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

Abstract

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.

Authors:
ORCiD logo [1];  [1];  [1]
  1. Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1254730
Alternate Identifier(s):
OSTI ID: 1234070
Report Number(s):
PPPL-5204
Journal ID: ISSN 1050-2947; PLRAAN
Grant/Contract Number:  
DE274-FG52-08NA28553; AC02-09CH11466; HDTRA1-11-1-0037; 32-CFR-168a
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Hamiltonian; laser-plasma interactions; nonlinear theories; ponderomotive force

Citation Formats

Ruiz, D. E., Ellison, C. L., and Dodin, I. Y. Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field. United States: N. p., 2015. Web. https://doi.org/10.1103/PhysRevA.92.062124.
Ruiz, D. E., Ellison, C. L., & Dodin, I. Y. Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field. United States. https://doi.org/10.1103/PhysRevA.92.062124
Ruiz, D. E., Ellison, C. L., and Dodin, I. Y. Wed . "Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field". United States. https://doi.org/10.1103/PhysRevA.92.062124. https://www.osti.gov/servlets/purl/1254730.
@article{osti_1254730,
title = {Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field},
author = {Ruiz, D. E. and Ellison, C. L. and Dodin, I. Y.},
abstractNote = {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.},
doi = {10.1103/PhysRevA.92.062124},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 6,
volume = 92,
place = {United States},
year = {2015},
month = {12}
}

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    Works referencing / citing this record:

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