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Intrinsic geometry of curves and the Bonnor’s equation

  • J. L. López-Bonilla
  • G. A. Ovando Z
  • J. M. Rivera-Rebolledo
Article
  • 26 Downloads

Abstract

The exact form of the paths of charged particles moving according to Bonnor’s equation, for the case of constant electromagnetic field, is found. The method employed is fully relativistic and is based on systematic use of the Frenet-Serret equations which determine the world line geometry in Minkowskian space.

Keywords

Frenet-Serret formulae charged particle path constant electromagnetic field Bonnor equation 

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References

  1. [1]
    Bonnor W,Proc. R. Soc. London A337 (1974) 591MathSciNetGoogle Scholar
  2. [2]
    Dirac P A M,Proc. R. Soc. London A167 (1938) 148Google Scholar
  3. [3]
    Gaftoi V, López-Bonilla J, Morales J and Rosales M A,J. Math. Phys. 35 (1994) 3482MATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    Jiménez J L,Ciencia 40 (1989) 257Google Scholar
  5. [5]
    Penney R,J. Math. Phys. 5 (1964) 1431MATHCrossRefMathSciNetGoogle Scholar
  6. [6]
    Piña E,Rev. Mex. Fís. 16 (1967) 233Google Scholar
  7. [7]
    Plass G N,Rev. Mod. Phys. 33 (1961) 37CrossRefMathSciNetGoogle Scholar
  8. [8]
    Ringermacher H I,Phys. Lett. 74A (1979) 381MathSciNetGoogle Scholar
  9. [9]
    Rohrlich F,Classical charged particles (1965) (New York: Addison-Wesley)MATHGoogle Scholar
  10. [10]
    Synge J L,Proc. R. Ir. Acad. A65 (1967) 27MathSciNetGoogle Scholar
  11. [11]
    Synge J L,Relativity: The special theory (1965) (North-Holland: Amsterdam)Google Scholar

Copyright information

© Indian Academy of Sciences 1997

Authors and Affiliations

  • J. L. López-Bonilla
    • 1
    • 2
  • G. A. Ovando Z
    • 1
    • 2
  • J. M. Rivera-Rebolledo
    • 1
    • 2
  1. 1.Area de Fisica, División de CBIUniversidad Autónoma Metropolitana-AzcapotzalcoMéxico
  2. 2.Departamento de FísicaEscuela Superior de Física y Matemáticas IPN UP ALM, Edif. 9LindavistaMéxico

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