TY - JOUR
T1 - The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential
AU - You, Yuan
AU - Lu, Fa Lin
AU - Sun, Dong Sheng
AU - Chen, Chang Yuan
AU - Dong, Shi Hai
N1 - Publisher Copyright:
© 2018 Yuan You et al.
PY - 2018/4/24
Y1 - 2018/4/24
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85046655609&partnerID=8YFLogxK
U2 - 10.1155/2018/8307486
DO - 10.1155/2018/8307486
M3 - Artículo
SN - 1687-7357
VL - 2018
JO - Advances in High Energy Physics
JF - Advances in High Energy Physics
M1 - 8307486
ER -