【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.更多还原

【Abstract】 Three-dimensional Eckart potential was studied with two methods.The first one was developing variational method in the context of SQM approach from the ground state to the excited states.The eigenvalues and eigenfunctions of the three-dimensional potential 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.更多还原