Preprint Article Version 1 This version not peer reviewed

The Dynamics of the Wave Packet in the Majorana Equation

Version 1 : Received: 12 January 2017 / Approved: 16 January 2017 / Online: 16 January 2017 (04:03:31 CET)

How to cite: Nanni, L. The Dynamics of the Wave Packet in the Majorana Equation. Preprints 2017, 2017010072 (doi: 10.20944/preprints201701.0072.v1). Nanni, L. The Dynamics of the Wave Packet in the Majorana Equation. Preprints 2017, 2017010072 (doi: 10.20944/preprints201701.0072.v1).

Abstract

In the Majorana equation for particles with arbitrary spin, the wave packet is due not only to the uncertainty affecting position and momentum but also to the infinite components with decreasing mass forming the Majorana spinor. In this paper we prove that such components contribute to increase the spreading of the wave packet. Moreover, as occurs in the time propagation of the Dirac wave packet, also in that of Majorana the Zitterbewegung takes place, but it shows a peculiar fine structure. Finally, the group velocity always remains subluminal and the contributions due to the infinite components decrease progressively increasing the spin.

Subject Areas

wave packet; infinite components wavefunctions; Zitterbewegung

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