Abstract
The adiabatic and postadiabatic approximations, as well as the adiabatic and nonstationary perturbation theories, are constructed using a canonical averaging method under the assumptions which are more general than those used in the existing theories. An asymptotic evaluation of the proximity of rigorous and approximate solutions is performed.
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References
M. Born and V. Fock, Z. Phys. 51, 165 (1928).
T. Kato, J. Phys. Soc. Jpn. 5, 435 (1950).
A. M. Dykhne, Zh. Éksp. Teor. Fiz. 38(2), 570 (1960) [Sov. Phys. JETP 11, 411 (1960)].
A. M. Dykhne, Zh. Éksp. Teor. Fiz. 41(4), 1324 (1961) [Sov. Phys. JETP 14, 941 (1962)].
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory (GIFML, Moscow, 1963; Pergamon, New York, 1977).
N. B. Delone and V. P. Krainov, Atom in a Strong Light Field (Énergoatomizdat, Moscow, 1984).
A. G. Chirkov and I. V. Kazinets, Pis’ma Zh. Tekh. Fiz. 26(8), 8 (2000) [Tech. Phys. Lett. 26, 318 (2000)].
S. I. Vinitskii, V. L. Derbov, V. N. Dubovik, et al., Usp. Fiz. Nauk 160(6), 1 (1990).
A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1962; Nauka, Moscow, 1979), Vol. 2.
V. I. Arnol’d, Supplementary Chapters of The Theory of Ordinary Differential Equations (Nauka, Moscow, 1978).
F. S. Los’, Ukr. Mat. Zh. 2(3), 87 (1950).
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Translated from Pis’ma v Zhurnal Tekhnichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 27, No. 3, 2001, pp. 14–21.
Original Russian Text Copyright © 2001 by Chirkov.
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Chirkov, A.G. On the adiabatic theorem in quantum mechanics. Tech. Phys. Lett. 27, 93–96 (2001). https://doi.org/10.1134/1.1352758
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DOI: https://doi.org/10.1134/1.1352758