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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
203 _aText
_celectronic
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
463 _tVol. 18, iss. 8
_v[P. 1097-1101]
_d1975
610 1 _aэлектронный ресурс
610 1 _aтруды учёных ТПУ
700 1 _aGitman
_bD. M.
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
701 1 _aShvartsman
_bSh. M.
801 2 _aRU
_b63413507
_c20160323
_gRCR
856 4 _uhttp://dx.doi.org/10.1007/BF01110028
942 _cCF