Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation

Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation

Bibliografische gegevens
Parent link:Soviet Physics Journal: Scientific Journal
Vol. 33, iss. 5.— 1990.— [P. 448-452]
Andere auteurs: Bagrov V. G. Vladislav Gavriilovich, Samsonov B. F., Shapovalov A. V. Aleksandr Vasilyevich, Shirokov I. V.
Samenvatting:Title screen
The problem of complex separation of variables in the wave equation is considered in four-dimensional Minkowskii space-time. In contrast to the known series of researches by Kalnins and Miller (see Ref. Zh., Fiz., 2B9 (1978); 1B208 and 1B209 (1979), e.g.), underlying this research is a theorem on the necessary and sufficient conditions of total separation of variables in the non-parabolic V. N. Shapovalov equation (Differents. Uravn.,16, No. 10, 1864–1874 (1980)). Nonequivalent complete sets of three differential first-order symmetry operators are constructed, appropriate coordinate systems are found, and complete separation of variables is performed in the wave equation
Режим доступа: по договору с организацией-держателем ресурса
Gepubliceerd in: 1990
Onderwerpen:
электронный ресурс
труды учёных ТПУ
Online toegang:http://link.springer.com/article/10.1007%2FBF00896088
Formaat: Elektronisch Hoofdstuk
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636646

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