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Polarization of spin-1 particles in a uniform magnetic field
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The Foldy-Wouthuysen Hamiltonian for the photon is defined by Eq. (40).
“As a result of derivations [68], the FW Hamiltonian is defined by”
From Zitterbewegung of massless particles (2022) · cites this paper as [68]
The passage labeled Abstract (p. 4) gives an exact FW Hamiltonian as Eq. (5) for spin-1 particles in a uniform magnetic field. It does not identify that Hamiltonian as a photon Hamiltonian or as Eq. (40), so those parts of the attribution are unsupported. (LLM, conf=0.87)
Experimental — accuracy not yet measuredThe Foldy-Wouthuysen transformation of the Dirac-like equation for the free electromagnetic field was carried out only in 2014 by Barnett.
“The FW transformation of Eq. (36) has been carried out only in 2014 by Barnett [68].”
From Zitterbewegung of massless particles (2022) · cites this paper as [68]
The discussion of the FW Hamiltonian (p. 4) concerns spin-1 particles interacting with a uniform magnetic field, not a Dirac-like equation for the free electromagnetic field. Searches for Barnett, 2014, and the free electromagnetic field found no passage addressing when that equation was transformed. (LLM, conf=0.76)
Experimental — accuracy not yet measured
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Research works printed but not linked: 20
- A.A. Sokolov, I.M. Ternov, Radiation from Relativistic Electrons (Am. Inst. Phys., New York, 1986)
- V.N. Baier, V.M. Katkov, V.S. Fadin, Radiation from Relativistic Electrons (Atomizdat, Moscow, 1973) (in Russian)
- A.J. Silenko, Czech. J. Phys. 51, 219–222 (2001) · DOI
- H.C. Corben, J. Schwinger, Phys. Rev. 58, 953–968 (1940) · DOI
- L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29–36 (1950) · DOI · Paper page
- S. Weinberg, in Lectures on Elementary Particles and Quantum Field Theory, ed. by S. Deser, M. Grisaru, H. Pendleton (MIT Press, Cambridge, 1970)
- I.B. Khriplovich, Z. Eksp. Teor. Fiz. 96, 385–390 (1989). Sov. Phys. J. Exp. Theor. Phys. 69, 217–219 (1989)
- S. Ferrara, M. Porrati, V.L. Telegdi, Phys. Rev. D 46, 3529–3537 (1992) · DOI
- A. Proca, C.R. Acad. Sci. Paris 202, 1490–1492 (1936)
- M. Taketani, S. Sakata, Proc. Phys. Math. Soc. Jpn. 22, 757–770 (1940)
- M. Taketani, S. Sakata, Progr. Theor. Phys. Suppl. 1, 84–97 (1955) · DOI
- J.A. Young, S.A. Bludman, Phys. Rev. 131, 2326–2334 (1963) · DOI
- J.P. Costella, B.H.J. McKellar, Am. J. Phys. 63, 1119–1121 (1995) · DOI
- A.J. Silenko, J. Math. Phys. 44, 2952–2966 (2003) · DOI
- A.J. Silenko, Phys. Rev. A 77, 012116 (2008) · DOI
- K.M. Case, Phys. Rev. 95, 1323–1328 (1954) · DOI
- A.J. Silenko, Z. Eksp. Teor. Fiz. 114, 1153–1161 (1998). J. Exp. Theor. Phys. 87, 629–633 (1998)
- A.J. Silenko, Z. Eksp. Teor. Fiz. 114, 448–457 (1998). J. Exp. Theor. Phys. 87, 246–250 (1998)
- A.J. Silenko, Z. Eksp. Teor. Fiz. 123, 883–890 (2003). J. Exp. Theor. Phys. 96, 775–781 (1998)
- A.J. Silenko, arXiv:hep-th/0404074 · arXiv
Cited by
Sorted by citations
Zitterbewegung of massless particles
Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11
“In particular, the bispinor-like wave functions have been successfully used for massive spin-1 particles [4, 29, 56, 57].”
MethodSelf-citation
Metadata
- Authors
- Silenko, A. J.
- Affiliations
- Belarusian State University (BY)
- Corresponding author
- Silenko, Alexander J.
- Venue
- The European Physical Journal C
- Published
- 2008-08-26
- Volume
- 57
- Issue
- 3
- Pages
- 595-599
- ISSN
- 1434-6044 (ISSN-L)
- 1434-6052
- OpenAlex
- W2084717383
- Cited by
- 10
- References
- 0
- Citations by year
- 2022: 1 · 2019: 1 · 2018: 1 · 2016: 1 · 2015: 2 · 2014: 1 · 2013: 3
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- The European Physical Journal C (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- BSU Digital Library (Belarusian State University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Belarusian Republican Foundation for Fundamental Research
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and Classical Electrodynamics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- spin-1 particles, polarization, uniform magnetic field, Foldy-Wouthuysen transformation, anomalous magnetic moment, high magnetic fields, spin dynamics
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