Classical dynamics of two-electron atoms at zero energy.
Classical dynamics of two-electron atoms at zero energy.
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零能量下双电子原子的经典动力学。
DOI：
10.1103/physreve.72.066215
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
G. Tanner
中科院分区：
文献类型：
--
作者：
Min;N. Choi;G. Tanner
本文给出了总能量E=0，角动量L=0时，带正电核库仑势中两个电子的经典动力学的完整描述。有效的四维相空间可以被划分成由Wannier岭空间的稳定流形和不稳定流形所张成的分区。我们确定了进一步的近似对称性，通过选择一个适当的庞加莱表面的部分在这个动力系统。另外，在稳定的Zee空间和强混沌的埃泽空间这两个共线空间的影响下，可以确定动力学之间的分界面。我们讨论的二元符号动力学发现共线双电子原子的相空间的非共线部分E<或=0的潜在扩展。
We give a complete description of the classical dynamics of two electrons in the Coulomb potential of a positively charged nucleus for total energy E=0 and angular momentum L=0. The effectively four-dimensional phase space can be divided into partitions spanned by the stable and unstable manifold of the Wannier ridge space. We identify a further approximate symmetry by choosing an appropriate Poincaré surface of section in this dynamical system. In addition, a dividing surface between the dynamics influenced by the two collinear spaces, the stable Zee space and the strongly chaotic eZe space can be identified. We discuss potential extensions of the binary symbolic dynamics found in collinear two-electron atoms to the noncollinear parts of the phase space for E< or =0.