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

[t_n_p]

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)]?

 

[t_n_p]

whoops, can mods move to advance physics forum

 

[khepani]

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 )