4. a) Consider a square potential well which has an infinite barrier at x = 0 and a barrier of height U at x = L, as shown in the figure. For the case E < U, obtain the solutions of the Schodinger equation inside the well (0 s x s L), as well as for outside the well (x > L) that satisfy the appropriate boundary conditions at x = 0 and x = 00. Put the appropriate conditions on x =L to find the allowed energies of the system. Are there conditions for which the solution is not possible? explain. E
4. a) Consider a square potential well which has an infinite barrier at x = 0 and a barrier of height U at x = L, as shown in the figure. For the case E < U, obtain the solutions of the Schodinger equation inside the well (0 s x s L), as well as for outside the well (x > L) that satisfy the appropriate boundary conditions at x = 0 and x = 00. Put the appropriate conditions on x =L to find the allowed energies of the system. Are there conditions for which the solution is not possible? explain. E
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Transcribed Image Text:4. a) Consider a square potential well which has an infinite barrier at x = 0 and a barrier of height U at x = L, as shown
in the figure. For the case E < U, obtain the solutions of the Schodinger equation inside the well (0 s x s L), as well as
for outside the well (x > L) that satisfy the appropriate boundary conditions at x = 0 and x = o. Put the appropriate
conditions on x = L to find the allowed energies
of the system. Are there conditions for which the solution is not possible? explain.
U
E
L.
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