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 κ-deformation of the spacetime on Zitterbewegung. For this, we start with the κ-deformed Dirac theory and using κ-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 → 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 → ∞, we get back the result in the commutative space-time.

Electron dynamics in noncommutative geometry with magnetic field and Zitterbewegung phenomenon

“…Besides, in Ref. [60], the effect of κ-deformation of spacetime on ZBW has also been considered. Furthermore, in Ref.…”

Effect of non-commutativity of space-time on thermodynamics of photon gas

“…Different theories on κ-deformed space-time have been constructed and studied in the last couple of years [13][14][15][16][17][18][19][20][21][22][23][24][25]. Since dispersion relation is modified due to the κ-deformation of the underlying space-time [13], it is interesting to see how the thermodynamics of a photon gas affected by such a modification.…”

Particle dynamics and Lie-algebraic type of non-commutativity of space–time

“…The first example of the space-time non-commutativity was introduced by Snyder in 1947 [4] and it was based on the deformation of the Heisenberg algebra of quantum mechanics. It is believed that noncommutativity of space-time describes the structure of the space-time at the Planck scale and attracted wide attention [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]. A connection between dissipation and noncommutativity was investigated in [22].…”