### 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 |
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Pages (from-to) | 283-289 |

Number of pages | 7 |

Journal | Soviet Physics Journal |

Volume | 20 |

Issue number | 3 |

DOIs | |

Publication status | Published - Mar 1977 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Soviet Physics Journal*,

*20*(3), 283-289. https://doi.org/10.1007/BF00894830

**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.

Research output: Contribution to journal › Article

*Soviet Physics Journal*, vol. 20, no. 3, pp. 283-289. https://doi.org/10.1007/BF00894830

}

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

AN - SCOPUS:34250296389

VL - 20

SP - 283

EP - 289

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 3

ER -