|Dec29-11, 11:45 AM||#1|
Trying to solve the Poschl-Teller potential
Trying to solve the Poschl-Teller potential (quantum mechanics)
1. The problem statement, all variables and given/known data
I have a superpotential that give me 2 of the Poschl-Teller potentials.
The superpotential is:
The Poschl-Teller potentials are:
2. Relevant equations
Schrodinger equation: Hψ=Eψ
3. The attempt at a solution
I placed the potential in Schrodinger equation (neglecting the existence of constants) and received the following equations:
I do not know what the next step I should do
I know I need to get to Legendre polynomial but I don't know how...
Can anyone show me how to do it?
|Dec29-11, 12:23 PM||#2|
Put [itex]u=\cos x [/itex]. Rewrite the DE in the u variable....
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