论文标题
基于梯度优化的复杂协调旋转方法
Complex coordinate rotation method based on gradient optimization
论文作者
论文摘要
在原子，分子和核物理学中，复杂坐标旋转的方法是一种用于研究共振状态的理论上使用的工具。在这里，我们提出了基于梯度优化（CCR-GO）的这种方法的新实现。 CCR-GO方法的主要强度是，它不需要在波函数中手动调整优化参数。相反，可以遵循数学定义明确的优化路径。事实证明，我们的方法在搜索各种几个体制的原子系统上搜索谐振位置和宽度方面非常有效，并且可以显着提高结果的准确性。作为一种特殊情况，CCR-GO方法同样能够以高精度来处理界限问题，这是通过能量本身通常的极端条件来实现的。
In atomic, molecular, and nuclear physics, the method of complex coordinate rotation is a widely used theoretical tool for studying resonant states. Here, we propose a novel implementation of this method based on the gradient optimization (CCR-GO). The main strength of the CCR-GO method is that it does not require manual adjustment of optimization parameters in the wave function; instead, a mathematically well-defined optimization path can be followed. Our method is proven to be very efficient in searching resonant positions and widths over a variety of few-body atomic systems, and can significantly improve the accuracy of the results. As a special case, the CCR-GO method is equally capable of dealing with bound-state problems with high accuracy, which is traditionally achieved through the usual extreme conditions of energy itself.
