Semiclassical cycle expansion for the helium atom
Semiclassical cycle expansion for the helium atom
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氦原子的半经典循环展开
DOI：
10.1088/0953-4075/24/17/001
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发表时间：
1991
期刊：
影响因子：
--
通讯作者：
D. Wintgen
中科院分区：
文献类型：
--
作者：
G. S. Ezra;K. Richter;G. Tanner;D. Wintgen
我们分析了氦中近共线电子组态的经典动力学。事实证明，这种动态完全是混乱的。周期轨道量子化技术的应用可以高精度地产生双激发态的能量。分析表明，近共线的壳层内共振与电子对的非对称伸缩有关，如Molion，而不是沿Wannier脊的对称伸缩运动。这封信的目的有三个方面。我们首先分析了氦原子中两个电子近共线排列的经典动力学。我们发现，得到的运动在相应的对称平面上是完全混沌的，而线性化后的平面运动是稳定的。然后，我们应用现代半经典技术对混沌动力学进行量子化，得到了某些双激发态的能量。最后，我们的结果(连同高精度的量子力学计算)明确地表明，对于双激发11永久地址，普遍接受的电子对沿Wannier脊传播的观点是：Max-Planck lnrlitut tir Kcmphy rik。邮编：103980。海德堡6900号。德国联邦共和国。
We analyse the classical dynamics of near-collinear electron configurations in helium. The dynamics turns out to be fully chaotic. An application of periodic orbit quantization techniques yields the energy of doubly excited states with high accuracy. The analysis shows that near-collinear intra-shell resonances are associated with an asymmetric stretch like molion of the electron pair rather than the symmetric stretch motion along the Wannier ridge. The purpose of this letter is threefold. We first analyse the classical dynamics for near-collinear arrangements of the two electrons in the helium atom. We find strong evidence that the resulting motion is fully chaotic in the corresponding symmetry plane whereas the linearized motion of the plane is stable. We then apply modern semi- classical techniques to quantize the chaotic dynamics and obtain the energies of certain doubly excited states. Finally, our results (together with numerically highly accurate quantum mechanical calculations) unambiguously show that the widely accepted viewpoint of electron pair propagation along the Wannier ridge for doubly excited 11 Prrmanent address: Max-Planck lnrlitut Tir Kcmphyrik. Postfach 103980. 6900 Heidelberg. Federal Republic of Gemany.