  We argue that the process of constructing the quantum mechanical current of
the 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 a
non-relativistic reduction of the relativistic Dirac four-vector current is,
however, capable of fully resolving the problem. This analysis reveals that the
non-relativistic current of the Pauli equation should include an extra term of
the form $\vec \nabla \vec \times (\psi^{\dagger} \vec \sigma \psi)$. We
present an initial exploration of the potential consequences of this new
'spin-term' by solving the Pauli equation for crossed magnetic and electric
fields and calculating the corresponding current.
