HAIT Journal of Science and Engineering Volume 1, Issue 3, pp. 411435 © 2004 Holon Academic Institute of Technology 

On the problem of Zitterbewegung of the Dirac electronDaniel Sepunaru 
Research Center for Quantum Communication Engineering, Holon Academic Institute of Technology, 52 Golomb Str., Holon 58102, Israel email: danielsepunaru@walla.co.il Received 6 July 2004, revised 23 September 2004, accepted 8 October 2004 

Reformulation of Dirac equation in terms of real quadratic division algebra of quaternions is given. Similar equations with different mass term are identified as suitable for description of free propagating quark motion. The complete orthonormal set of the positiveenergy plane wave solutions is presented. Therefore, Zitterbewegung phenomenon is absent in this formulation. The probability current is proportional to the momentum, as in standard Schrödinger wave mechanics. 


___________________ Presented at International Workshop Correlated Electrons at High Magnetic Fields. EinGedi/Holon, Israel, 1923 December 2004 