Finding the ground state energy of a particle

[sandybeach]

For a particle with a force acting on it whose potential is given by U(x) = g*lnx for x>1 and U(x) = ∞ for x = 1, how do I calculate the ground state energy of the particle?

Supposedly, there is no need to use Schrödinger's equations for this question, which is why I have no idea how to start.

Thanks for any help.

 

[tom.stoer]

You should use the Schrödinger equation; which other ansatz do you have in mind?

 

[sandybeach]

Alright, it must be a mistake then. We were given this question before learning the Schrödinger equation so it was impossible.

Edit: would I just use boundary conditions to solve for E in the time independent Schrödinger equation?

 

[tom.stoer]

The boundary condition is ψ(x=1) = 0