Classical Coulomb three-body problem in collinear eZe configuration

Classical Coulomb three-body problem in collinear eZe configuration
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共线 eZe 配置中的经典库仑三体问题

DOI:
10.1088/0305-4470/37/3/018
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发表时间:
2003
期刊:
arXiv: Chaotic Dynamics
影响因子:
--
通讯作者:
M. Sano
M. Sano
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--
文献类型:
--
作者:
M. Sano

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双电子原子和离子的经典动力学H,He,Li,Be,...在共线情况下,研究了Eze组态。结果表明,原子核与电子的质量比对这些系统的动力学行为起着重要的作用。借助分析工具和数值计算表明,由于大的质量比,这些系统的经典动力学是完全混沌的,可能是双曲的。还提出了这一发现的实验证明。
Classical dynamics of two-electron atom and ions H$^{-}$, He, Li$^{+}$, Be$^{2+}$,... in collinear eZe configuration is investigated. It is revealed that the mass ratio $\xi$ between necleus and electron plays an important role for dynamical behaviour of these systems. With the aid of analytical tool and numeircal computation, it is shown that thanks to large mass ratio $\xi$, classical dynamics of these systems is fully chaotic, probably hyperbolic. Experimental manifestation of this finding is also proposed.
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