Classification of F algebras and noncommutative integration of the Klein-Gordon equation in Riemannian spaces

Classification of F algebras and noncommutative integration of the Klein-Gordon equation in Riemannian spaces

Detalhes bibliográficos
Parent link:Russian Physics Journal: Scientific Journal
Vol. 36, iss. 1.— 1993.— [P. 36-40]
Outros Autores: Varaksin O. L., Firstov V. V., Shapovalov A. V. Aleksandr Vasilyevich, Shirokov I. V.
Resumo:Title screen
The method of noncommutative integration of linear differential equations [A. V. Shapovalov and I. V. Shirokov, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 4, 116; No. 5, 100 (1991)] is used to integrate the Klein-Gordon equation in Riemannian spaces. The situation is investigated where the set of noncommuting symmetry operators of the Klein-Gordon equation consists of first-order operators and one second-order operator and forms a so-called F algebra, which generalizes the concept of a Lie algebra. The F algebra is a quadratic algebra in the given situation. A classification of four- and five-dimensional F algebras is given. The integration of the Klein-Gordon equation in a Riemannian space, which does not admit separation of variables, is demonstrated in a nontrivial example
Режим доступа: по договору с организацией-держателем ресурса
Idioma:inglês
Publicado em: 1993
Assuntos:
электронный ресурс
труды учёных ТПУ
Acesso em linha:http://link.springer.com/article/10.1007%2FBF00559253
Formato: Recurso Electrónico Capítulo de Livro
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636610

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