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We argue that the process of constructing the quantum mechanical current ofthe Pauli equation by copying the line of arguments used in the spin-0 case,i.e. the Schr\"{o}dinger equation, is ambiguous. We show that anon-relativistic reduction of the relativistic Dirac four-vector current is,however, capable of fully resolving the problem. This analysis reveals that thenon-relativistic current of the Pauli equation should include an extra term ofthe form $\vec \nabla \vec \times (\psi^{\dagger} \vec \sigma \psi)$. Wepresent an initial exploration of the potential consequences of this new'spin-term' by solving the Pauli equation for crossed magnetic and electricfields and calculating the corresponding current.Comment: 8 pages, LATe

The quantum mechanical current of the Pauli equation