超对称量子力学与三维Eckart势的解  

Supersymmetry Quantum Mechanics Vs Three Dimensional Eckart Potential

作　　者：崔红宇[1] 杨新娥[1] 胡北来[2] 

机构地区：[1]天津大学理学院,天津300072 [2]南开大学物理学院,天津300071

出　　处：《南开大学学报（自然科学版）》2006年第4期63-65,78,共4页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：结合超对称量子力学,应用两种方法对三维E ckart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E ckart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E ckart势场的性质,并结合超对称的结果进行讨论.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.

关 键 词：超对称量子力学 形状不变性 超势 

分 类 号：O413[理学—理论物理]