarayanan

Authors
  1. P. M. Mathews
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  2. A. Sankaranarayanan
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Mathews, P.M., Sankaranarayanan, A. An extreme-relativistic representation for Kemmer particles. Nuovo Cim 34, 101–105 (1964). https://doi.org/10.1007/BF02725873

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  • DOI: https://doi.org/10.1007/BF02725873

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