论文标题
使用坐标自适应移动网求解Schrodinger Poisson系统
Solving the Schrodinger Poisson System using the coordinate Adaptive Moving Mesh method
论文作者
论文摘要
在本文中，我们将自适应移动网格方法（AMM）实施到涉及Schrödinger方程的初始值问题的解决方案，更具体地说是Schrödinger-Poisson方程系统。该方法基于问题的解决方案，该域的分辨率是坐标和时间依赖性的，并允许根据所需的完善标准动态分配数值分辨率。我们应用了该方法来解决涉及SP系统固定溶液的各种测试问题，以及与超轻玻色粒暗物质在宿主星系顶部旅行的超轻质玻色粒暗物质制成的中断相关的玩具场景。
In this paper, we implement the Adaptive Moving Mesh method (AMM) to the solution of initial value problems involving the Schrödinger equation, and more specifically the Schrödinger-Poisson system of equations. This method is based on the solution of the problem on a discrete domain, whose resolution is coordinate and time-dependent, and allows to dynamically assign numerical resolution in terms of desired refinement criteria. We apply the method to solve various test problems involving stationary solutions of the SP system, and toy scenarios related to the disruption of subhalo s made of ultralight bosonic dark matter traveling on top of host galaxies.
