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Theory of quasielastic atomic reactions in the presence of an alternating electric field

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Abstract

We propose a variant of the theory of quasielastic (e, 2e) atomic reactions in the presence of a standing electromagnetic wave constructed in analogy with the stationary case. Along the way, we formulate mathematical problems that must be solved to justify this theory rigorously.

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References

  1. Yu. F. Smirnov and V. G. Neudatchin, JETP Lett., 3, 192–193 (1966).

    ADS  Google Scholar 

  2. E. Weigold and I. E. McCarthy, Electron Momentum Spectroscopy, Kluwer, New York (1999).

    Book  Google Scholar 

  3. V. G. Neudachin, Yu. V. Popov, and Yu. F. Smirnov, Phys. Uspekhi, 42, 1017–1044 (1999).

    Article  ADS  Google Scholar 

  4. V. L. Shablov, P. S. Vinitsky, Yu. V. Popov, O. Chuluunbaatar, and K. A. Kouzakov, Phys. Part. Nucl., 41, 335–357 (2010).

    Article  Google Scholar 

  5. L. V. Keldysh, Sov. Phys. JETP, 20, 1307–1314 (1965).

    MathSciNet  Google Scholar 

  6. A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, Sov. Phys. JETP, 23, 924–934 (1966).

    ADS  Google Scholar 

  7. A. M. Perelomov and V. S. Popov, Sov. Phys. JETP, 23, 118–129 (1966).

    ADS  Google Scholar 

  8. A. M. Perelomov, V. S. Popov, and M. V. Terent’ev, Sov. Phys. JETP, 24, 207–217 (1967).

    ADS  Google Scholar 

  9. N. M. Kroll and K. M. Watson, Phys. Rev. A, 8, 804–809 (1973).

    Article  ADS  Google Scholar 

  10. F. Ehlotzky, A. Jaro, and J. Z. Kaminski, Phys. Rep., 297, 63–153 (1998).

    Article  ADS  Google Scholar 

  11. S.-I. Chu, “Recent developments in semiclassical Floquet theories for intense-field multiphoton processes,” in: Advances in Atomic and Molecular Physics (D. R. Bates and B. Bederson, eds.), Vol. 21, Acad. Press, New York (1985), pp. 197–253.

    Article  ADS  Google Scholar 

  12. C. J. Joachain, N. J. Kylstra, and R. M. Potvliege, Atoms in Intense Laser Fields, Cambridge Univ. Press, Cambridge (2011).

    Book  Google Scholar 

  13. K. A. Kouzakov, Yu. V. Popov, and M. Takahashi, Phys. Rev. A, 82, 023410 (2010).

    Article  ADS  Google Scholar 

  14. A. A. Bulychev, K. A. Kouzakov, and Yu. V. Popov, Phys. Lett. A, 376, 484–487 (2012).

    Article  ADS  MATH  Google Scholar 

  15. A. A. Bulychev and K. A. Kouzakov, Eur. Phys. J. D, 68, 354 (2014).

    Article  ADS  Google Scholar 

  16. A. A. Bulychev and K. A. Kouzakov, Phys. Rev. A, 91, 023413 (2015).

    Article  ADS  Google Scholar 

  17. B. Lohmann and E. Weigold, Phys. Lett. A, 86, 139–141 (1981).

    Article  ADS  Google Scholar 

  18. D. M. Wolkow, Z. Phys., 94, 250–260 (1935).

    Article  ADS  Google Scholar 

  19. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory [in Russian], Nauka, Moscow (1968); English transl., Pergamon, Oxford (1974).

    Google Scholar 

  20. F. H. M. Faisal, J. Phys. B, 40, F145–F155 (2007).

    Article  ADS  MathSciNet  Google Scholar 

  21. M. Yamazaki, Y. Kasai, K. Oishi, H. Nakazawa, and M. Takahashi, Rev. Sci. Instrum., 84, 063105 (2013).

    Article  ADS  Google Scholar 

  22. Y. Masakazu, M. Yamazaki, K. Oishi, H. Nakazawa, C.-Y. Zhu, and M. Takahashi, Phys. Rev. Lett., 114, 103005 (2015).

    Article  ADS  Google Scholar 

  23. M. Dörr, C. J. Joachain, R. M. Potvliege, and S. Vučić, Phys. Rev. A, 49, 4852–4863 (1994).

    Article  ADS  Google Scholar 

  24. R. Shakeshaft and X. Tang, Phys. Rev. A, 36, 3193–3202 (1987).

    Article  ADS  MathSciNet  Google Scholar 

  25. X. Tang and R. Shakeshaft, Z. Phys. D, 5, 27–34 (1987).

    Article  ADS  Google Scholar 

  26. P. Krstic and M. H. Mittleman, Phys. Rev. A, 44, 5938–5946 (1991).

    Article  ADS  Google Scholar 

  27. J. Z. Kaminski, A. Jaron, and F. Ehlotzky, Phys. Rev. A, 53, 1756–1761 (1996).

    Article  ADS  Google Scholar 

  28. G. Duchateau, E. Cormier, and R. Gayet, Phys. Rev. A, 66, 023412 (2002).

    Article  ADS  Google Scholar 

  29. F. H. M. Faisal, “Atomic multi-photon interaction with intense short-wavelength fields,” in: Strong Field Laser Physics (Springer Ser. Opt. Sci., Vol. 134, T. Brabec, ed.), Springer, New York (2009), pp. 391–424.

    Article  ADS  Google Scholar 

  30. J. I. Gersten and M. H. Mittleman, Phys. Rev. A, 12, 1840–1845 (1975).

    Article  ADS  Google Scholar 

  31. V. P. Krainov, J. Opt. Soc. Amer. B, 14, 425–431 (1997).

    Article  ADS  Google Scholar 

  32. S. Gordienko and J. Meyer-ter-Vehn, SPIE Proc., 5228, 416–426 (2003).

    Article  ADS  Google Scholar 

  33. M.-Y. Zheng and S.-M. Li, Phys. Rev. A, 82, 023414 (2010).

    Article  ADS  Google Scholar 

  34. I. Ajana, A. Makhoute, D. Khalil, and A. Dubois, J. Phys. B, 47, 175001 (2014).

    Article  ADS  Google Scholar 

  35. J. D. Dollard, J. Math. Phys., 5, 729–738 (1964).

    Article  ADS  MathSciNet  Google Scholar 

  36. S. P. Merkuriev and L. D. Faddeev, Quantum Scattering Theory for Several Particle Systems [in Russian], Nauka, Moscow (1985); English transl.: L. D. Faddeev and S. P. Merkuriev (Math. Phys. Appl. Math., Vol. 11), Kluwer, Dordrecht (1993).

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Correspondence to Yu. V. Popov.

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This research was supported by the Russian Foundation for Basic Research (Grant No. 14-01-00420_a).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 186, No. 1, pp. 113–122, January, 2016.

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Popov, Y.V., Kouzakov, K.A., Bulychev, A.A. et al. Theory of quasielastic atomic reactions in the presence of an alternating electric field. Theor Math Phys 186, 93–100 (2016). https://doi.org/10.1134/S0040577916010086

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