Zitterbewegung in quantum mechanics of Proca particles
Open accessAbstract
Zitterbewegung of a massive Proca (spin-1) boson is analyzed. The equations of motion of a massive Proca particle in the Sakata-Taketani representation are equivalent to the corresponding equations for the Dirac particle. However, Zitterbewegung does not appear in the Foldy-Wouthuysen representation. Zitterbewegung is not observable because the quantum-mechanical counterparts of the classical position and velocity are the position and velocity operators in the Foldy-Wouthuysen representation and their transforms to other representations.
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Equations of motion in the GFV representation for particles with arbitrary spin coincide with the corresponding equations for scalar particles and with Eqs. (27) and (28).
“The same derivations as in Ref. [4] show that equations of motions in this representation coincide with the corresponding equations [4] for scalar particles and with Eqs. (27) and (28).”
From <i>Zitterbewegung</i> of massless particles (2022) · cites this paper as [4]
Section 3 (pp. 3–4) states that the equations of motion for a free spin-1 Proca particle in the Sakata–Taketani representation are equivalent to those for scalar particles; the Discussion and summary (p. 4) reiterates this comparison. The paper does not establish the claim for arbitrary-spin particles in a GFV representation, and its corresponding equation is (17), not (27) or (28). (LLM, conf=0.86)
Experimental — accuracy not yet measuredThis 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 [4]
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 [5]
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Cites
ZITTERBEWEGUNG IS NOT AN OBSERVABLE
O'CONNELL, R. F. (2011) · Modern Physics Letters A · doi:10.1142/s0217732311034967 · Cited by 18 · see citing works
Flagged first, then by citations
Research works printed but not linked: 3
- O'Connell R F 2010 Rotation and spin in physics General Relativity and John Archibald Wheeler ed I Ciufolini and R Matzner (Berlin: Springer) pp 325-336
- Berestetskii V B, Lifshitz E M, and Pitayevskii L P 1982 Quantum Electrodynamics 2nd ed (Oxford: Pergamon)
- Taketani M and Sakata S 1940 On the Wave Equation of Meson Proc. Phys. Math. Soc. Japan 22 757
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<i>Zitterbewegung</i> of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11 · see citing works
“This effect is also known for a scalar particle [2–4] and for a massive Proca one [4, 5].”
BackgroundMethodSelf-citation
- Authors
- Silenko, A. J.
- Affiliations
- Chinese Academy of Sciences (CN)
- Corresponding author
- Silenko, Alexander J.
- Venue
- Journal of Physics: Conference Series
- Publisher
- IOP Publishing
- Published
- 2020-01-01
- Volume
- 1435
- Issue
- 1
- Pages
- 012057
- ISSN
- 1742-6588 (ISSN-L)
- 1742-6596
- OpenAlex
- W3000518089
- Cited by
- 3
- References
- 1
- Citations by year
- 2024: 1 · 2023: 1 · 2022: 1
- FWCI
- 2.32
- Type
- conference paper
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of Physics Conference Series (publishedVersion, cc-by)
- Digital Library of the Belarusian State University (Belarusian State University) (submittedVersion, cc-by)
- Funders
- Belarusian Republican Foundation for Fundamental Research (18D-002)
- National Natural Science Foundation of China (11805242, 11575254, 2016YFE0130800)
- Chinese Academy of Sciences (11575254)
- National Key Research and Development Program of China (11575254, 2016YFE0130800)
- 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, spin-1 bosons, massive spin-1 fields, Foldy-Wouthuysen transformation, Dirac equation, relativistic quantum mechanics
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