Completeness and orthogonality of the null plane of one class of solutions of the relativistic wave equations

D. M. Gitman, V. M. Shakhmatov, Sh M. Shvartsman

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2 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1097-1101
Number of pages5
JournalSoviet Physics Journal
Issue number8
Publication statusPublished - Aug 1975


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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