Reconsider Exercise 9.6.1 subject to the periodic boundary conditions that the
Chapter 9, Problem 9.6.3(choose chapter or problem)
Reconsider Exercise 9.6.1 subject to the periodic boundary conditions that the eigenvalue splits. This means that if = 0, there is one eigenfunction for each eigenvalue, but as 0, two eigenvalues will approach each other (coalesce), yielding eigenvalues with two eigenfunctions. [Hint: It is necessary to consider a linear combination of both eigenfunctions ( = 0). For each eigenvalue, determine the specific combination of these eigenfunctions that is the unique eigenfunction when = 0.]
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