Journal of Physical Studies 24(1), Article 1801 [10 pages] (2020) DOI: https://doi.org/10.30970/jps.24.1801 ON THE FISK-TAIT EQUATION FOR SPIN-3/2 FERMIONS INTERACTING WITH AN EXTERNAL MAGNETIC FIELD IN NONCOMMUTATIVE SPACE-TIME Ilyas Haouam  Laboratoire de Physique Mathématique et de Physique Subatomique (LPMPS), Université Frères Mentouri, Constantine 25000, Algeria Received 27 March 2019; in final form 11 November 2019; accepted 27 November 2019; published online 18 February 2020

In this paper, we investigated the Fisk-Tait equation in interaction with an external magnetic field in noncommutative space-time. The space-time noncommutativity is introduced through the Moyal-Weyl product method. Consequently, we studied the continuity equation in both commutative and noncommutative space-time; there we examined the influence of the space-time noncommutativity on the current density quadri-vector. Moreover, we find that the total charge obtained from the probability density is still indefinite even when space does not commute. Furthermore, we found the spin current density in the two different spin directions. We also investigated the linking between the fermions and the bosons in the Fock space using the Holstein-Primakoff transformation.

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