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TMF, 1979, Volume 40, Number 3, Pages 363–372 (Mi tmf2920)  

This article is cited in 8 scientific papers (total in 8 papers)

Equations of motion for scalar and spinor fields in a four-dimensional non-euclidean momentum space

I. P. Volobuev, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kassimov


Abstract: Equations of motion are obtained for a scalar and a spinor field in a four-dimensional non-Euclidean momentum space. They contain as a parameter a fundamental length $l$ and go over into the ordinary Klein–Gordon and Dirac equations in the limit $l\to0$. In the new formalism, an important part is played by the concept of a “vacuum momentum”, which is due to I. E. Tamm. The obtained equations remain invariant under spatial reflection only when the vacuum momentum is simultaneously transformed.

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English version:
Theoretical and Mathematical Physics, 1979, 40:3, 800–807

Bibliographic databases:

Received: 08.08.1977

Citation: I. P. Volobuev, V. G. Kadyshevskii, M. D. Mateev, R. M. Mir-Kassimov, “Equations of motion for scalar and spinor fields in a four-dimensional non-euclidean momentum space”, TMF, 40:3 (1979), 363–372; Theoret. and Math. Phys., 40:3 (1979), 800–807

Citation in format AMSBIB
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\paper Equations of motion for scalar and spinor fields in a~four-dimensional non-euclidean momentum space
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\yr 1979
\vol 40
\issue 3
\pages 363--372
\mathnet{http://mi.mathnet.ru/tmf2920}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=549746}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 40
\issue 3
\pages 800--807
\crossref{https://doi.org/10.1007/BF01032066}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JN17600006}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. D. Donkov, V. G. Kadyshevskii, M. D. Mateev, “Non-Euclidean momentum space and the two-body problem”, Theoret. and Math. Phys., 50:3 (1982), 236–243  mathnet  crossref  mathscinet  isi
    2. Zhukovsky V.Ch., Stepanov E.A., “Fermion MASS Generation via Kaluza-Klein Fermions Under the Influence of a Gauge Field Within a (2+1)-Dimensional Model”, Mosc. Univ. Phys. Bull., 67:2 (2012), 233–240  crossref  isi
    3. Zhukovskii V.Ch., Stepanov E.A., “Generatsii fermionnoi massy s uchastiem fermionov kalutsy-kleina pod vliyaniem kalibrovochnogo polya v modeli s 2+1 izmereniem”, Vestnik Moskovskogo universiteta. Seriya 3: Fizika. Astronomiya, 2012, no. 1, 58–64  elib
    4. V. N. Rodionov, G. A. Kravtsova, “Developing a non-Hermitian algebraic theory with the $\gamma_5$-extension of mass”, Theoret. and Math. Phys., 182:1 (2015), 100–113  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    5. V. Ch. Zhukovskii, E. A. Stepanov, “Fermion mass generation and induced current in low-dimensional models with nontrivial topology”, Theoret. and Math. Phys., 182:2 (2015), 246–263  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    6. Rodionov V.N. Kravtsova G.A., “An algebraic PT-symmetric quantum theory with a maximal mass”, Phys. Part. Nuclei, 47:2 (2016), 135–156  crossref  mathscinet  isi  elib  scopus
    7. Vasilij R.N. Galina K.A., “Non-Hermitian Quantum Theory With Maximal Mass”, 19Th International Seminar on High Energy Physics (Quarks-2016), Epj Web of Conferences, 125, ed. Andrianov V. Matveev V. Rubakov V. Kim V. Andrianov A. Fitkevich M., E D P Sciences, 2016, UNSP 05012  crossref  isi
    8. V. N. Rodionov, A. M. Mandel, G. A. Kravtsova, “Restriction of the fermion mass spectrum in $PT$-symmetric systems and its implications for studying dark matter”, Theoret. and Math. Phys., 198:3 (2019), 412–424  mathnet  crossref  crossref  elib
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