Gyromagnetic ratio and galilean symmetries in the light-cone formulation View Full Text


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Article Info

DATE

1976-10

AUTHORS

E. Elizalde, J. Gomis

ABSTRACT

The Galilean symmetries of the light-cone formulation of the wave equations are further exploited. The formulation in this frame of the Dirac, Bargmann-Wigner, Proca and Rarita-Schwinger equations is seen to give the Galilean invariant field equations of Levy-Leblond, and Hagen and Hurley. In the cases studied here, the two possible ways in which the symmetry of the LCF can be used,i.e. either obtaining first the Galilean invariant free equations from the relativistic ones in the LCF and introducing the minimal coupling there, or, as in the preceding paper, working with relativistic equations in the interacting case and using the Galilean symmetries of the LCF at the end of the calculations, give the same result, provided that the Galilean theory is the 6s + 1 minimal one. Otherwise, the first way proves to be the right one in order to get the usual resultg(s)=1/s for the gyromagnetic ratio. In fact the equations of Proca and Rarita-Schwinger, which do not give minimal Galilean theories, produce anomalous results forg(s) when they are treated in the second way. A general method is developed in order to get the good field variables in the LCF for every spin. A difference between the light-cone approach and that of the usual nonrelativistic limit of the relativistic theories is seen to be the fact that the first gives only the pure nonrelativistic structure (i.e. just the lowest-order term) of the theory. More... »

PAGES

347-366

References to SciGraph publications

  • 1976-10. Gyromagnetic ratio and galilean symmetries in the light-cone formulation in IL NUOVO CIMENTO A (1965-1970)
  • 1967-12. Nonrelativistic particles and wave equations in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1966-07. A lagrange formalism and the relativistic quantization of the Bargmann-Wigner fields in IL NUOVO CIMENTO A (1965-1970)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02730289

    DOI

    http://dx.doi.org/10.1007/bf02730289

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