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On the continuity of the boosts for each orbit

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Abstract

The possibility of a continuous choice of the boost for each orbit is studied by making use of some mathematical theorems on fibre bundles and it is shown that this choice is possible only for massive particles.

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References

  1. Wigner, E. P.: Ann. Math.40, 149 (1939)

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  2. Simms, D. J.: Lie groups and Q.M. 52. Berlin-Heidelberg-New York: Springer 1968

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  3. Steenrod, N.: The topology of fibre bundles. Princeton: University Press 1951

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  4. Ruhl, W.: The Lorentz group and harmonic analysis. New York: W. A. Benjamin 1970

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Author notes

  1. Luis J. Boya

    Present address: Department of Theoretical Physics, Zaragoza University, Zaragoza

Authors and Affiliations

  1. Department of Theoretical Physics, Valladolid University, Valladolid, Spain

    Luis J. Boya, José F. Cariñena & Mariano Santander

Authors
  1. Luis J. Boya
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  2. José F. Cariñena
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  3. Mariano Santander
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Additional information

Communicated by R. Haag

Also G.I.F.T. Spain

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Boya, L.J., Cariñena, J.F. & Santander, M. On the continuity of the boosts for each orbit. Commun.Math. Phys. 37, 331–334 (1974). https://doi.org/10.1007/BF01645946

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  • DOI: https://doi.org/10.1007/BF01645946

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