Consider the probablity current density associated with the scattered wavefunction: Js=ℏmIm[ψ∗s∇ψs]. Let us focus only on the r-compone...Consider the probablity current density associated with the scattered wavefunction: Js=ℏmIm[ψ∗s∇ψs]. Let us focus only on the r-component of the current density, in the r→∞ limit: \[\begin{align}\begin{aligned}J_{s,r}\; &\;\;=\;\;\;\, \frac{\hbar}{m}\, \mathrm{Im}\left[\psi_s^* \frac{\partial}{\partial r}\psi_s\right] \\ &\overset{r\rightarrow\infty}{\longrightarrow}\;\, \frac{\hbar}{m}\; |\Psi_i|^2 \; |f(\Omega…
