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

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:

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

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

Publication Date:: 2015-12-16

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.  doi:10.1103/PhysRevA.92.062124.

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                    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

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                    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.

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@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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On the correspondence between quantum and classical variational principles
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Works referencing / citing this record:

Extending geometrical optics: A Lagrangian theory for vector waves
journal, May 2017

Ruiz, D. E.; Dodin, I. Y.
Physics of Plasmas, Vol. 24, Issue 5
DOI: 10.1063/1.4977537

Uphill acceleration in a spatially modulated electrostatic field particle accelerator
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Almansa, I.; Burton, D. A.; Cairns, R. A.
Physics of Plasmas, Vol. 25, Issue 11
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Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory
journal, July 2019

Dodin, I. Y.; Ruiz, D. E.; Yanagihara, K.
Physics of Plasmas, Vol. 26, Issue 7
DOI: 10.1063/1.5095076

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

Abstract

Citation Formats

Quantum Plasma Effects in the Classical Regime journal, April 2008

The Vector Representation of Spinning Particle in the Quantum Theory, I journal, October 1955

Relativistic Hydrodynamics of the Dirac Matter: Part I. General Theory journal, January 1957

Dynamics of Spin- 1 2 Quantum Plasmas journal, January 2007

Effects of the g Factor in Semiclassical Kinetic Plasma Theory journal, December 2008

Spin and magnetization effects in plasmas journal, May 2011

Linear and nonlinear wave propagation in weakly relativistic quantum plasmas journal, January 2013

Lagrangian approach to the semirelativistic electron dynamics in the mean-field approximation journal, September 2013

Quantum-relativistic hydrodynamic model for a spin-polarized electron gas interacting with light journal, July 2014

Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: Spin-electron acoustic wave appearance journal, March 2015

Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons journal, October 2015

Charged Particles in a Non-uniform Radio-frequency Field journal, November 1957

Ponderomotive Force and Linear Susceptibility in Vlasov Plasma journal, August 1977

Spin Contribution to the Ponderomotive Force in a Plasma journal, September 2010

Ponderomotive force due to the intrinsic spin in extended fluid and kinetic models journal, March 2011

Mutual Refraction of Electrons and Photons journal, October 1966

Refraction of Electron Beams by Intense Electromagnetic Waves journal, June 1966

The Lagrangian formulation of strong-field quantum electrodynamics in a plasma journal, May 2014

Positive and negative effective mass of classical particles in oscillatory and static fields journal, March 2008

Ponderomotive acceleration of hot electrons in tenuous plasmas journal, September 2009

The Quantum Theory of the Electron journal, February 1928

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field journal, May 1959

Geometric integrators for ODEs journal, April 2006

Geometric view on noneikonal waves journal, April 2014

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically journal, November 2012

Lagrangian geometrical optics of nonadiabatic vector waves and spin particles journal, October 2015

On the correspondence between quantum and classical variational principles journal, October 2015

A general approach to linear and non-linear dispersive waves using a Lagrangian journal, June 1965

Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser journal, April 1997

Kinetic modeling of intense, short laser pulses propagating in tenuous plasmas journal, January 1997

Drift Lagrangian for a relativistic particle in an intense laser field journal, August 2003

First-principles variational formulation of polarization effects in geometrical optics journal, October 2015

Group Velocity and Nonlinear Dispersive Wave Propagation journal, March 1973

Electron cavitation and acceleration in the wake of an ultraintense, self-focused laser pulse journal, March 1996

Comment on “Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser” journal, February 1998

�ber eine Klasse von L�sungen der Diracschen Gleichung journal, March 1935

Wavefunctions of a free electron in an external field and their application in intense field interactions. II. Relativistic treatment journal, August 1980

Analytical solutions of the Dirac and the Klein-Gordon equations in plasma induced by high-intensity laser journal, August 2013

Extending geometrical optics: A Lagrangian theory for vector waves journal, May 2017

Uphill acceleration in a spatially modulated electrostatic field particle accelerator journal, November 2018

Quasioptical modeling of wave beams with and without mode conversion. I. Basic theory journal, July 2019

Quantum Plasma Effects in the Classical Regime
journal, April 2008

The Vector Representation of Spinning Particle in the Quantum Theory, I
journal, October 1955

Relativistic Hydrodynamics of the Dirac Matter: Part I. General Theory
journal, January 1957

Dynamics of Spin- $\frac{1}{2}$ Quantum Plasmas
journal, January 2007

Effects of the $g$ Factor in Semiclassical Kinetic Plasma Theory
journal, December 2008

Spin and magnetization effects in plasmas
journal, May 2011

Linear and nonlinear wave propagation in weakly relativistic quantum plasmas
journal, January 2013

Lagrangian approach to the semirelativistic electron dynamics in the mean-field approximation
journal, September 2013

Quantum-relativistic hydrodynamic model for a spin-polarized electron gas interacting with light
journal, July 2014

Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: Spin-electron acoustic wave appearance
journal, March 2015

Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
journal, October 2015

Charged Particles in a Non-uniform Radio-frequency Field
journal, November 1957

Ponderomotive Force and Linear Susceptibility in Vlasov Plasma
journal, August 1977

Spin Contribution to the Ponderomotive Force in a Plasma
journal, September 2010

Ponderomotive force due to the intrinsic spin in extended fluid and kinetic models
journal, March 2011

Mutual Refraction of Electrons and Photons
journal, October 1966

Refraction of Electron Beams by Intense Electromagnetic Waves
journal, June 1966

The Lagrangian formulation of strong-field quantum electrodynamics in a plasma
journal, May 2014

Positive and negative effective mass of classical particles in oscillatory and static fields
journal, March 2008

Ponderomotive acceleration of hot electrons in tenuous plasmas
journal, September 2009

The Quantum Theory of the Electron
journal, February 1928

Precession of the Polarization of Particles Moving in a Homogeneous Electromagnetic Field
journal, May 1959

Geometric integrators for ODEs
journal, April 2006

Geometric view on noneikonal waves
journal, April 2014

Axiomatic geometrical optics, Abraham-Minkowski controversy, and photon properties derived classically
journal, November 2012

Lagrangian geometrical optics of nonadiabatic vector waves and spin particles
journal, October 2015

On the correspondence between quantum and classical variational principles
journal, October 2015

A general approach to linear and non-linear dispersive waves using a Lagrangian
journal, June 1965

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journal, April 1997

Kinetic modeling of intense, short laser pulses propagating in tenuous plasmas
journal, January 1997

Drift Lagrangian for a relativistic particle in an intense laser field
journal, August 2003

First-principles variational formulation of polarization effects in geometrical optics
journal, October 2015

Group Velocity and Nonlinear Dispersive Wave Propagation
journal, March 1973

Electron cavitation and acceleration in the wake of an ultraintense, self-focused laser pulse
journal, March 1996

Comment on “Experimental Observation of Electrons Accelerated in Vacuum to Relativistic Energies by a High-Intensity Laser”
journal, February 1998

�ber eine Klasse von L�sungen der Diracschen Gleichung
journal, March 1935

Wavefunctions of a free electron in an external field and their application in intense field interactions. II. Relativistic treatment
journal, August 1980

Analytical solutions of the Dirac and the Klein-Gordon equations in plasma induced by high-intensity laser
journal, August 2013

Extending geometrical optics: A Lagrangian theory for vector waves
journal, May 2017

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journal, November 2018

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journal, July 2019