Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field

Ruiz, D. E.; Ellison, C. L.; Dodin, I. Y.

doi:10.1103/PhysRevA.92.062124

Title: Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field

Journal Article · Wed Dec 16 00:00:00 EST 2015 · Physical Review A - Atomic, Molecular, and Optical Physics

DOI:https://doi.org/10.1103/PhysRevA.92.062124· OSTI ID:1254730

^[1]; Ellison, C. L. ^[1]; Dodin, I. Y. ^[1]

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

Here, we report a point-particle ponderomotive model of a Dirac electron oscillating in a high-frequency field. Starting from the Dirac Lagrangian density, we derive a reduced phase-space Lagrangian that describes the relativistic time-averaged dynamics of such a particle in a geometrical-optics laser pulse propagating in vacuum. The pulse is allowed to have an arbitrarily large amplitude provided that radiation damping and pair production are negligible. The model captures the Bargmann-Michel-Telegdi (BMT) spin dynamics, the Stern-Gerlach spin-orbital coupling, the conventional ponderomotive forces, and the interaction with large-scale background fields (if any). Agreement with the BMT spin precession equation is shown numerically. The commonly known theory in which ponderomotive effects are incorporated in the particle effective mass is reproduced as a special case when the spin-orbital coupling is negligible. This model could be useful for studying laser-plasma interactions in relativistic spin-1/2 plasmas.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: DE274-FG52-08NA28553; AC02-09CH11466; HDTRA1-11-1-0037; 32-CFR-168a

OSTI ID:: 1254730

Alternate ID(s):: OSTI ID: 1234070

Report Number(s):: PPPL-5204; PLRAAN

Journal Information:: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 92, Issue 6; ISSN 1050-2947

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 7 works

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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

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Title: Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field

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