Kantorovich Method for Solving the Multi-dimensional Eigenvalue and Scattering Problems of Schroedinger Equation

机译：Schrodinger方程的多维特征值和散射问题的Kantorovich方法

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A Kantorovich method for solving the multi-dimensional eigenvalue and scattering problems of Schroedinger equation is developed in the framework of a conventional finite element representation of smooth solutions over a hyperspherical coordinate space. Convergence and efficiency of the proposed schemes are demonstrated on an exactly solvable model of three identical particles on a line with pair attractive zero-range potentials below three-body threshold. It is shown that the Galerkin method has a rather low rate of convergence to exact result of the eigenvalue problem under consideration.

机译：在超球面坐标空间上光滑解的常规有限元表示框架下，开发了一种解决Schroedinger方程的多维特征值和散射问题的Kantorovich方法。拟议方案的收敛性和效率在具有三个对阈值以下三对有吸引力的零范围电势的直线上的三个相同粒子的精确可解模型上得到证明。结果表明，Galerkin方法对于所考虑的特征值问题的精确结果具有较低的收敛速度。

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《5th International Conference on Numerical Methods and Applications NMA 2002, Aug 20-24, 2002, Borovets, Bulgaria》|2002年|p.403-411|共9页
会议地点 Borovets(BG);Borovets(BG)
作者
Ochbadrakh Chuluunbaatar; Michael S. Kaschiev; Vera A. Kaschieva; Sergey I. Vinitsky;
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作者单位

Joint Institute for Nuclear Research, 141980 Dubna, Moscow region, Russia;

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原文格式 PDF
正文语种 eng
中图分类力学;
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Kantorovich Method for Solving the Multi-dimensional Eigenvalue and Scattering Problems of Schroedinger Equation

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