Zernike Polynomials Applied to Schrondinger's Equation

[sujiwun]

Have Zernike Polynomials ever been applied to Schrondinger's Equation instead of psi? They're widely used in optics and seem to offer comparable positive traits.

http://en.wikipedia.org/wiki/Zernike_polynomials
http://wyant.optics.arizona.edu/zernikes/zernikes.htm

 

[DrDu]

There are two obstacles:
1. The Zernike polynomials only apply to wavefunctions restricted to a two dimensional disk which is a rather special problem.
2. The Zernike polynomial seem not to be solutions of a Schroedinger equation.

This does not exclude that they may be usefull in some special numerical qm problems.