Skip to main content
SpringerLink
Log in

Visualizing Nonlinear Electrodynamics

  • Chapter
Visualization and Mathematics

  • 550 Accesses

Summary

Visualizing phenomena in high dimensions requires a combination of equivariant mathematics and computer graphics. This paper applies the method of equivariant geometry, which involves Lie Groups and PDE’s, to the study of nonlinear electrodynamics. For the difficult calculations and for the graphics we used Maple.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. M. Born and L. Infeld, Foundations of the New Field Theory, Proc. Royal Society of London. Series A, Math. and Physical, 144 (1934), 425–451.

    Article  Google Scholar 

  2. R. Feynman, Feynman Lectures on Physics, Vol II: The Electromagnetic Field, Addison-Wesley, 1964.

    Google Scholar 

  3. G. Martin, Relation between charge and energy conservation in a nonlinear electrodynamics, Int. J. Theor. Phys. 26:9 (1987), 873–888.

    Article  MATH  Google Scholar 

  4. G. Martin, Dynamical Structure for k-Vector Fields, Int. J. Theor. Phys. 27:5 (1988), 571–585.

    Article  MATH  Google Scholar 

  5. G. Martin, Geometric Structures Approximated by Maxwell’s Equations, Int. J. Theor. Phys. 32:6 (1993), 985–1004.

    Article  MATH  Google Scholar 

  6. G. Martin, An overview of a geometric relativization of electrodynamics Preprint, to appear in conference proceedings, 1995.

    Google Scholar 

  7. G. Martin, Kinematic structure of topological singularities in an extended electrodynamics, Preprint, 1995.

    Google Scholar 

  8. J. Souriau, Structure des Systèmes Dynamique, Dunod, 1970.

    Google Scholar 

  9. Wasserman, Tensors and Manifolds, Oxford University Press, 1992.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Toledo, Toledo, Ohio, USA

    Geoffrey Martin & Ivan Sterling

Authors
  1. Geoffrey Martin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ivan Sterling
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Wissenschaftliche Visualisierung, Konrad-Zuse-Zentrum für Informationstechnik Berlin, Takustraße 7, D-14195, Berlin, Germany

    Hans-Christian Hege

  2. Fachbereich 3, Mathematik, Technische Universität Berlin, Straße des 17. Juni 136, D-10623, Berlin, Germany

    Konrad Polthier

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Martin, G., Sterling, I. (1997). Visualizing Nonlinear Electrodynamics. In: Hege, HC., Polthier, K. (eds) Visualization and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59195-2_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-59195-2_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-63891-6

  • Online ISBN: 978-3-642-59195-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation