Separation of variables in the Klein-Gordon quation for superposition of a quantized and a classical field

V. N. Shapovalov, A. V. Shapovalov

Research output: Contribution to journalArticle

Abstract

A study is made of the problem of separation of variables in the Klein-Gordon equation for fields that are a superposition of a classical field and the field of a quantized plane wave. Six types of fields are found for which the Klein-Gordon equation reduces to a specific equation, the operators of creation and annihilation occurring quadratically in this equation.

Original languageEnglish
Pages (from-to)14-17
Number of pages4
JournalSoviet Physics Journal
Volume19
Issue number1
DOIs
Publication statusPublished - Jan 1976
Externally publishedYes

Fingerprint

Klein-Gordon equation
plane waves
operators

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Separation of variables in the Klein-Gordon quation for superposition of a quantized and a classical field. / Shapovalov, V. N.; Shapovalov, A. V.

In: Soviet Physics Journal, Vol. 19, No. 1, 01.1976, p. 14-17.

Research output: Contribution to journalArticle

@article{085acd9d75ae4b24b1b4865b09daec1c,
title = "Separation of variables in the Klein-Gordon quation for superposition of a quantized and a classical field",
abstract = "A study is made of the problem of separation of variables in the Klein-Gordon equation for fields that are a superposition of a classical field and the field of a quantized plane wave. Six types of fields are found for which the Klein-Gordon equation reduces to a specific equation, the operators of creation and annihilation occurring quadratically in this equation.",
author = "Shapovalov, {V. N.} and Shapovalov, {A. V.}",
year = "1976",
month = "1",
doi = "10.1007/BF00894306",
language = "English",
volume = "19",
pages = "14--17",
journal = "Russian Physics Journal",
issn = "1064-8887",
publisher = "Consultants Bureau",
number = "1",

}

TY - JOUR

T1 - Separation of variables in the Klein-Gordon quation for superposition of a quantized and a classical field

AU - Shapovalov, V. N.

AU - Shapovalov, A. V.

PY - 1976/1

Y1 - 1976/1

N2 - A study is made of the problem of separation of variables in the Klein-Gordon equation for fields that are a superposition of a classical field and the field of a quantized plane wave. Six types of fields are found for which the Klein-Gordon equation reduces to a specific equation, the operators of creation and annihilation occurring quadratically in this equation.

AB - A study is made of the problem of separation of variables in the Klein-Gordon equation for fields that are a superposition of a classical field and the field of a quantized plane wave. Six types of fields are found for which the Klein-Gordon equation reduces to a specific equation, the operators of creation and annihilation occurring quadratically in this equation.

UR - http://www.scopus.com/inward/record.url?scp=34250288012&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250288012&partnerID=8YFLogxK

U2 - 10.1007/BF00894306

DO - 10.1007/BF00894306

M3 - Article

VL - 19

SP - 14

EP - 17

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 1

ER -