Effect of Noncommutativity of Space-time on Zitterbewegung

Abstract

In this paper, we present the results of our investigation on the modification of Zitterbewegung due to the noncommutativity of the space-time. First, we study the effect of $\kappa$-deformation of the space-time on Zitterbewegung. For this, we start with the $\kappa$-deformed Dirac theory and using $\kappa$-deformed Dirac equation valid upto first order in deformation parameter $a$, we find the modification in the Zitterbewegung valid upto first order in the deformation parameter $a$. In the limit $a\to 0$, we get back the commutative result. Secondly, we find the modification in the Zitterbewegung due to the Magueijo-Smolin(MS) approach of doubly special relativity(DSR) and in the limit $E_p\to \infty$, we get back the result in the commutative space-time.

19 pages, to appear in Eur.Phys.J.Plus

References in corpus (5)

• A Lagrangian for DSR Particle and the Role of Noncommutativity
• Geodesic equation in $k$-Minkowski spacetime
• Uniformly accelerating observer in $\kappa$-deformed space-time
• Dirac Equation in $\kappa$-Minkowski space-time
• Dirac Equation in the Magueijo-Smolin Approach of Double Special Relativity