球对称Schrodinger-Poisson-Slater系统基态和动力学的简化拟谱方法
A short note on simplified pseudospectral methods for computing ground state and dynamics of spherically symmetric Schrodinger--Poisson--Slater system
摘要：
在最近的一篇论文中，我们提出并比较了在一般的外部势和初始条件下计算Schrödinger-Poisson-Slater（SPS）系统的基态和动力学的各种方法，认为基于空间正弦拟谱离散的方法是最好的选择.本文讨论了外势和初始条件球对称的情形。对于具有球对称性的SPS系统，通过对简化的准一维模型进行适当的变量变换，我们简化了针对一般三维情况提出的方法，从而大大减少了内存和计算量。
英文摘要：
In a recent paper we proposed and compared various approaches to compute the ground state and dynamics of the Schrödinger--Poisson--Slater (SPS) system for general external potential and initial condition, concluding that the methods based on sine pseudospectral discretization in space are the best candidates. This note is concerned with the case that the external potential and initial condition are spherically symmetric. For the SPS system with spherical symmetry, via applying a proper change of variables into the reduced quasi-1D model we simplify the methods proposed for the general 3D case such that both the memory and computational load are significantly reduced.
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