用于少体量子力学计算的自动网格构造
Automatic grid construction for few-body quantum mechanical calculations
摘要：
提出了一种求解二体薛定谔方程的非均匀网格生成算法。网格的形状被优化以精确地再现薛定谔算子谱的低能量部分。以这种方式构造的网格适用于更复杂的少体系统，其中网格点的数量是对数值精度的关键限制。通过应用到He三聚体的束缚态，说明了网格生成用于改进少体计算的效用。
英文摘要：
An algorithm for generating optimal nonuniform grids for solving the two-body Schrödinger equation is developed and implemented. The shape of the grid is optimized to accurately reproduce the low-energy part of the spectrum of the Schrödinger operator. Grids constructed this way are applicable to more complex few-body systems where the number of grid points is a critical limitation to numerical accuracy. The utility of the grid generation for improving few-body calculations is illustrated through an application to bound states of He trimers.
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