Phase-space structure of a new integrable system related to hydrogen atoms in external fields
Phase-space structure of a new integrable system related to hydrogen atoms in external fields
复制标题
与外场氢原子相关的新型可积系统的相空间结构
DOI：
10.1088/0305-4470/30/2/033
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
S. Chu
中科院分区：
文献类型：
--
作者：
M. Raković;S. Chu
我们探讨了最近发现的三维可积但不可分的哈密顿系统与速度相关的潜力相空间的详细拓扑结构。两个三参数家庭的三维环面的叶状相空间被确定。完成了能量-动量映射临界点对应的水平集的拓扑分类。讨论了三维可积系统与当前感兴趣的重要物理系统，即圆极化（CP）场中、交叉磁场和电场中以及交叉磁场和CP场中的氢原子之间的关系。
We explore the detailed topological structure of the phase-space of the recently discovered three-dimensional integrable but nonseparable Hamiltonian system with velocity dependent potential. Two three-parameter families of three-dimensional tori which foliate the phase-space are identified. The complete classification, according to their topology, of the level sets corresponding to the critical points of the energy-momentum map, is accomplished. The relationship of the three-dimensional integrable system with important physical systems of current interest, namely, the hydrogen atoms in circularly polarized (CP) fields, in crossed magnetic and electric fields and in crossed magnetic and CP fields, is discussed.