Semi-relativistic effects in spin-1/2 quantum plasmas

Abstract

Emerging possibilities for creating and studying novel plasma regimes, e.g. relativistic plasmas and dense systems, in a controlled laboratory environment also requires new modeling tools for such systems. This brings motivation for theoretical studies of the kinetic theory governing the dynamics of plasmas for which both relativistic and quantum effects occur simultaneously. Here, we investigate relativistic corrections to the Pauli Hamiltonian in the context of a scalar kinetic theory for spin-1/2 quantum plasmas. In particular, we formulate a quantum kinetic theory that takes such effects as spin-orbit coupling and Zitterbewegung into account for the collective motion of electrons. We discuss the implications and possible applications of our findings.

9 pages, 2 figures

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Cited by in corpus (22)

• Spin-one-half particles in strong electromagnetic fields: spin effects and radiation reaction
• Fully relativistic kinetic equation for spin-1/2 particles in the long scale-length approximation
• Quantum kinetics of spinning neutral particles: General theory and Spin wave dispersion
• Lagrangian approach to the semi-relativistic electron dynamics in the mean-field approximation
• Solid state plasmas
• Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas
• Phase space methods for the spin dynamics in condensed matter systems
• Wave-particle interactions in quantum plasmas
• Spacetime-dependent electric field effects in vacuum and plasma using the Wigner-formalism
• Linear and nonlinear wave propagation in weakly relativistic quantum plasmas
• Relativistic kinetic theory for spin-1/2 particles: Conservation laws, thermodynamics, and linear waves
• Kinetic theory for spin-1/2 particles in ultra-strong magnetic fields
• Wave dispersion derived from the square-root Klein-Gordon-Poisson system
• Langmuir waves dispersion in semi-relativistic spinless quantum plasmas
• Particle-in-Cell simulations of electron spin effects in plasmas
• Stability of electromagnetic solitons]{Electromagnetic solitons and their stability in relativistic degenerate dense plasmas with two electron species
• Balance equations in semi-relativistic quantum hydrodynamics
• Energy conserving particle-in-cell methods for relativistic Vlasov--Maxwell equations of laser-plasma interaction
• Applicability of the Klein-Gordon equation for pair production in vacuum and plasma
• NLSE for quantum plasmas with the radiation damping
• Short-scale quantum kinetic theory including spin-orbit interactions
• Ponderomotive force due to the intrinsic spin for electrostatic waves in a magnetized plasma