What Is the Correct Approach to Solve the Poschl-Teller Potential Problem?

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Homework Statement



http://img125.imageshack.us/img125/2923/85098487ch9.jpg

The Attempt at a Solution



Because there is no wavefunction specified, is it sufficient to show A+A- = (ε+1) and hence perform the expansion [(-d/dx)+tanh(x)][(d/dx)+tanh(x)]?
 
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You should solve the differential equation, you'll see that \Phi goes as Exp[-ikx](tanh x + ik) + Exp[i k x] (tanh x - ik )
 

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