Classification of F algebras and noncommutative integration of the Klein-Gordon equation in Riemannian spaces
| Parent link: | Russian Physics Journal: Scientific Journal Vol. 36, iss. 1.— 1993.— [P. 36-40] |
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| Other Authors: | , , , |
| Summary: | 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 |
| Published: |
1993
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| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007%2FBF00559253 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636610 |