Inspection of the number of electrons in the ring of a quantum dot

On the electronic structures of quantum dots, there is a new viewpoint saying that, in some specific states a few electrons might behave as valence electrons moving outside surrounding a core. To clarify the validity of this viewpoint, a numerical calculation was performed in this paper. The results are against this viewpoint.     

~（12）C基态和低激发态微观结构的对称性分析

通过３ａ集团模型，对１２Ｃ的基态和低激发态的微观结构进行对称性分析，得到一些令人感兴趣的结果．     

利用分波分析研究氦原子3pe态的电子-电子关联

本文利用分波分析的方法研究了氦原子³p^e态的N=2和N=3序列;考察了这些态固有的对称性,一体密度及形状密度等;以形象的方式探讨了电子间的角关联,径-径关联和径-角关联等.特别考察了内电子在外电子逼近时作出的反应.除此之外,还发现³p^e态的电子云的各向异性有独特的性质.     

具有排斥心的短程吸引力作用下的三体系统内部运动的质量效应

本文选择了一个三体模型,研究了质量对其内部运动的影响,发现了新的内部运动模式.     

N体散射的非耦合积分方程组

以下提出一组关于跃迁振幅的积分方程,用以求多体薛定锷方程的散射解．令Ｋ（ｎ）代表ｎ粒子系的内部动能算符,是（根据需要）从Ｖ中选择出来的一部分．定义若把Ｖａ再分为两部,Ｖａ＝Ｖａ１＋Ｖａ２,则定义若假定在初态φ中Ｖ不起作用,则可证相应的散射解．因此求散射解的问题还原为求的问题．在三体的情况下,设初态是ｉ粒子撞向ｉ、ｋ粒子的束缚态．令Ｖａ＝Ｖｊｋ,Ｖａ＝Ｖｉｊ＋Ｖｉｋ．通过按顺序逐一独立求解以下?...     

Effect of electric field on the electronic spectrum and the persistent current of a quantum ring with two electrons

The effect of an electric field E on a narrow quantum ring that contains two electrons and is threaded by a magnetic flux B has been investigated. Localization of the electronic distribution and suppression of the Aharonov--Bohm oscillation (ABO) are found in the two-electron ring, which are similar to those found in a one-electron ring. However, the period of ABO in a two-electron ring is reduced by half compared with that in a one-electron ring. Furthermore, during the variation of B, the persistent current of the ground state may undergo a sudden change in sign. This change is associated with a singlet--triplet transition and has no counterpart in one-electron rings. For a given E, there exists a threshold of energy. When the energy of the excited state exceeds the threshold, the localization would disappear and the ABO would recover. The value of the threshold is proportional to the magnitude of E. Once the threshold is exceeded, the persistent current is much stronger than the current of the ground state at E=0.     

二维氢分子离子波函数的节结构

在Born-Oppenheimer近似下,利用分离变量方法,求得了平面氢分子离子Schrdinger方程的精确解.通过分析波函数的节结构,确定了各本征态的内部量子数和内部运动模式,同时对各态进行了分类.找到了与量子运动模式对应的经典周期轨道.     

Transition of the True Ground State in a Coupled Three—Layer Quantum Dot

Low-lying states of a vertically coupled three-layer quantum-dot system are studied.Each layer contains one electron,and the tunnelling of electrons between layers is neglected.Effects of the interlayer separation d and the external magnetic field B are evaluated by numerical calculations.In the strong coupling case (i.e.d is small),as in a single dot,transitions of the angular momentum L of the true ground states occur when B increases, whereas in the weak coupling case the transition does not occur and L remains zero.Furthermore,it is found that the variation of d may also induce the L transition.As a result,a phase diagram of L of the true ground state is given in the d-B plane.     

Eikonal-Born展开及其对大角度散射问题的应用

本文以沿入射方向和沿出射方向传播的两个程函波函数取代DWBA的扭曲波,将散射振幅展开。从而给出一种利用程函近似计算非相对论大角度散射的方法。这一方法易于推广到相对论性唯象动力学方程。     

氦原子1Se双激发态的强径-径关联区

本文详细地研究了氦原子¹S^e态N=3序列内的电子-电子关联。探索并确认了K分类的几何内涵。发现了“强径-径关联区”的存在,其中两个电子的径向运动呈强烈的反位相耦合。 关键词：