  We consider Pauli--Dirac fermion submitted to an inhomogeneous magnetic
field. It is showed that the propagator of the neutral Dirac particle with an
anomalous magnetic moment in an external linear magnetic field is the causal
Green function $S^{c}(x_{b},x_{a})$ of the Pauli--Dirac equation. The
corresponding Green function is calculated via path integral method in global
projection, giving rise to the exact eigenspinors expressions. The neutral
particle creation probability corresponding to our system is analyzed, which is
obtained as function of the introduced field $B'$ and the additional spin
magnetic moment $\mu$.
