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Cited by 26Algebraic and Geometric AnalysisQuantum and Classical ElectrodynamicsRelativity and Gravitational Theory

Bosonic Symmetries, Solutions, and Conservation Laws for the Dirac Equation with Nonzero Mass

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Institute of Electron Physics, Nat. Acad. of Sci. of Ukraine (21, Universytets’ka Str., Uzhgorod 88000, Ukraine), Simulik, V.M., Krivsky, I.Yu., Institute of Electron Physics, Nat. Acad. of Sci. of Ukraine (21, Universytets’ka Str., Uzhgorod 88000, Ukraine), Lamer, I.L., Institute of Electron Physics, Nat. Acad. of Sci. of Ukraine (21, Universytets’ka Str., Uzhgorod 88000, Ukraine)·2013·Ukrainian Journal of Physics
DOI 10.15407/ujpe58.06.0523
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Abstract

In addition to the well-known Fermi properties of the Dirac equation, the hidden bosonic properties of this equation are found. The bosonic symmetries, solutions, and the conservation laws are under consideration. Such new features of the Dirac equation with nonzero mass are found with the help of the 64-dimensional extended real Clifford–Dirac algebra and 29-dimensional proper extended real Clifford–Dirac algebra. In this case, the start from the Foldy-Wouthuysen representation is of importance. It is shown that the Dirac equation can describe not only the fermionic but also the bosonic states.

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Authors
Institute of Electron Physics, N. A. O. S. O. U. (., Simulik, V. M., Krivsky, I. Y., Institute of Electron Physics, N. A. O. S. O. U. (., Lamer, I. L., & Institute of Electron Physics, N. A. O. S. O. U. (.
Affiliations
Institute of Electron Physics (UA)
Venue
Ukrainian Journal of Physics
Publisher
National Academy of Sciences of Ukraine (Co. LTD Ukrinformnauka) (Publications)
Published
2013-06
Volume
58
Issue
6
Pages
523-533
ISSN
  • 2071-0186 (ISSN-L)
  • 2071-0194
DOI
10.15407/ujpe58.06.0523
OpenAlex
W2730008485
Cited by
26
References
1
Citations by year
2025: 1 · 2023: 2 · 2022: 2 · 2021: 3 · 2020: 1 · 2019: 6 · 2018: 2 · 2017: 1 · 2016: 3 · 2015: 1 · 2014: 2 · 2013: 2
FWCI
4.87
Type
journal article
Language
en
Open access
Locations
Ukrainian Journal of Physics (publishedVersion)
Topics
  • Physical Sciences › Mathematics › Applied Mathematics › Algebraic and Geometric Analysis
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
Dirac equation, conservation laws, Foldy-Wouthuysen representation, fermionic states

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