摘要：The analytical solutions to a double ring-shaped Coulomb potential (RSCP) are presented. The visualizations of the space probability distribution (SPD) are illustrated for the two- (contour) and three-dimensional (isosurface) cases. The quantum numbers are mainly relevant for those quasi-quantum numbers via the double RSCP parameter . The SPDs are of circular ring shape in spherical coordinates. The properties for the relative probability values (RPVs) are also discussed. For example, when we consider the special case , the SPD moves towards two poles of -axis when increases. Finally, we discuss the different cases for the potential parameter , which is taken as negative and positive values for . Compared with the particular case , the SPDs are shrunk for , while they are spread out for .
