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QUANTUM EQUATIONS FOR MASSLESS PARTICLES OF ANY SPIN

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Foundations of Physics Letters

Abstract

By decomposing the mass squared operator for zero mass particles of spin s we obtain one-particle quantum equations for any spin on which 2s−1 subsidiary conditions are imposed. The derived equations are consistent with the two component neutrino equation and the Maxwell equations. Subsidiary conditions for the spins 1, \(\frac{3}{2}\), and 2 are presented.

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REFERENCES

  1. A. Gersten, Found. Phys. Lett. 12, 291-8 (1999).

    Article  MathSciNet  Google Scholar 

  2. L. D. Landau and E. M. Lifshitz, Relativistic Quantum Theory (Pergamon, London, 1971).

    MATH  Google Scholar 

  3. H. Bacry, Localizability and Space in Quantum Physics (Springer, Paris, 1988).

    Book  MATH  Google Scholar 

  4. H. Bacry, Nuovo Cimento, A32, 448-60 (1976).

    Article  ADS  Google Scholar 

  5. P.A.M. Dirac, Proc. Roy. Soc A. 155, 447-59 (1936).

    Article  ADS  Google Scholar 

  6. V. Bargmann and E. P. Wigner, Proc. Nat. Acad. Sci. 34, 211 (1946).

    Article  ADS  MathSciNet  Google Scholar 

  7. S. Weinberg, Phys. Rev. B. 133, 1318 (1964); B 134, 882 (1964).

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  9. I. Bialynicki-Birula, Acta Phys. Polon. A 86, 97 (1994).

    Article  Google Scholar 

  10. S. Weinberg, Gravitation and Cosmology (Wiley, New York, 1972).

    Google Scholar 

  11. D. Lurié, Particles and Fields (Interscience, London, 1968).

    Google Scholar 

  12. J. M. Normand, A Lie Group: Rotations in Quantum Mechanics (North-Holland, Amsterdam, 1980).

    MATH  Google Scholar 

  13. U. Fano and G. Racah, Irreducible Tensorial Sets (Academic, New York, 1959).

    Google Scholar 

  14. A. de-Shalit and I. Talmi, Nuclear Shell Theory (Academic, New York, 1963).

    Google Scholar 

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Gersten, A. QUANTUM EQUATIONS FOR MASSLESS PARTICLES OF ANY SPIN. Found Phys Lett 13, 185–192 (2000). https://doi.org/10.1023/A:1007835617598

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  • DOI: https://doi.org/10.1023/A:1007835617598

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