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Nonlinear interaction of vibrational mode interactions in radiationless transitions

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Abstract

A method is proposed for calculating the transition probability in a two-level electron-vibration system, using a generating functional. Harmonic terms are used for the zeroth approximation. In the analysis of anharmonic terms the method makes it possible to transcend the limits of conventional perturbation theory with respect to the anharmonicity parameter. In the formulated cumulant expansion the method can be used to obtain a representation for the transition probability with allowance for convergence of the vibrational energy levels toward the dissociation limit.

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Authors and Affiliations

  1. Physics and Mathematics Branch, Bashkir Branch, Academy of Sciences of the USSR, USSR

    N. Kh. Bikbaev, A. I. Ivanov, G. S. Lomakin & O. A. Ponomarev

Authors
  1. N. Kh. Bikbaev
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  2. A. I. Ivanov
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  3. G. S. Lomakin
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  4. O. A. Ponomarev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 68–72, June 1981.

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Bikbaev, N.K., Ivanov, A.I., Lomakin, G.S. et al. Nonlinear interaction of vibrational mode interactions in radiationless transitions. Soviet Physics Journal 24, 543–547 (1981). https://doi.org/10.1007/BF00892954

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  • DOI: https://doi.org/10.1007/BF00892954

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