Relativistic ponderomotive Hamiltonian of a Dirac particle in a vacuum laser field
Abstract
Here, we report a pointparticle ponderomotive model of a Dirac electron oscillating in a highfrequency field. Starting from the Dirac Lagrangian density, we derive a reduced phasespace Lagrangian that describes the relativistic timeaveraged dynamics of such a particle in a geometricaloptics 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 BargmannMichelTelegdi (BMT) spin dynamics, the SternGerlach spinorbital coupling, the conventional ponderomotive forces, and the interaction with largescale 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 spinorbital coupling is negligible. This model could be useful for studying laserplasma interactions in relativistic spin1/2 plasmas.
 Authors:

 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):
 PPPL5204
Journal ID: ISSN 10502947; PLRAAN
 Grant/Contract Number:
 DE274FG5208NA28553; AC0209CH11466; HDTRA11110037; 32CFR168a
 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 10502947
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Hamiltonian; laserplasma 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 pointparticle ponderomotive model of a Dirac electron oscillating in a highfrequency field. Starting from the Dirac Lagrangian density, we derive a reduced phasespace Lagrangian that describes the relativistic timeaveraged dynamics of such a particle in a geometricaloptics 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 BargmannMichelTelegdi (BMT) spin dynamics, the SternGerlach spinorbital coupling, the conventional ponderomotive forces, and the interaction with largescale 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 spinorbital coupling is negligible. This model could be useful for studying laserplasma interactions in relativistic spin1/2 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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