求解多电子原子系统周期轨道的模拟退火算法
Simulated annealing algorithm for finding periodic orbits of multi-electron atomic systems
摘要：
我们将模拟退火算法应用于经典多电子原子系统周期轨道的搜索。这是通过在能量约束下最小化到截面的庞加莱曲面上的初始位置的第n个返回距离来完成的。在这里，我们给出的证据的可行性的方法，将其应用到氦原子的基态的一到三个空间维度。我们检查的动态结构，并连接其组织的周期性轨道，我们发现。
英文摘要：
We adapt the simulated annealing algorithm to the search of periodic orbits for classical multi-electron atomic systems. This is done by minimizing the n-th return distance to the initial position on a Poincare surface of section under an energy constraint. Here we give evidence of the feasibility of the method by applying it to the helium atom in the ground state for one to three spatial dimensions. We examine the structure of the dynamics and connect its organization to the periodic orbits we have found.
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