Ionization of a Particle with a Short-Range Potential Well

  • Nikolai B. Delone
  • Vladimir P. Krainov
Part of the Atoms+Plasmas book series (SSAOPP, volume 13)


Neutral Atom Electron Energy Spectrum External Electromagnetic Field Adiabaticity Parameter Nonlinear Ionization 
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Nonlinear ionization of a particle with a short-range potential well has been investigated theoretically for a long time. Unlike the case of a long-range potential, we can usually neglect a short-range potential in the wave function of a final continuum state and need only to take into account the external radiation field. This simplifies the theoretical description of the ionization process. As early as the mid-1960s, many subsequently well-known works were published on this subject. Besides the work of Keldysh [3.1] which we mentioned in previous chapters and is also discussed in detail below, we would like to call attention to references [3.2–4]; they are discussed in Delone and Krainov [3.5]. Of special interest is the work by Manakov and Rapoport [3.4] where the exact integral equation for the complex energy of an electron in a zero-range potential perturbed by a circularly polarized monochromatic field was derived and solved numerically. This equation was later considered in further detail by Manakov et al. [3.6].


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  1. 3.45
    C. Blondei, M. Crance, C. Delsart, A. Giraud: in Multiphoton Processes, ed. by G. Mainfray, P. Agostini, Proc. 5th Int. Conf., Paris, France, September 24–28, 1990 (CEA, Paris 1991), pp. 59–68Google Scholar
  2. 3.46
    C.Y. Tang, H.C. Bryant, P.G. Harris, A.H. Mohagheghi, R.A. Reeder, H. Sharifian, H. Toutounchi, C.R. Quick, J.B. Donahue, S. Cohen, W.W. Smith: In Multiphoton Processes, ed. by G. Mainfray, P. Agostini (CEA, Paris 1991), pp. 69–78Google Scholar
  3. 3.47
    Becker, S. Long, J.K. Mclver: Phys. Rev. A 42, 4416 (1990)ADSCrossRefGoogle Scholar
  4. 3.48
    C. Blondel, R. Trainham: J. Opt. Soc. Am. B 6, 1774 (1989)ADSCrossRefGoogle Scholar
  5. 3.49
    R. Trainham, G.D. Fletcher, N.B. Mansour, D.J. Larson: Phys. Rev. Lett.: 59, 2291 (1987).ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Nikolai B. Delone
    • 1
  • Vladimir P. Krainov
    • 2
  1. 1.General Physics InstituteRussian Academy of SciencesMoscowRussia
  2. 2.Department of Theoretical PhysicsMoscow Institute of Physics and TechnologyDolgopzudny Moscow RegionRussia

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