The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential
Yuan You, Fa‐Lin Lu, Dong‐Sheng Sun +2 more
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 (n,l,m) are mainly relevant for those quasi-quantum numbers (n′,l′,m′) via the double RSCP parameter c . The SPDs are of circular ring shape in spherical coordinates. The properties for the relative probability values (RPVs) P are also discussed. For example, when we consider the special case (n,l,m)=(6,5,0) , the SPD moves towards two poles of z -axis when P increases. Finally, we discuss the different cases for the potential parameter b , which is taken as negative and positive values for c>0 . Compared with the particular case b=0 , the SPDs are shrunk for b=-0.5 , while they are spread out for b=0.5 .
arXiv:1803.09313•Advances in High Energy Physics•Jan 1, 2018•7 citations