Geometric Theory of Radiation

  • Z. Ya. Turakulov
Part of the NATO ASI Series book series (NSSB, volume 358)

Abstract

Foundations of the standard theory of radiation by moving charge are analysed. The well-known difficulty concerned with energy conservation law is considered. An exact solution of Maxwell equations obtained by the method of variables separation, which expressses the field of a charge describing hyperbolic motion, is presented. Unlike the Lienard-Wiechert potentials for this case of motion, it displays abcence of radiation and, hence, does not lead to any difficulties mentioned above. It is concluded that exact solutions of Maxwell equations constitute the only correct approach to electromagnetic field of a moving charge. The new classical theory of radiation that may be composed on the basis of exact solutions seems to be purely geometric.

Keywords

Green Function Maxwell Equation Poynting Vector Variable Separation Retarded Green Function 
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References

  1. [1]
    J.D. Jackson, Classical Electrodynamics (Wiley, New York, 1962) 658.Google Scholar
  2. [2]
    W. Thirring. Classical Field Theory (Springer, New York 1979) 3.MATHGoogle Scholar
  3. [3]
    R. Peierls. Surprising in Theoretical Physics (Princeton University Press, New Jersey, 1979) 166.Google Scholar
  4. [4]
    W. Pauli, Theory of Relativity (Pergamon Press, New York, 1958) 93.MATHGoogle Scholar
  5. [5]
    A. Sommerfeld Elektrodynamik (Geesst & Portig, Leipzig, 1949) 256.Google Scholar
  6. [6]
    Z. Y. Turakulov, Turkish J. of Phys. 18 (1994) 479.Google Scholar
  7. [7]
    Z. Y. Turakulov, Geometry and Physics 14 (1994) 305.MathSciNetCrossRefGoogle Scholar
  8. [8]
    Z. Y. Turakulov, What Description of Radiation Follows from M. Born Solution of 1909? JINR preprint, to be published.Google Scholar

Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Z. Ya. Turakulov
    • 1
  1. 1.Institute of Nuclear PhysicsUlugbek, TashkentRep. of Uzbekistan, CIS

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