Completeness and orthogonality of the null plane of one class of solutions of the relativistic wave equations
| Parent link: | Soviet Physics Journal: Scientific Journal Vol. 18, iss. 8.— 1975.— [P. 1097-1101] |
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| Main Author: | |
| Other Authors: | , |
| Summary: | Title screen Possible redefinitions of the scalar product are analyzed for relativistic wave fields of the Klein-Gordon and Dirac types. It is shown that for an entire class of new exact solutions, for which it was previously not possible to define the usual scalar product on the x0=const plane, it is possible to find a correct scalar product on the null plane x0−x3=const. Orthogonality and completeness relations are proved for this scalar product. Possible applications of the results are discussed. Режим доступа: по договору с организацией-держателем ресурса |
| Language: | English |
| Published: |
1975
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/BF01110028 |
| Format: | Electronic Book Chapter |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=647021 |
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| 200 | 1 | |a Completeness and orthogonality of the null plane of one class of solutions of the relativistic wave equations |f D. M. Gitman, V. M. Shakhmatov, Sh. M. Shvartsman | |
| 203 | |a Text |c electronic | ||
| 300 | |a Title screen | ||
| 320 | |a [References: 10 tit.] | ||
| 330 | |a Possible redefinitions of the scalar product are analyzed for relativistic wave fields of the Klein-Gordon and Dirac types. It is shown that for an entire class of new exact solutions, for which it was previously not possible to define the usual scalar product on the x0=const plane, it is possible to find a correct scalar product on the null plane x0−x3=const. Orthogonality and completeness relations are proved for this scalar product. Possible applications of the results are discussed. | ||
| 333 | |a Режим доступа: по договору с организацией-держателем ресурса | ||
| 461 | |t Soviet Physics Journal |o Scientific Journal | ||
| 463 | |t Vol. 18, iss. 8 |v [P. 1097-1101] |d 1975 | ||
| 610 | 1 | |a электронный ресурс | |
| 610 | 1 | |a труды учёных ТПУ | |
| 700 | 1 | |a Gitman |b D. M. | |
| 701 | 1 | |a Shakhmatov |b V. M. |c mathematician |c associate Professor of Tomsk Polytechnic University, candidate of physico-mathematical Sciences |f 1949- |g Valery Mikhailovich |3 (RuTPU)RU\TPU\pers\36412 |9 19466 | |
| 701 | 1 | |a Shvartsman |b Sh. M. | |
| 801 | 2 | |a RU |b 63413507 |c 20160323 |g RCR | |
| 856 | 4 | |u http://dx.doi.org/10.1007/BF01110028 | |
| 942 | |c CF | ||