Using a method adapted from few—body hyperspherical techniques, an approach to the solution of the Schroedinger equation with nonspherical potentials is discussed. The method is to spherically average the potential over spherical angles and then solve the resulting set of coupled differential equations. A discussion of how this method is applied to the Stark effect is presented.
Hughes, C. A.
"Schroedinger Equation with Spherically Averaged Potentials,"
Journal of the Arkansas Academy of Science: Vol. 46
, Article 3.
Available at: http://scholarworks.uark.edu/jaas/vol46/iss1/3