Abstract
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 language | English |
|---|---|
| Pages (from-to) | 1097-1101 |
| Number of pages | 5 |
| Journal | Soviet Physics Journal |
| Volume | 18 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - Aug 1975 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Completeness and orthogonality of the null plane of one class of solutions of the relativistic wave equations. / Gitman, D. M.; Shakhmatov, V. M.; Shvartsman, Sh M.
In: Soviet Physics Journal, Vol. 18, No. 8, 08.1975, p. 1097-1101.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Completeness and orthogonality of the null plane of one class of solutions of the relativistic wave equations
AU - Gitman, D. M.
AU - Shakhmatov, V. M.
AU - Shvartsman, Sh M.
PY - 1975/8
Y1 - 1975/8
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=34250388158&partnerID=8YFLogxK
U2 - 10.1007/BF01110028
DO - 10.1007/BF01110028
M3 - Article
VL - 18
SP - 1097
EP - 1101
JO - Russian Physics Journal
JF - Russian Physics Journal
SN - 1064-8887
IS - 8
ER -