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Quasistationary quasi-energy states and convergence of perturbation series in a monochromatic field

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Literature Cited

  1. Ya. B. Zel'dovich, “Scattering and radiation of a quantum system in a strong electromagnetic field,” Usp. Fiz. Nauk,110, 139 (1973).

    Google Scholar 

  2. Ya. B. Zel'dovich, N. L. Manakov, and L. P. Rapoport, “Quasi-energy of a system subject to a periodic external perturbation,” Usp. Fiz. Nauk,117, 563 (1975).

    Google Scholar 

  3. N. L. Manakov, M. A. Preobrazhenskii, L. P. Rapoport, and A. G. Fainshtein, “Effects of the higher orders of perturbation theory for the shift and width of atomic levels in a light field,” Zh. Eksp. Teor. Fiz.,75, 1243 (1978).

    Google Scholar 

  4. L. P. Rapoport, B. A. Zon, and N. L. Manakov, Theory of Multiphoton Processes in Atoms [in Russian], Atomizdat, Moscow (1978).

    Google Scholar 

  5. N. L. Manakov and A. G. Fainshtein, “Ionization of a weakly bound particle and convergence of perturbation series in an alternating field,” Dokl. Akad. Nauk SSSR,244, 567 (1979).

    Google Scholar 

  6. N. L. Manakov and A. G. Fainshtein, “Decay of a weakly bound level in a monochromatic field,” Zh. Eksp. Teor. Fiz.,79, 751 (1980).

    Google Scholar 

  7. T. Kato, Perturbation Theory for Linear Operators, Springer, Berlin (1966).

    Google Scholar 

  8. L. D. Landau and E. M. Lifshitz, Quantum Mechanics, Pergamon Press, Oxford (1974).

    Google Scholar 

  9. N. L. Manakov, L. P. Rapoport, and A. G. Fainshtein, “Quasi-energy states of a two-dimensional rotator in the field of circularly polarized wave,” Teor. Mat. Fiz.,30, 395 (1977).

    Google Scholar 

  10. V. I. Ritus, “Quantum effects of the interaction of elementary particles with an intense electromagnetic field,” Tr. Fiz. Inst. Akad. Nauk SSSR,111, 5 (1979).

    Google Scholar 

  11. M. L. Goldberger and K. M. Watson, Collision Theory, New York (1964).

  12. V. N. Ostrovskii, “Multiphoton ionization, resonance scattering by a nonstationary potential, and complex poles of the S matrix,” Teor. Mat. Fiz.,33, 126 (1977).

    Google Scholar 

  13. A. I. Andryushin, A. E. Kazakov, and M. V. Fedorov, “Threshold singularities in the excitation and ionization of atoms by intense electromagnetic radiation,” Zh. Eksp. Teor. Fiz.,76, 1907 (1979).

    Google Scholar 

  14. G. A. Korn and T. M. Korn, Manual of Mathematics, New York (1967).

  15. A. I. Baz', Ya. B. Zel'dovich, and A. M. Perelomov, Scattering, Reactions and Decay in Nonrelativistic Quantum Mechanics, Jerusalem (1969).

  16. A. Hurwitz and R. Courant, The Theory of Functions [Russian translation], Nauka, Moscow (1968).

    Google Scholar 

  17. Yu. N. Demkov and G. F. Drukarev, “Decay and polarizability of a negative ion in an electric field,” Zh. Eksp. Teor. Fiz.,47, 918 (1964).

    Google Scholar 

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Voronezh State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol.48, No.3, pp.375–395, September, 1981.

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Manakov, N.L., Fainshtein, A.G. Quasistationary quasi-energy states and convergence of perturbation series in a monochromatic field. Theor Math Phys 48, 815–822 (1981). https://doi.org/10.1007/BF01019318

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