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Abstract: We adapt the simulated annealing algorithm to the search of periodic orbitsfor classical multi-electron atomic systems. This is done by minimizing then-th return distance to the initial position on a Poincare surface of sectionunder an energy constraint. Here we give evidence of the feasibility of themethod by applying it to the helium atom in the ground state for one to threespatial dimensions. We examine the structure of the dynamics and connect itsorganization to the periodic orbits we have found.



Author: Francois Mauger CPT, Cristel Chandre CPT, Turgay Uzer

Source: https://arxiv.org/







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