Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation
| Parent link: | Soviet Physics Journal: Scientific Journal Vol. 33, iss. 5.— 1990.— [P. 448-452] |
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| Other Authors: | , , , |
| Summary: | 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 |
| Published: |
1990
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| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007%2FBF00896088 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636646 |