In this study, we introduce a relativistic quantum mechanical wave equationof the spin-1 particle as an excited state of the zitterbewegung and show thatit is consistent with the 2+1 dimensional Proca theory. At the same time, wesee that in the rest frame this equation has two eigenstates, particle andantiparticle states or negative and positive energy eigenstates, respectively,and satisfy $SO(2,1)$ spin algebra. As practical applications, we derive theexact solutions of the equation in the presence of a constant magnetic fieldand a curved spacetime. From these solutions, we find Noether charge byintegrating the constructed spin-1 particle current on hyper surface anddiscuss pair production from the charge. And, we see that the discussion on he Noether charge is useful tool for undersdantding the pair productionphenomenon because the charge is derived from a probabilistic particle current.
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