Research output: Contribution to journal › Article

**Position, spin, and orbital angular momentum of a relativistic electron.** / Bliokh, KY; Dennis, Mark; Nori, Franco.

Research output: Contribution to journal › Article

Bliokh, KY, Dennis, M & Nori, F 2017, 'Position, spin, and orbital angular momentum of a relativistic electron', *Physical Review A: Atomic, Molecular and Optical Physics*, vol. 96, 023622. https://doi.org/10.1103/PhysRevA.96.023622

Bliokh, KY., Dennis, M., & Nori, F. (2017). Position, spin, and orbital angular momentum of a relativistic electron. *Physical Review A: Atomic, Molecular and Optical Physics*, *96*, [023622]. https://doi.org/10.1103/PhysRevA.96.023622

Bliokh KY, Dennis M, Nori F. Position, spin, and orbital angular momentum of a relativistic electron. Physical Review A: Atomic, Molecular and Optical Physics. 2017 Aug 28;96. 023622. https://doi.org/10.1103/PhysRevA.96.023622

@article{888fa0c741c149d2af3659e26c27dd92,

title = "Position, spin, and orbital angular momentum of a relativistic electron",

abstract = "Motivated by recent interest in relativistic electron vortex states, we revisit the spin and orbital angular momentum properties of Dirac electrons. These are uniquely determined by the choice of the position operator for a relativistic electron. We consider two main approaches discussed in the literature: (i) the projection of operators onto the positive-energy subspace, which removes the Zitterbewegung effects and correctly describes spin-orbit interaction effects, and (ii) the use of Newton-Wigner-Foldy-Wouthuysen operators based on the inverse Foldy-Wouthuysen transformation. We argue that the first approach [previously described in application to Dirac vortex beams in K. Y. Bliokh et al., Phys. Rev. Lett. 107, 174802 (2011)] has a more natural physical interpretation, including spin-orbit interactions and a nonsingular zero-mass limit, than the second one [S. M. Barnett, Phys. Rev. Lett. 118, 114802 (2017)].",

keywords = "Angular momentum of light, Relativistic wave equations, Spin-orbit coupling",

author = "KY Bliokh and Mark Dennis and Franco Nori",

year = "2017",

month = "8",

day = "28",

doi = "10.1103/PhysRevA.96.023622",

language = "English",

volume = "96",

journal = "Physical Review A: Atomic, Molecular and Optical Physics",

issn = "1050-2947",

publisher = "American Physical Society (APS)",

}

TY - JOUR

T1 - Position, spin, and orbital angular momentum of a relativistic electron

AU - Bliokh, KY

AU - Dennis, Mark

AU - Nori, Franco

PY - 2017/8/28

Y1 - 2017/8/28

N2 - Motivated by recent interest in relativistic electron vortex states, we revisit the spin and orbital angular momentum properties of Dirac electrons. These are uniquely determined by the choice of the position operator for a relativistic electron. We consider two main approaches discussed in the literature: (i) the projection of operators onto the positive-energy subspace, which removes the Zitterbewegung effects and correctly describes spin-orbit interaction effects, and (ii) the use of Newton-Wigner-Foldy-Wouthuysen operators based on the inverse Foldy-Wouthuysen transformation. We argue that the first approach [previously described in application to Dirac vortex beams in K. Y. Bliokh et al., Phys. Rev. Lett. 107, 174802 (2011)] has a more natural physical interpretation, including spin-orbit interactions and a nonsingular zero-mass limit, than the second one [S. M. Barnett, Phys. Rev. Lett. 118, 114802 (2017)].

AB - Motivated by recent interest in relativistic electron vortex states, we revisit the spin and orbital angular momentum properties of Dirac electrons. These are uniquely determined by the choice of the position operator for a relativistic electron. We consider two main approaches discussed in the literature: (i) the projection of operators onto the positive-energy subspace, which removes the Zitterbewegung effects and correctly describes spin-orbit interaction effects, and (ii) the use of Newton-Wigner-Foldy-Wouthuysen operators based on the inverse Foldy-Wouthuysen transformation. We argue that the first approach [previously described in application to Dirac vortex beams in K. Y. Bliokh et al., Phys. Rev. Lett. 107, 174802 (2011)] has a more natural physical interpretation, including spin-orbit interactions and a nonsingular zero-mass limit, than the second one [S. M. Barnett, Phys. Rev. Lett. 118, 114802 (2017)].

KW - Angular momentum of light

KW - Relativistic wave equations

KW - Spin-orbit coupling

U2 - 10.1103/PhysRevA.96.023622

DO - 10.1103/PhysRevA.96.023622

M3 - Article

VL - 96

JO - Physical Review A: Atomic, Molecular and Optical Physics

JF - Physical Review A: Atomic, Molecular and Optical Physics

SN - 1050-2947

M1 - 023622

ER -