The instantaneous impact approximation is considered with application to the processes stimulated by electron collisions with atoms and nuclei in fields of short laser pulses. It consists in calculation of the probabilities of processes for the known electron velocities determined by the initial conditions and the laser field at the current moment of time with subsequent integration of the differential reaction yield over the time during which the pulse acts. Conditions of applicability of the approximations for nonrelativistic and relativistic cases are determined. The examined method can be used mainly for calculation of nuclear reactions stimulated by the electron impact in laser fields of relativistic intensity.
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References
S. A. Akhmanov, V. A. Vysloukh, and A. S. Chirkin, Optics of Femtosecond Laser Pulses [in Russian], Nauka, Moscow (1988).
V. S. Belyaev, V. P. Krainov, V. S. Lisitsa, and A. P. Matafonov, Usp. Fiz. Nauk, 178, 823–847 (2008).
M. V. Sadovskii, Lectures in Quantum Theory [in Russian], Publishing House of Izhevsk Institute of Computer Sciences, Moscow; Izhevsk (2003).
A. M. Dykhne and G. L. Yudin, Usp. Fiz. Nauk, 125, 377–407 (1978).
P. A. Golovinskii, Zh. Eksp. Teor. Fiz., 103, No. 6, 1947–1958 (1993).
L. D. Landau and E. M. Lifshits, Quantum Mechanics [in Russian], Fizmatlit, Moscow (2008).
P. A. Golovinskii, Pis’ma Zh. Eksp. Teor. Fiz., 12, No. 8, 82–85 (1992).
A. V. Migdal, Qualitative Methods in Quantum Theory [in Russian], Nauka, Moscow (1975).
V. N. Popov, Continual Integrals in Quantum Field Theory and Statistical Physics [in Russian], Atomizdat, Moscow (1976).
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, Mc Graw-Hill Book Company, New York (1965).
J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics [Russian translation], Nauka, Moscow (1981).
L. Shiff, Quantum Mechanics, Mc Graw-Hill, New York (1955).
V. B. Berestetskii, E. M. Lifshits, and L. B. Pitaevskii, Quantum Electrodynamics [in Russian], Fizmatlit, Moscow (2006).
Yu. G. Pavlenko, Lectures in Theoretical Mechanics [in Russian], Fizmatlit, Moscow (2002).
P. A. Golovinskii and E. A. Mikhin, Proc. SPIE, 7993, 79931A (2010).
V. G. Bagrov, D. M. Gitman, I. M. Ternov, et al., Exact Solutions of Relativistic Wave Equations [in Russian], Nauka, Novosibirsk (1982).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 3–12, January, 2012.
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Golovinskii, P.A., Mikhin, E.A. Instantaneous impact approximation in laser fields of ultrashort duration. Russ Phys J 55, 127–137 (2012). https://doi.org/10.1007/s11182-012-9786-5
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DOI: https://doi.org/10.1007/s11182-012-9786-5