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Dirac Equation for Electron Channeling

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Relativistic Channeling

Part of the book series: NATO ASI Series ((NSSB,volume 165))

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Abstract

It is well-known that the electron’s spin can be neglected in channeling. One may approximate the Dirac equation by an effective Schrödinger equation governing the motion transverse to a string or a plane. Here, the mass m is replaced by the energy E. (We shall put ħ = c = 1, E = (p2+m2)1/2 for a free particle of momentum p.) However, since the coupling to the electromagnetic field occurs by the replacement p → p + e A(t,r), the effective equation is not the best place for the introduction of the vector potential A. Besides, it may also be of interest to take a look at possible spin effects.

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References

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Author information

Authors and Affiliations

  1. Institute für Theoretische Kernphysik, Universität Karlsruhe, D-7500, Karlsruhe, Germany

    H. Pilkuhn

  2. Institute of Physics, University of Aarhus, DK-8000, Århus C, Denmark

    A. H. Sørensen

Authors
  1. H. Pilkuhn
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  2. A. H. Sørensen
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Editor information

Editors and Affiliations

  1. Fermi National Accelerator Laboratory, Batavia, Illinois, USA

    Richard A. Carrigan Jr.

  2. University of New Mexico, Albuquerque, New Mexico, USA

    James A. Ellison

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© 1987 Springer Science+Business Media New York

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Pilkuhn, H., Sørensen, A.H. (1987). Dirac Equation for Electron Channeling. In: Carrigan, R.A., Ellison, J.A. (eds) Relativistic Channeling. NATO ASI Series, vol 165. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6394-2_14

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  • DOI: https://doi.org/10.1007/978-1-4757-6394-2_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-3207-5

  • Online ISBN: 978-1-4757-6394-2

  • eBook Packages: Springer Book Archive

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