Skip to main content
SpringerLink
Log in

Topological Solitons in Nonlinear Electrodynamics

  • Conference paper
The Present Status of the Quantum Theory of Light

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 80))

  • 439 Accesses

Abstract

Massive topological solitons of integer spin arise in Maxwell’s electrodynamics with the nonlinear gauge condition of Dirac and Nambu. The absolutely conserved topological charge of the solitons can be identified to the electric charge. The states exist only when the electromagnetic field is endowed with quantized rotational collective degrees of freedom.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abraham, M., Ann. Phys. (Leipzig) 10, 105 (1903).

    MATH  Google Scholar 

  2. Lorentz, H. A., Theory of Electrons, Dover, New York (1952).

    Google Scholar 

  3. Born, M. and Infeld, L., Proc. Roy. Soc. A144, 425 (1934).

    ADS  Google Scholar 

  4. Podolsky, B., Phys. Rev. 62, 68 (1942). See also, F. Bopp, Ann. der Physik (Leipzig) 38, 345 (1940).

    Article  MathSciNet  ADS  Google Scholar 

  5. Righi, R. and Venturi, G., Int. Jour. of Theor. Phys. 21, 63 (1982); and references therein.

    Article  MathSciNet  Google Scholar 

  6. Rodrigues W. A., Vaz, J. and Recami, E., Found. of Phys. 23, 469 (1993).

    Article  MathSciNet  ADS  Google Scholar 

  7. Dirac, P.A.M., Proc. Roy. Soc. A209, 292 (1951); A212, 330 (1952), A223, 438 1954; Nature 168, 906 (1961). See also Schroedinger, E., Nature 169, 538 (1952).

    MathSciNet  ADS  Google Scholar 

  8. Nambu, Y., Prog. Theor. Phys., Suppl., Extra number, 190 (1968).

    Google Scholar 

  9. Skyrme, T. H. R., Proc. Roy. Soc. London, A260, 127 (1961).

    MathSciNet  ADS  Google Scholar 

  10. Barcelos-Neto, J., Galvão, C. A. P. and Natividade, C. P. Z. Phys. C52, 559 (1991).

    Google Scholar 

  11. Adkins G. S., Nappi, C. R. and Witten, E., Nucl. Phys. B228, 552 (1983).

    Article  ADS  Google Scholar 

  12. Jackson, J.D., Classical electrodynamics, Chapter 11, John Wiley & Sons.

    Google Scholar 

  13. Verscheide, H. and Verbecke, H., Nucl. Phys. A500, 573 (1989). For a calculation of the Casimir energy in the Skyrme model see Moussalam,M. and Kalafatis, D., Phys. Lett. B272, 196 (1991).

    ADS  Google Scholar 

  14. Milton, K. A., Ann. of Physics 127, 49 (1980).

    Article  MathSciNet  ADS  Google Scholar 

  15. Particle Data Group, Phys. Rev. D50, 1173 (1994).

    Google Scholar 

  16. Mikkenberg G., private communication.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem, 91904, Israel

    German Kälbermann

Authors
  1. German Kälbermann
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, York University, North York, Toronto, Canada

    Stanley Jeffers

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, Calcutta, India

    Sisir Roy

  3. Department of Physics, Université Pierre et Marie Curie, Paris, France

    Jean-Pierre Vigier

  4. Department of Chemistry, York University, North York, Toronto, Canada

    Geoffrey Hunter

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Kälbermann, G. (1997). Topological Solitons in Nonlinear Electrodynamics. In: Jeffers, S., Roy, S., Vigier, JP., Hunter, G. (eds) The Present Status of the Quantum Theory of Light. Fundamental Theories of Physics, vol 80. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5682-0_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-011-5682-0_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6396-8

  • Online ISBN: 978-94-011-5682-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation