Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave

Abstract

The physical and mathematical features of exact solutions of the problem of an electron moving in the field of a quantized, plane electromagnetic wave [1-4] are investigated. In particular, the problem of constructing solutions for all values of the total energy of the system is solved. A new interpretation is given to the limiting approach to Volkov solutions [5, 6]. The completeness and orthogonality of the solutions are proven in the reference plane formalism. The notation of [4] is used in this paper.

Original language	English
Pages (from-to)	283-289
Number of pages	7
Journal	Soviet Physics Journal
Volume	20
Issue number	3
DOIs	https://doi.org/10.1007/BF00894830
Publication status	Published - Mar 1977

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Physics and Astronomy(all)

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10.1007/BF00894830

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title = "Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave",

abstract = "The physical and mathematical features of exact solutions of the problem of an electron moving in the field of a quantized, plane electromagnetic wave [1-4] are investigated. In particular, the problem of constructing solutions for all values of the total energy of the system is solved. A new interpretation is given to the limiting approach to Volkov solutions [5, 6]. The completeness and orthogonality of the solutions are proven in the reference plane formalism. The notation of [4] is used in this paper.",

author = "Bagrov, {V. G.} and Gitman, {D. M.} and Zadorozhnyi, {V. N.} and Lavrov, {P. M.}",

year = "1977",

month = mar,

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AU - Lavrov, P. M.

PY - 1977/3

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AB - The physical and mathematical features of exact solutions of the problem of an electron moving in the field of a quantized, plane electromagnetic wave [1-4] are investigated. In particular, the problem of constructing solutions for all values of the total energy of the system is solved. A new interpretation is given to the limiting approach to Volkov solutions [5, 6]. The completeness and orthogonality of the solutions are proven in the reference plane formalism. The notation of [4] is used in this paper.

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Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave

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