I have a problem in understanding why we consider the continuity of the Logarithmic derivative of the wave function at the boundary of the Scattering Potential? I understand that physical arguments require the wavefunction to be continuous, but why the logarithmic derivative?
$$\lim_{r \to a}\frac{r}{\phi} \frac{d}{dr} \phi,$$ where $a$ is the length scale of the scattering potential.