Cylindrically symmetric potential function

[Amith2006]

Homework Statement

I am trying solve the 3-D Schrödinger equation for a particle in a cylindrically symmetric potential. If it was the case of spherically symmetric potential, then we can approximate it to a central potential. But what will be the form of the potential in the cylindrically symmetric case? Can any suggest a way to derive it?

Homework Equations

central potential function is given by,
V=Ze^2/r

The Attempt at a Solution

 

[diazona]

Have you tried anything yet?

P.S. The obvious first step is to use cylindrical coordinates ;-)