奇异位势的渐近迭代法
Asymptotic Iteration method for singular potentials
摘要：
本文用渐近迭代法（AIM）求出了任意维具有奇异势V（r）=r^2+λ/r^a（α，λ> 0）的径向Schroedinger方程的高精度本征值.某些基本条件的应用AIM，如一个合适的渐近形式的波函数，和终止条件的迭代过程中，进行了讨论。为了提高收敛速度和稳定计算，本文提出了几点建议。AIM提供了一种简单、准确和有效的方法来处理奇异势，如V（r），适用于所有范围的耦合λ。
英文摘要：
The asymptotic iteration method (AIM) is applied to obtain highly accurate eigenvalues of the radial Schroedinger equation with the singular potential V(r)=r^2+λ/r^α(α,λ> 0) in arbitrary dimensions. Certain fundamental conditions for the application of AIM, such as a suitable asymptotic form for the wave function, and the termination condition for the iteration process, are discussed. Several suggestions are introduced to improve the rate of convergence and to stabilize the computation. AIM offers a simple, accurate, and efficient method for the treatment of singular potentials such as V(r) valid for all ranges of coupling λ.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
