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[QUE/QM-13002]

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  1. Find the energy eigen-functions for $E < V_0$. Verify that the energy eigenvalues are non-degenerate and continuous in this case.
  2. Verify that the energy eigenvalues are doubly degenerate for $E > V_0$. Find two linearly independent energy eigenfunctions $u_1$ and $u_2$ for energy $E$ such that the most general energy eigenfunctions is a linear combination of the two solutions $u_1$ and $u_2$.

 

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