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] |
|---|---|
| Altres autors: | , , , |
| Sumari: | 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: | anglès |
| Publicat: |
1993
|
| Matèries: | |
| Accés en línia: | http://link.springer.com/article/10.1007%2FBF00559253 |
| Format: | Electrònic Capítol de llibre |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636610 |
MARC
| LEADER | 00000nla0a2200000 4500 | ||
|---|---|---|---|
| 001 | 636610 | ||
| 005 | 20250401091649.0 | ||
| 035 | |a (RuTPU)RU\TPU\network\640 | ||
| 035 | |a RU\TPU\network\637 | ||
| 090 | |a 636610 | ||
| 100 | |a 20140219d1993 k||y0rusy50 ba | ||
| 101 | 0 | |a eng | |
| 102 | |a US | ||
| 135 | |a drnn ---uucaa | ||
| 181 | 0 | |a i | |
| 182 | 0 | |a b | |
| 200 | 1 | |a Classification of F algebras and noncommutative integration of the Klein-Gordon equation in Riemannian spaces |f O. L. Varaksin [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 40 (5 tit.)] | ||
| 330 | |a 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 | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Russian Physics Journal |o Scientific Journal | ||
| 463 | |t Vol. 36, iss. 1 |v [P. 36-40] |d 1993 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 701 | 1 | |a Varaksin |b O. L. | |
| 701 | 1 | |a Firstov |b V. V. | |
| 701 | 1 | |a Shapovalov |b A. V. |c mathematician |c Professor of Tomsk Polytechnic University, Doctor of physical and mathematical sciences |f 1949- |g Aleksandr Vasilyevich |3 (RuTPU)RU\TPU\pers\31734 | |
| 701 | 1 | |a Shirokov |b I. V. | |
| 801 | 2 | |a RU |b 63413507 |c 20180306 |g RCR | |
| 856 | 4 | |u http://link.springer.com/article/10.1007%2FBF00559253 | |
| 942 | |c CF | ||