Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation; Soviet Physics Journal; Vol. 33, iss. 5
| Parent link: | Soviet Physics Journal: Scientific Journal Vol. 33, iss. 5.— 1990.— [P. 448-452] |
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| Weitere Verfasser: | , , , |
| Zusammenfassung: | 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 |
| Sprache: | Englisch |
| Veröffentlicht: |
1990
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| Schlagworte: | |
| Online-Zugang: | http://link.springer.com/article/10.1007%2FBF00896088 |
| Format: | MixedMaterials Elektronisch Buchkapitel |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=636646 |
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| 200 | 1 | |a Commutative subalgebras of three first-order symmetry operators and separation of variables in the wave equation |f V. G. Bagrov [et al.] | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: p. 452 (11 tit.)] | ||
| 330 | |a 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 | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Soviet Physics Journal |o Scientific Journal | ||
| 463 | |t Vol. 33, iss. 5 |v [P. 448-452] |d 1990 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 701 | 1 | |a Bagrov |b V. G. |c physicist |c Professor of Tomsk state University |f 1938- |g Vladislav Gavriilovich |3 (RuTPU)RU\TPU\pers\38248 | |
| 701 | 1 | |a Samsonov |b B. F. | |
| 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 | |
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