Finding eigenvalue energy between two spheres

[morteza65]

Homework Statement

there are two spheres with radius a and b that b > a.they don't have the same center and the distance between their centers is d . how can I find eigenvalue and eigenfunction of energy spacing between two spheres... I don't have any idea. please help me .

Homework Equations

The Attempt at a Solution

 

[ChrisVer]

Is that a question? what is there between the spheres??