For each of the six potentials, shown in the \Figref{3dpot1} below, answer the
following.
following.
- \label{16001Q1} Write the radial Schrodinger equation in different regions of $r$ values.
- Write the most general solution as a linear combinations of spherical Bessel functions with appropriate arugments.
- Impose the necessary regularity property at the origin and at $\infty$.
- Impose the matching conditions at the boundary of two neighbouring regions.
- Considering appropriate ranges of energy separately, state if energy eigenvalues are continuous or discrete?
- \label{16001Q2} Whenever bound states exist for a potential, obtain the condition on the bound state energy eigenvalues.
\FigBelow{0,0}{150}{220}{3dpot1}{Radial Wells for Q.
\ref{16001Q1}-\ref{16001Q2}}
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