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Schrödinger’s equation as a consequence of zitterbewegung

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Lettere al Nuovo Cimento (1971-1985)

Summary

The Schrödinger equation is derived assuming that any particle is subject to a flickering motion (zitterbewegung) independent of external forces. The motion should be as that of a rocket emitting random bursts of jets with isotropic distribution and also subject to the external, deterministic forces.

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References

  1. E. Nelson:Phys. Rev.,150, 1079 (1966).

    Article  ADS  Google Scholar 

  2. C. Cavalleri:Phys. Rev. D,23, 363 (1981), where also a criticism of stochastic mechanics and in particular of the paper ot ref. (p) is given. An extension of eq. (1) to a free charge has been obtained byA. Rueda:Phys. Rev. A,23, 2020 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Surdin:Ann. Inst. Henri Poincare,15, 203 (1971) See alsoT. H. Boyer:Phys. Rev. D,11, 790, 809 (1975).

    ADS  Google Scholar 

  4. T. H. Boyer:Phys. Rev.,18, 1238 (1978);P. Claverie andS. Diner:Int. J. Quantum Chem.,2, Suppl.1, 41 (1977).

    Article  ADS  Google Scholar 

  5. P. Claverie andS. Diner:Int. J. Quantum Chem.,12, Suppl. 1, 41 (1977); P. Claverie:Proceedings of « Einstein Centennial Symposium on Fundamental Physics », edited byS. M. Moore,J. G. Rodriguez-Vargas,A. Rueda andG. Violini (Bogotá, 1979); inDynamical Systems and Micro-physics, edited byA. Blaquiere,F. Fer andA. Marzollo, CISM Courses and Lectures No. 261 (Springcr-Verlag, Now York, N. Y., 1980), P. 111;P. Claverie,L. Pesquera andF. Soto:Phys. Lett. A,80, 113 (1980);T. W. Marshall andP. Claverie:J. Math. Phys. (N. Y.),21, 1819 (1980).

    Google Scholar 

  6. D. Hestenes:J. Math. Phys. (N. Y.),16, 568 (1975);Am. J. Phys.,47, 399 (1979).

    Article  Google Scholar 

  7. G. Cavalleri andG. Spinelli:Nuovo Cimento B,39, 93 (1977);G. Cavalleri:Nuovo Cimento B,55, 392 (1980).

    Article  ADS  Google Scholar 

  8. A. Rueda andG. Cavalleri:Nuovo Cimento C,6, 239 (1983).

    Article  ADS  Google Scholar 

  9. A. O. Barut andA. J. Bracken:Phys. Rev. D,23, 2454 (1981);A. O. Barut andN. Zanghi:Phys. Rev. Lett.,52, 2009 (1984). A motion with the velocity of light has also been introduced byN. Cufaro Petroni andJ. P. Vigier:Int. J. Theor. Phys.,18, 807 (1979)

    Article  MathSciNet  ADS  Google Scholar 

  10. I. Pitowsky:Phys. Rev. Lett.,48, 1299 (1982);Phys. Rev. D,27, 2316 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  11. R. L. Seliger andG. B. Whithan:Proc. R. Soc. London, Ser. A,305, 1 (1968);E. A. Spiegel:Physica (Utrecht) D,1, 236 (1980).

    Article  ADS  MATH  Google Scholar 

  12. M. Lax:Rev. Mod. Phys.,38, 359, 541 (1966).

    Article  MathSciNet  ADS  Google Scholar 

  13. E. Santos:Nuovo Cimento B,59, 65 (1969). AlsoP. D. Raskin:Found. Phys.,8, 31 (1978)

    Article  ADS  Google Scholar 

  14. R. G. Newton:Am. J. Phys.,42, 1029 (1980).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Istituto di Matematica dell’ Università Cattolica, Brescia

    G. Cavalleri

  2. G.I.S.E., Segrate (Milano), Italia

    G. Cavalleri

Authors
  1. G. Cavalleri
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Cavalleri, G. Schrödinger’s equation as a consequence of zitterbewegung. Lett. Nuovo Cimento 43, 285–291 (1985). https://doi.org/10.1007/BF02751922

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  • DOI: https://doi.org/10.1007/BF02751922

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