Thomas precession, spin-orbit interaction, and Berry’s phase
Abstract
The spin-orbit interaction is shown to arise as a Berry phase term in the adiabatic effective Hamiltonian for the orbital motion of a Dirac electron. This approach makes explicit the intimate connection of the spin-orbit interaction and Thomas precession.
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The intrinsic SOI of light originate from fundamental properties of the Maxwell equations and are analogous to the spin-orbit interactions of relativistic quantum particles and electrons in solids.
“The intrinsic SOI of light originate from fundamental properties of the Maxwell equations 7,8 and are analogous to the spin-orbit interactions of relativistic quantum particles 2,9,10 and electrons in solids 11,12 .”
From Spin–orbit interactions of light (2015) · cites this paper as [9]
Cites
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252 · see citing works
On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit
Foldy, L. L., & Wouthuysen, S. A. (1950) · Physical Review · doi:10.1103/physrev.78.29 · Cited by 2,183 · see citing works
Appearance of Gauge Structure in Simple Dynamical Systems
Wilczek, F., & Zee, A. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.2111 · Cited by 1,775 · see citing works
The Motion of the Spinning Electron
Thomas, L. H. (1926) · Nature · doi:10.1038/117514a0 · Cited by 755 · see citing works
Direct calculation of the Berry phase for spins and helicities
Jordan, T. F. (1987) · Journal of Mathematical Physics · doi:10.1063/1.527486 · Cited by 23 · see citing works
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Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277 · see citing works
Spin–orbit interactions of light
Bliokh, K. Y., Rodríguez-Fortuño, F. J., Nori, F., & Zayats, A. V. (2015) · Nature Photonics · doi:10.1038/nphoton.2015.201 · Cited by 2,276 · see citing works
Geometrodynamics of spinning light
Bliokh, K. Y., Niv, A., Kleiner, V., & Hasman, E. (2008) · Nature Photonics · doi:10.1038/nphoton.2008.229 · Cited by 615 · see citing works
Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
Bliokh, K. Y. (2009) · Journal of Optics A: Pure and Applied Optics · doi:10.1088/1464-4258/11/9/094009 · Cited by 217 · see citing works
Spin Hall effect and Berry phase of spinning particles
Bérard, A., & Mohrbach, H. (2006) · Physics Letters A · doi:10.1016/j.physleta.2005.11.071 · Cited by 144 · see citing works
Semi-relativistic effects in spin-1/2 quantum plasmas
Asenjo, F. A., Zamanian, J., Marklund, M., Brodin, G., & Johansson, P. (2012) · New Journal of Physics · doi:10.1088/1367-2630/14/7/073042 · Cited by 85 · see citing works
Polarization transport of transverse acoustic waves: Berry phase and spin Hall effect of phonons
Bliokh, K. Y., & Freilikher, V. D. (2006) · Physical Review B · doi:10.1103/physrevb.74.174302 · Cited by 55 · see citing works
Spin-orbit interactions of light in isotropic media
Bliokh, K. Y., Aiello, A., & Alonso, M. A. (2012) · The Angular Momentum of Light · doi:10.1017/cbo9780511795213.009 · Cited by 20 · see citing works
Spin-orbit interactions of light
Bliokh, K. Y., Rodriguez-Fortuno, F. J., Nori, F., & Zayats, A. V. (2015) · arXiv
- Authors
- Mathur, H.
- Affiliations
- Yale University (US)
- Corresponding author
- Mathur, Harsh
- ORCID
- Mathur, Harsh
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1991-12-09
- Volume
- 67
- Issue
- 24
- Pages
- 3325-3327
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1983598020
- Cited by
- 87
- References
- 5
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 3 · 2023: 1 · 2022: 1 · 2020: 3 · 2019: 5 · 2018: 3 · 2017: 4 · 2016: 1 · 2015: 5 · 2014: 1 · 2013: 1 · 2012: 3
- FWCI
- 1.60
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- Topics
- 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
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Thomas precession, spin-orbit coupling, Berry phase, Dirac fermions, orbital motion, spin precession
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