Cited by 12Quantum and Classical ElectrodynamicsQuantum Mechanics and ApplicationsRelativity and Gravitational Theory

Zitterbewegung of Bosons

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Silenko, A. J.·2020·Physics of Particles and Nuclei Letters

Abstract

Abstract Zitterbewegung of massive and massless scalar bosons and a massive Proca (spin-1) boson is analyzed. The equations describing the evolution of the velocity and position of the scalar boson in the generalized Feshbach–Villars representation and the corresponding equations for the massive Proca particle in the Sakata–Taketani representation are equivalent to each other and to the well-known equations for the Dirac particle. However, Zitterbewegung does not appear in the Foldy–Wouthuysen representation. Since the position and velocity operators in the Foldy–Wouthuysen representation and their transforms to other representations are the quantum-mechanical counterparts of the corresponding classical variables, Zitterbewegung is not observable.

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Crossref · 10.1134/s1547477120020193

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  • This conclusion agrees with previous studies [3-5,9-14] for massive particles.

    “This is the same conclusion which has been made in the previous studies [3-5,9-14].”

    From <i>Zitterbewegung</i> of massless particles (2022) · cites this paper as [3]

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Research works printed but not linked: 8

  1. [4]R. F. O'Connell, Rotation and spin in physics, in General Relativity and John Archibald Wheeler , edited by I. Ciufolini and R. Matzner (Springer, Berlin, 2010).
  2. [6]V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitayevskii, Quantum Electrodynamics , 2nd ed. (Pergamon, Oxford, 1982).
  3. [10]A. A. Deriglazov, Semiclassical description of relativistic spin without use of Grassmann variables and the Dirac equation, arXiv:1107.0273; Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung, Phys. Lett. A 376 , 309 (2012). · arXiv
  4. [15]M. E. Rose, Relativistic Electron Theory (Wiley, New York, 1961).
  5. [16]J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964), p. 52.
  6. [23]M. Taketani and S. Sakata, On the Wave Equation of Meson, Proc. Phys. Math. Soc. Japan 22 , 757 (1940).
  7. [26]V. M. Simulik, I. Yu. Krivsky, On the extended real Clifford-Dirac algebra and new physically meaningful symmetries of the Dirac equations with nonzero mass, Reports of the National Academy of Sciences of Ukraine, No. 5, 82 (2010).
  8. [29]V. M. Simulik, I. Yu. Krivsky, I. L. Lamer, Bosonic symmetries, solutions, and conservation laws for the Dirac equation with nonzero mass, Ukrainian Journal of Physics 58 , 523 (2013).

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Authors
Silenko, A. J.
Affiliations
Chinese Academy of Sciences (CN)
Corresponding author
Silenko, A. J.
Venue
Physics of Particles and Nuclei Letters
Published
2020-03
Volume
17
Issue
2
Pages
116-119
ISSN
  • 1531-8567 (ISSN-L)
  • 1547-4771
OpenAlex
W2994261032
Cited by
12
References
3
Citations by year
2024: 5 · 2023: 2 · 2022: 3 · 2021: 1 · 2020: 1
FWCI
0.71
Type
journal article
Language
en
Open access
Locations
  • Physics of Particles and Nuclei Letters (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • BSU Digital Library (Belarusian State University) (submittedVersion, cc-by)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
Keywords
Zitterbewegung, scalar bosons, Foldy-Wouthuysen representation, Dirac equation, spin-1 bosons

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