# Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas

@article{Andreev2014HydrodynamicAK, title={Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmas}, author={Pavel A. Andreev}, journal={Physics of Plasmas}, year={2014}, volume={22}, pages={062113} }

We discuss the complete theory of spin-1/2 electron-positron quantum plasmas, when electrons and positrons move with velocities mach smaller than the speed of light. We derive a set of two fluid quantum hydrodynamic equations consisting of the continuity, Euler, spin (magnetic moment) evolution equations for each species. We explicitly include the Coulomb, spin-spin, Darwin and annihilation interactions. The annihilation interaction is the main topic of the paper. We consider the contribution…

## 18 Citations

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## References

SHOWING 1-10 OF 130 REFERENCES

### Quantum hydrodynamics approach to the research of quantum effects and vorticity evolution in spin quantum plasmas

- Physics
- 2013

In this paper we explicate a method of magneto quantum hydrodynamics (MQHD) for the study of the quantum evolution of a system of spinning fermions in an external electromagnetic field. The…

### Spin effect on parametric decay of oblique Langmuir wave in degenerate magneto-plasmas

- Physics
- 2013

The electron spin −1/2 effects on the parametric decay instability of oblique Langmuir wave into low-frequency electromagnetic shear Alfven wave and Left-Handed Circularly Polarized wave (LHCP) has…

### Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D quantum plasmas

- Physics
- 2014

### Nonlinear aspects of quantum plasma physics

- Physics
- 2010

Dense quantum plasmas are ubiquitous in planetary interiors and in compact astrophysical objects (e.g., the interior of white dwarf stars, in magnetars, etc.), in semiconductors and micromechanical…

### Colloquium : nonlinear collective interactions in quantum plasmas with degenerate electron fluids

- Physics
- 2011

The current understanding of some important nonlinear collective processes in quantum plasmas with degenerate electrons is presented. After reviewing the basic properties of quantum plasmas, model…

### Waves of spin current in magnetized dielectrics

- Physics
- 2015

Spin current is an important physical quantity in present day spintronics and it might be very useful in the physics of quantum plasmas of the spinning particles. Thus it is important to have an…

### Arbitrary magnetosonic solitary waves in spin 1/2 degenerate quantum plasma

- Physics
- 2011

Abstract
Linear and nonlinear compressional magnetosonic waves are studied in magnetized degenerate spin-1/2 Fermi plasmas. Starting from the basic equations of a quantum magnetoplasma we develop the…

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

- Physics
- 2012

Emerging possibilities for creating and studying novel plasma regimes, e.g. relativistic plasmas and dense systems, in a controlled laboratory environment also require new modeling tools for such…

### New longitudinal waves in electron-positron-ion quantum plasmas

- Physics
- 2011

Abstract
A general quantum dispersion equation for electron-positron(hole)-ion quantum plasmas is
derived and studied for some interesting cases. In an electron-positron-ion degenerate
Fermi gas,…