  If $\Psi$ is a quaternionic wave function, then $i\Psi\neq \Psi i$. Thus,
there are two versions of the quaternionic Schr\"odinger equation (QSE). In
this article, we present the second possibility for solving the QSE, following
on from a previous article. After developing the general methodology, we
present the quaternionic free particle solution and the scattering of the
quaternionic particle through a scalar barrier.
