The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential
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-qua...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/8307486 |
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| author | Yuan You Fa-Lin Lu Dong-Sheng Sun Chang-Yuan Chen Shi-Hai Dong |
| author_facet | Yuan You Fa-Lin Lu Dong-Sheng Sun Chang-Yuan Chen Shi-Hai Dong |
| author_sort | Yuan You |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-39069201e8d944efa03e963c102b35a8 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-39069201e8d944efa03e963c102b35a82025-02-03T06:07:45ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/83074868307486The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb PotentialYuan You0Fa-Lin Lu1Dong-Sheng Sun2Chang-Yuan Chen3Shi-Hai Dong4New Energy and Electronic Engineering, Yancheng Teachers University, Yancheng 224002, ChinaNew Energy and Electronic Engineering, Yancheng Teachers University, Yancheng 224002, ChinaNew Energy and Electronic Engineering, Yancheng Teachers University, Yancheng 224002, ChinaNew Energy and Electronic Engineering, Yancheng Teachers University, Yancheng 224002, ChinaLaboratorio de Información Cuántica, CIDETEC, Instituto Politécnico Nacional, Unidad Profesional Adolfo López Mateos, 07700 Ciudad de México, MexicoThe 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.http://dx.doi.org/10.1155/2018/8307486 |
| spellingShingle | Yuan You Fa-Lin Lu Dong-Sheng Sun Chang-Yuan Chen Shi-Hai Dong The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential Advances in High Energy Physics |
| title | The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential |
| title_full | The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential |
| title_fullStr | The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential |
| title_full_unstemmed | The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential |
| title_short | The Visualization of the Space Probability Distribution for a Particle Moving in a Double Ring-Shaped Coulomb Potential |
| title_sort | visualization of the space probability distribution for a particle moving in a double ring shaped coulomb potential |
| url | http://dx.doi.org/10.1155/2018/8307486 |
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