Advertisement

Peculiarities of Wigner Times Delay in Slow Elastic Electron Scattering by Potential Well with Arising Discrete Levels

  • M. Ya. AmusiaEmail author
  • A. S. Baltenkov
Article
  • 1 Downloads

Abstract

We have investigated here the specific features in the Wigner time delay behavior for slow electron elastic s-scattering by spherically symmetric square-potential wells. We have considered the potential wells, the small changes in the parameters of which lead to arising of bound states in the wells. It has been shown that the time delay for shallow potential well with no bound levels always has a positive value for small electron energies and changes its sign after level arising. It has been found that at the moments of the arising of the first and next s-levels in the well, the time delay of slow electrons scattered by potential well experiences instant jumps from a positive value to a negative one. The amplitudes of these jumps are the bigger, the smaller is the electron momentum k.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    L.E. Eisenbud, Ph. D. thesis, Princeton University, Princeton, USA (1948).Google Scholar
  2. 2.
    E.P. Wigner, Phys. Rev. 98, 145 (1955).ADSMathSciNetCrossRefGoogle Scholar
  3. 3.
    F.T. Smith, Phys. Rev. 118, 349 (1960).ADSMathSciNetCrossRefGoogle Scholar
  4. 4.
    R. Pazourek, S. Nagele, and J. Burgdärfer, Rev. Mod. Phys. 87, 765 (2015).ADSCrossRefGoogle Scholar
  5. 5.
    A. S. Kheifets, Phys. Rev. A 87, 063404 (2013).ADSCrossRefGoogle Scholar
  6. 6.
    P. Hockett, E. Frumker, D. M. Villeneuve, and P. B. Corkum, J. Phys. B 49, 095602 (2016).ADSCrossRefGoogle Scholar
  7. 7.
    M.Ya. Amusia and A. S. Baltenkov, J. Phys. B 52, 015101 (2019).ADSCrossRefGoogle Scholar
  8. 8.
    M.Ya. Amusia and A. S. Baltenkov, e-print ArXive 1901.00411 (2019).Google Scholar
  9. 9.
    L. D. Landau and E.M. Lifshitz, Quantum Mechanics, Non-Relativistic Theory, Pergamon Press, Oxford (1965).zbMATHGoogle Scholar
  10. 10.
    E.P. Wigner, Phys. Rev. 73, 1002 (1948).ADSCrossRefGoogle Scholar
  11. 11.
    M. Wellner, Am. J. Phys. 32, 787 (1964).ADSMathSciNetCrossRefGoogle Scholar
  12. 12.
    M.Ya. Amusia, L.V. Chernysheva, and V.G. Yarzhemsky, Handbook of theoretical Atomic Physics, Data for photon absorption, Electron Scattering, and vacancies decay, Springer, Berlin (2012), 812 p.Google Scholar

Copyright information

© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.Racah Institute of Physicsthe Hebrew UniversityJerusalemIsrael
  2. 2.Ioffe Physical-Technical InstituteSt. PetersburgRussia
  3. 3.Arifov Institute of Ion-Plasma and Laser TechnologiesTashkentUzbekistan

Personalised recommendations