The visualization of the space probability distribution for a particle moving in a double ring-shaped Coulomb potential
Abstract
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 axis z when the 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 spread out for b=0.5.
Keywords
Cite
@article{arxiv.1803.09313,
title = {The visualization of the space probability distribution for a particle moving in a double ring-shaped Coulomb potential},
author = {Yuan You and Fa-Lin Lu and Dong-Sheng Sun and Chang-Yuan Chen and Shi-Hai Dong},
journal= {arXiv preprint arXiv:1803.09313},
year = {2018}
}
Comments
26 pages, 5 tables and 3 figures, Advances in High Energy Physics, in press