Separation of variables in the Klein-gordon equations. III

V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, A. V. Shapovalov

Research output: Contribution to journal › Article

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

Fingerprint

ASJC Scopus subject areas

Physics and Astronomy(all)

Cite this

Bagrov, V. G., Meshkov, A. G., Shapovalov, V. N., & Shapovalov, A. V. (1974). Separation of variables in the Klein-gordon equations. III. Soviet Physics Journal, 17(6), 812-815. https://doi.org/10.1007/BF00890216

@article{093cdff92d864d3988b4d78fd30db4ee,

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 = "6",

doi = "10.1007/BF00890216",

language = "English",

volume = "17",

pages = "812--815",

journal = "Russian Physics Journal",

issn = "1064-8887",

publisher = "Consultants Bureau",

number = "6",

}

TY - JOUR

T1 - Separation of variables in the Klein-gordon equations. III

AU - Bagrov, V. G.

AU - Meshkov, A. G.

AU - Shapovalov, V. N.

AU - Shapovalov, A. V.

PY - 1974/6

Y1 - 1974/6

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.

UR - http://www.scopus.com/inward/record.url?scp=34250408121&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34250408121&partnerID=8YFLogxK

U2 - 10.1007/BF00890216

DO - 10.1007/BF00890216

M3 - Article

AN - SCOPUS:34250408121

VL - 17

SP - 812

EP - 815

JO - Russian Physics Journal

JF - Russian Physics Journal

SN - 1064-8887

IS - 6

ER -

Access to Document

10.1007/BF00890216