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

V. G. Bagrov, D. M. Gitman, V. N. Zadorozhnyi, P. M. Lavrov

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)283-289
Number of pages7
JournalSoviet Physics Journal
Volume20
Issue number3
DOIs
Publication statusPublished - Mar 1977

Fingerprint

plane waves
electrons
orthogonality
completeness
electromagnetic radiation
coding
formalism
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave. / Bagrov, V. G.; Gitman, D. M.; Zadorozhnyi, V. N.; Lavrov, P. M.

In: Soviet Physics Journal, Vol. 20, No. 3, 03.1977, p. 283-289.

Research output: Contribution to journalArticle

@article{5394c6dce622442ca05bb5dadd612443,
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 = "3",
doi = "10.1007/BF00894830",
language = "English",
volume = "20",
pages = "283--289",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "3",

}

TY - JOUR

T1 - Characteristic features of exact solutions of the problem of an electron in the quantized field of a plane wave

AU - Bagrov, V. G.

AU - Gitman, D. M.

AU - Zadorozhnyi, V. N.

AU - Lavrov, P. M.

PY - 1977/3

Y1 - 1977/3

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=34250296389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250296389&partnerID=8YFLogxK

U2 - 10.1007/BF00894830

DO - 10.1007/BF00894830

M3 - Article

VL - 20

SP - 283

EP - 289

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 3

ER -