Consider a central potential of the spherical-step type, (V=V_{0}>0) for (r leq R) and (V=0) for (r>R),

Question:

Consider a central potential of the spherical-step type, $V=V_{0}>0$ for $r \leq R$ and $V=0$ for $r>R$, and a solution with energy $E>V_{0}$ and given angular momentum $l>0$. If the solution is assumed to be square integrable at $r=0$, calculate the coefficients $A$ and $B$ at infinity.

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