Skip to main content
SpringerLink
Log in

Can the Klein-Gordon equation describe superluminal processes?

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

The possibility of a superluminal (namely, faster thanc) propagation of quantum particles is discussed in the context of the Klein-Gordon equation. It is found that physical conditions exist, univocally fixing the integration path in the inverse Fourier transform representing the wave packet. This path excludes at all superluminal components.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Enders A. andNimtz G.,J. Phys. I,2 (1992) 1693.

    Google Scholar 

  2. Enders A. andNimtz G.,J. Phys. I,3 (1993) 1089.

    Google Scholar 

  3. Nimtz G., Enders A. andSpieker H.,J. Phys. I,4 (1994) 1.

    MATH  Google Scholar 

  4. Hass K. andBush P.,Phys. Lett. A,185 (1994) 9.

    Article  ADS  Google Scholar 

  5. Enders A. andNimtz G.,Phys. Rev. E,48 (1993) 632.

    Article  ADS  Google Scholar 

  6. Low F. E. andMende P. F.,Ann. Phys. (N.Y.),210 (1993) 380.

    Article  MathSciNet  ADS  Google Scholar 

  7. Shiff L.,Quantum Mechanics (McGraw-Hill, New York, N.Y.) 1955.

    Google Scholar 

  8. Shay D. andMiller K. L.,Nuovo Cimento A,38 (1977) 490.

    Article  ADS  Google Scholar 

  9. Strnad J andKodre A.,Phys. Lett. A,51 (1975) 139.

    Article  ADS  MATH  Google Scholar 

  10. Band W.,Found. Phys.,18 (1988) 549.

    Article  ADS  Google Scholar 

  11. Fehsbach H andVillars F.,Rev. Mod. Phys.,30 (1958) 24.

    Article  MathSciNet  ADS  Google Scholar 

  12. Shay D. andMiller K. L., inTachyons, Monopoles and Related Topics, edited byE. Recami (North-Holland, Amsterdam) 1978, p. 189.

    Google Scholar 

  13. Fox R., Kuper C. G. andLipson S. G.,Nature,223 (1969) 597.

    Article  ADS  MATH  Google Scholar 

  14. Fox R., Kuper C. G. andLipson S. G.,Proc. R. Soc. London, Ser. A,316 (1970) 515.

    Article  ADS  Google Scholar 

  15. Stratton J. A.,Electromagnetic Theory (McGraw-Hill New York, N. Y.) 1941, Sect. 5.9, 5.10.

    Google Scholar 

  16. Shulman L. S.,Techniques and Applications of Path Integrals (Wiley, New York, N.Y.) 1981.

    Google Scholar 

  17. Moretti P.,Phys. Scr.,45 (1992) 18.

    Article  ADS  Google Scholar 

  18. Gel'fand I. M. andShilov G. E.,Generalized Functions (Academic Press, New York, N.Y.) 1964, Vol. I, Chapt. II.

    Google Scholar 

  19. Brillouin L.,Wave Propagation and Group Velocity (Academic Press, New York, N.Y.) 1960, Chapt. II, III.

    MATH  Google Scholar 

  20. Jackson J. D.,Classical Electrodynamics (Wiley, New York, N.Y.), 1962, Chapt. 7.

    Google Scholar 

  21. Bleistein N. andHandelsman R. A.,Asymptotic Expansions of Integrals (Dover, New York, N.Y.) 1986, Sect. 7.5.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Istituto di Ricerca sulle Onde Elettromagnetiche del CNR, Via Panciatichi 64, 50127, Firenze, Italy

    P. Moretti

  2. Università di Firenze, Dipartimento di Fisica, Via S. Marta 3, 50139, Sezione Fisica Superiore, Firenze, Italy

    A. Agresti

Authors
  1. P. Moretti
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Agresti
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moretti, P., Agresti, A. Can the Klein-Gordon equation describe superluminal processes?. Nuov Cim B 110, 905–912 (1995). https://doi.org/10.1007/BF02722859

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02722859

Keywords

Search

Navigation