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Solutions for the Massive Dirac Equation with Electric Potential, Employing a Biquaternionic Vekua Equation

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Transactions on Engineering Technologies

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Abstract

Employing quaternionic analysis and pseudoanalytic functions, we study the massive Dirac equation with electric potential, utilizing one relation with a hyper-complex Vekua equation, from which it is possible to obtain a new class of solutions, considering the elements of the so-called Taylor series in formal powers.

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References

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Acknowledgments

Marco Pedro Ramirez Tachiquin would like to acknowledge the support of Mantenimiento a Instalaciones Conservacion de Equipo e Inmuebles S.A. de C.V., Mexico.

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Authors and Affiliations

  1. Asaji Audio Internacional S.A. de C.V., Guadalupe I.R. 687, 16030, Mexico, C.P., Mexico

    Marco Pedro Ramirez Tachiquin

  2. The Engineering Faculty of Universidad La Salle, B. Franklin 47, 06140, Mexico, C.P., Mexico

    Vania Martinez Garza Garcia

Authors
  1. Marco Pedro Ramirez Tachiquin
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  2. Vania Martinez Garza Garcia
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Corresponding author

Correspondence to Marco Pedro Ramirez Tachiquin .

Editor information

Editors and Affiliations

  1. Computer & Communication, Catholic University of DaeGu Engineering College, DaeGu, Korea, Republic of (South Korea)

    Haeng Kon Kim

  2. College of Engineering, California State Polytechnic University, Pomona, California, USA

    Mahyar A. Amouzegar

  3. IAENG Secretariat, International Association of Engineers, Hong Kong, Hong Kong SAR

    Sio-long Ao

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Tachiquin, M.P.R., Garcia, V.M.G. (2015). Solutions for the Massive Dirac Equation with Electric Potential, Employing a Biquaternionic Vekua Equation. In: Kim, H., Amouzegar, M., Ao, Sl. (eds) Transactions on Engineering Technologies. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-7236-5_9

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  • DOI: https://doi.org/10.1007/978-94-017-7236-5_9

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-017-7235-8

  • Online ISBN: 978-94-017-7236-5

  • eBook Packages: EngineeringEngineering (R0)

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