| 超对称量子力学与三维Eckart势的解 |
| |
| 引用本文： | 崔红宇,杨新娥,胡北来. 超对称量子力学与三维Eckart势的解[J]. 南开大学学报(自然科学版), 2006, 39(4): 63-65,78 |
| |
| 作者姓名： | 崔红宇 杨新娥 胡北来 |
| |
| 作者单位： | 天津大学,理学院,天津,300072;南开大学,物理学院,天津,300071 |
| |
| 摘 要： | 结合超对称量子力学，应用两种方法对三维Eckart势场进行了分析和计算．一种是进一步扩展变分方法在超对称量子力学中的应用，求解由基态推广到激发态，得到三维Eckart势场的能谱和波函数；另一种是用求解氢原子的方法给出三维Eckart势场的性质，并结合超对称的结果进行讨论．
|
| 关 键 词： | 超对称量子力学 形状不变性 超势 |
| 文章编号： | 0465-7942（2006）04-0063-03 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005-12-20 |
Supersymmetry Quantum Mechanics Vs Three Dimensional Eckart Potential |
| |
| Cui Hongyu,Yang Xine,Hu Beilai. Supersymmetry Quantum Mechanics Vs Three Dimensional Eckart Potential[J]. Acta Scientiarum Naturalium University Nankaiensis, 2006, 39(4): 63-65,78 |
| |
| Authors: | Cui Hongyu Yang Xine Hu Beilai |
| |
| Affiliation: | 1. College of Science, Tianjin University, Tianjin 300072, China; 2. College of Physics, Nankai University, Tianjin 300071, China |
| |
| Abstract: | Three-dimensional Eckart potential was studied with two methods. Th was developing variational method in the contex excited states. The eigenvalues and eigenfuncti t of SQM approach from the ons of the three-dimensional ground s potentia e first one tate to the 1 were obtained. The second one was using Coulomb potential to replace the three-dimensional Eckart potential at the small values of radial coordinate. The results were discussed further through comparing with SQM results. |
| |
| Keywords: | supersymmetry quantum mechanics(SQM) shape-invariance superpotential |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
