Study Zitterbewegung effect in a quasi one-dimensional relativistic quantum plasma by Dirac-Heisenberg-Wigner formalization

Using Dirac equation together with the Wigner distribution function,the trembling motion,known as Zitterbewegung effect,of moving electrons in quasi-one-dimensional relativistic quantum plasma is theoretically investigated.The matrix used to calculate mean values of position and velocity operators for a gas electrons.It found that oscillatory behavior measurable quantities could be associated effect which manifests itself damping interference pattern stemming from mixing positive negative dispersion modes particles.