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1. Apply the boundary conditions to the ?nite square- well potential at x = 0 to ?nd the relationships between the coef?cients A, C, and D and the ratio C/D.

2. Apply the boundary conditions to the ?nite square- well potential at x = L to ?nd the relationship between the coef?cients B, C, and D and the ratio C/D.

3. Find the energies of the second, third, fourth, and ?fth levels for the three-dimensional cubical box. Which energy levels are degenerate?

4. Write the possible (unnormalized) wave functions for each of the ?rst four excited energy levels for the cubical box.

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