Lagrangian geometrical optics of nonadiabatic vector waves and spin particles

Ruiz, D. E.; Dodin, I. Y.

doi:10.1016/j.physleta.2015.07.038

Title: Lagrangian geometrical optics of nonadiabatic vector waves and spin particles

Journal Article · Wed Jul 29 00:00:00 EDT 2015 · Physics Letters. A

DOI:https://doi.org/10.1016/j.physleta.2015.07.038· OSTI ID:1256634

^[1]; Dodin, I. Y. ^[1]

Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences

Linear vector waves, both quantum and classical, experience polarization-driven bending of ray trajectories and polarization dynamics that can be interpreted as the precession of the "wave spin". Here, both phenomena are governed by an effective gauge Hamiltonian vanishing in leading-order geometrical optics. This gauge Hamiltonian can be recognized as a generalization of the Stern-Gerlach Hamiltonian that is commonly known for spin-1/2 quantum particles. The corresponding reduced Lagrangians for continuous nondissipative waves and their geometrical-optics rays are derived from the fundamental wave Lagrangian. The resulting Euler-Lagrange equations can describe simultaneous interactions of N resonant modes, where N is arbitrary, and lead to equations for the wave spin, which happens to be an (N² - 1)-dimensional spin vector. As a special case, classical equations for a Dirac particle (N = 2) are deduced formally, without introducing additional postulates or interpretations, from the Dirac quantum Lagrangian with the Pauli term. The model reproduces the Bargmann-Michel-Telegdi equations with added Stern-Gerlach force.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: DE274-FG52-08NA28553; AC02-09CH11466; FA9550-11-C-0028

OSTI ID:: 1256634

Alternate ID(s):: OSTI ID: 1347252

Report Number(s):: PPPL-5144; PII: S0375960115006404

Journal Information:: Physics Letters. A, Vol. 379, Issue 38; ISSN 0375-9601

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 19 works

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Quasioptical modeling of wave beams with and without mode conversion. III. Numerical simulations of mode-converting beams Yanagihara, K.; Dodin, I. Y.; Kubo, S. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5095174	journal	July 2019
Quasioptical modeling of wave beams with and without mode conversion. II. Numerical simulations of single-mode beams Yanagihara, K.; Dodin, I. Y.; Kubo, S. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5095173	journal	July 2019
Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory Dodin, I. Y.; Ruiz, D. E.; Yanagihara, K. Physics of Plasmas, Vol. 26, Issue 7 https://doi.org/10.1063/1.5095076	journal	July 2019
Extending geometrical optics: A Lagrangian theory for vector waves Ruiz, D. E.; Dodin, I. Y. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4977537	journal	May 2017
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Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field Ruiz, D. E.; Ellison, C. L.; Dodin, I. Y. arXiv https://doi.org/10.48550/arxiv.1510.01268	text	January 2015
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Title: Lagrangian geometrical optics of nonadiabatic vector waves and spin particles

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