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Derivation of relativistic wave equation from the Poisson process

  • Proceedings Of The Second Winter Institute On Foundations Of Quantum Theory And Quantum Optics
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Abstract

A Poisson process is one of the fundamental descriptions for relativistic particles: both fermions and bosons. A generalized linear photon wave equation in dispersive and homogeneous medium with dissipation is derived using the formulation of the Poisson process. This formulation provides a possible interpretation of the passage time of a photon moving in the medium, which never exceeds the speed of light in vacuum.

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References

  1. Magnolia Petroleum Company Colloquium Lectures in the Pure and Applied Sciences, No. 2, October, 1956

  2. M Kac, Rocky Mountain J. Math. 4, 497 (1974).

    Article  MATH  MathSciNet  Google Scholar 

  3. B Gaveau, T Jacobson, M Kac and L S Schulman, Phys. Rev. Lett. 53, 419 (1984)

    Article  ADS  MathSciNet  Google Scholar 

  4. B Gaveau and L S Sculman, Phys. Rev. D36, 1135 (1987)

    ADS  Google Scholar 

  5. D G C McKeon and G N Ord, Phys. Rev. Lett. 69, 3 (1992)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  6. T Kudo, I Ohba and H Nitta, Phys. Lett. A286, 227 (2001)

    ADS  MathSciNet  Google Scholar 

  7. I Bialynicki-Birula, Acta Phys. Polonica A86, 97 (1994)

    Google Scholar 

  8. J E Sipe, Phys. Rev. A52, 1875 (1995)

    ADS  Google Scholar 

  9. C DeWitt-Morette and S K Foong, Phys. Rev. Lett. 62, 2201 (1989)

    Article  ADS  MathSciNet  Google Scholar 

  10. D Mugnai, A Ranfagni, R Ruggeri and A Agresti, Phys. Rev. E49, 1771 (1994)

    ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Waseda University, 169-8555, Tokyo, Japan

    Tomoshige Kudo & Ichiro Ohba

  2. Advanced Research Center for Science and Technology, Waseda University, 169-8555, Tokyo, Japan

    Ichiro Ohba

  3. Kagami Memorial Laboratory for Materials Science and Technology, Waseda University, 169-0051, Tokyo, Japan

    Ichiro Ohba

Authors
  1. Tomoshige Kudo
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  2. Ichiro Ohba
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Kudo, T., Ohba, I. Derivation of relativistic wave equation from the Poisson process. Pramana - J Phys 59, 413–416 (2002). https://doi.org/10.1007/s12043-002-0135-z

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  • DOI: https://doi.org/10.1007/s12043-002-0135-z

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