Separation of variables in the Klein-gordon equations. III

Abstract

This paper supplements [1] and [2]. All kinds of external electromagnetic fields are found which contain arbitrary functions admitting complete separation of variables in the Klein-Gordon equations by using one first and two second order differential symmetry operators. The curvilinear coordinates in which the variables separate are presented, and equations in the separated variables are written down.

Original language	English
Pages (from-to)	812-815
Number of pages	4
Journal	Soviet Physics Journal
Volume	17
Issue number	6
DOIs	https://doi.org/10.1007/BF00890216
Publication status	Published - Jun 1974
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1007/BF00890216

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title = "Separation of variables in the Klein-gordon equations. III",

abstract = "This paper supplements [1] and [2]. All kinds of external electromagnetic fields are found which contain arbitrary functions admitting complete separation of variables in the Klein-Gordon equations by using one first and two second order differential symmetry operators. The curvilinear coordinates in which the variables separate are presented, and equations in the separated variables are written down.",

author = "Bagrov, {V. G.} and Meshkov, {A. G.} and Shapovalov, {V. N.} and Shapovalov, {A. V.}",

year = "1974",

month = jun,

doi = "10.1007/BF00890216",

language = "English",

volume = "17",

pages = "812--815",

journal = "Russian Physics Journal",

issn = "1064-8887",

publisher = "Consultants Bureau",

number = "6",

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AU - Shapovalov, V. N.

AU - Shapovalov, A. V.

PY - 1974/6

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N2 - This paper supplements [1] and [2]. All kinds of external electromagnetic fields are found which contain arbitrary functions admitting complete separation of variables in the Klein-Gordon equations by using one first and two second order differential symmetry operators. The curvilinear coordinates in which the variables separate are presented, and equations in the separated variables are written down.

AB - This paper supplements [1] and [2]. All kinds of external electromagnetic fields are found which contain arbitrary functions admitting complete separation of variables in the Klein-Gordon equations by using one first and two second order differential symmetry operators. The curvilinear coordinates in which the variables separate are presented, and equations in the separated variables are written down.

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