Dirac Equation for Electron Channeling

  • H. Pilkuhn
  • A. H. Sørensen
Part of the NATO ASI Series book series (NSSB, volume 165)

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 pp + 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.

Keywords

Dirac Equation Transverse Energy Transverse Motion Zeeman Effect Landau Gauge 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    J. U. Andersen et al., Ann. Rev. Nucl. Part. Sci 33: 453 (1983).ADSCrossRefGoogle Scholar
  2. 2.
    J. U. Andersen et al., in: Coherent Radiation Sources, A. W. Sâenz and H. Überall, eds., Springer, Berlin (1985).Google Scholar
  3. 3.
    V. G. Bagrov et al., Exact Solutions of Relativistic Wave Equations, Nauka, Novosibirsk (1982). (in Russian)Google Scholar
  4. 4.
    V. G. Bagrov et al., Soy. Phys. JETP 59: 622 (1984).Google Scholar
  5. 5.
    H. Pilkuhn, Phys. Lett. A 113: 133 (1985).Google Scholar
  6. 6.
    A. A. Sokolov and I. M. Ternov, Synchrotron Radiation, Akademie-Verlag, Berlin (1968).Google Scholar
  7. 7.
    I. M. Ternov et al., Soy. Phys. JETP 61: 192 (1985).Google Scholar

Copyright information

© Springer Science+Business Media New York 1987

Authors and Affiliations

  • H. Pilkuhn
    • 1
  • A. H. Sørensen
    • 2
  1. 1.Institute für Theoretische KernphysikUniversität KarlsruheKarlsruheGermany
  2. 2.Institute of PhysicsUniversity of AarhusÅrhus CDenmark

Personalised recommendations