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001 | 647021 | ||
005 | 20231030040747.0 | ||
035 | _a(RuTPU)RU\TPU\network\12158 | ||
090 | _a647021 | ||
100 | _a20160323a1975 k y0engy50 ba | ||
101 | 0 | _aeng | |
102 | _aUS | ||
135 | _adrnn ---uucaa | ||
181 | 0 | _ai | |
182 | 0 | _ab | |
200 | 1 |
_aCompleteness and orthogonality of the null plane of one class of solutions of the relativistic wave equations _fD. M. Gitman, V. M. Shakhmatov, Sh. M. Shvartsman |
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203 |
_aText _celectronic |
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300 | _aTitle screen | ||
320 | _a[References: 10 tit.] | ||
330 | _aPossible 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 | _aРежим доступа: по договору с организацией-держателем ресурса | ||
461 |
_tSoviet Physics Journal _oScientific Journal |
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463 |
_tVol. 18, iss. 8 _v[P. 1097-1101] _d1975 |
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610 | 1 | _aэлектронный ресурс | |
610 | 1 | _aтруды учёных ТПУ | |
700 | 1 |
_aGitman _bD. M. |
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701 | 1 |
_aShakhmatov _bV. M. _cmathematician _cassociate Professor of Tomsk Polytechnic University, candidate of physico-mathematical Sciences _f1949- _gValery Mikhailovich _2stltpush _3(RuTPU)RU\TPU\pers\36412 |
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701 | 1 |
_aShvartsman _bSh. M. |
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801 | 2 |
_aRU _b63413507 _c20160323 _gRCR |
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856 | 4 | _uhttp://dx.doi.org/10.1007/BF01110028 | |
942 | _cCF |