论文标题
带有西格特状态的平均原子模型
Average Atom Model with Siegert States
论文作者
论文摘要
在等离子体中，电子状态可以是局部局部结合状态或巡回自由状态，或者之间的某些东西。在血浆电子结构（例如平均原子模型）的自洽处理中，必须准确解决所有状态，以实现收敛的数值解决方案。这在很大程度上是一个具有挑战性的数值和算法问题，这是由于自由状态的连续性相对昂贵且难以准确解决。西格特国家是一种吸引人的选择。它们以纯粹的离散频谱形成完整的本本基曲，同时仍然等同于通常的约束状态和自由状态。但是，它们的许多特性是不直觉的，并且并不明显地适合自洽等离子体电子结构计算。在这里证明，西格特状态可用于准确解决平均原子模型，并提供比传统有限差异方法的优势，包括压力电离和连续共振的具体物理图片。
In plasmas, electronic states can be well localized bound states or itinerant free states, or something in between. In self-consistent treatments of plasma electronic structure such as the average atom model, all states must be accurately resolved in order to achieve a converged numerical solution. This is a challenging numerical and algorithmic problem in large part due to the continuum of free states which is relatively expensive and difficult to resolve accurately. Siegert states are an appealing alternative. They form a complete eigenbasis with a purely discrete spectrum while still being equivalent to a representation in terms of the usual bound states and free states. However, many of their properties are unintuitive, and it is not obvious that they are suitable for self-consistent plasma electronic structure calculations. Here it is demonstrated that Siegert states can be used to accurately solve an average atom model and offer advantages over the traditional finite difference approach, including a concrete physical picture of pressure ionization and continuum resonances.
