等价电子组态(l2+l1-)的能量矩阵的电子杨表表示

给出了电子组态(l^2 l^1-)的谱功波函数及其能量矩阵的电子杨表表示，验证了电子杨表表示的能量矩阵元的构成规律，体现了电子杨表表示的能量矩阵的优越性。     

全同电子对称空间波函数的标准杨表表示

对全同电子组态（ｌ＾ｆ＋ｌ＾ｇ－）给出的ｎλ个标准杨表Ｔ＾〖λ〗ｉ,把与Ｔ＾〖λ〗ｉ相联系的ｎ电子体系的位置函数Φ１改写为ｎ电子体系的无微扰态函数Φ１ｅ,并给出自旋反向的电子间位置函数交换的等几率假设,由此确定了与Ｔ＾〖λ〗１相联系和等符ｑ＋ｅ,从而得到了Ｔ＾〖λ〗１的有确定转换对称性的无微扰态函数的解析式,给出了全同电子谱项波函数的标准杨表表示。     

全同电子对称空间波函数的标准杨表表示

对全同电子组态(lf+l8-)给出的nλ个标准杨表Ti[λ],把与T1[λ]相联系的n电子体系的位置函数φ1改写为n电子体系的无微扰态函数φ1e,并给出自旋反向的电子间位置函数交换的等几率假设,由此确定了与T[λ]相联系的算符q+e,从而得到了T[λ]的有确定置换对称性的无微扰态函数的解析式,给出了全同电子谱项波函数的标准杨表表示.     

（np）^3电子组态的光谱项

根据泡利不相容原理，费米子所满足的反对称波函数，用二次量子化的方法讨论（np）^3电子组态的光谱项，并指出一些文献的错误之处。     

ι^＊—拓扑格群

基于在双格序代数结构ι^*-模上定义的格收敛概念．讨论ι^*-拓扑和ι^*-拓扑群的性质。     

原子电子波函数的塌缩

多电子原子核外电子轨道结构不完全相同氢原子,随着原子序数增大,有些电子轨道可能会突然塌缩,电子分布几率极值点会向核靠拢,表示轨道的波函数也会跟着突变,即发生原子波函数塌缩现象.     

电子单缝衍射的强度分布

电子状态用波函数描述，由电子动量的概率分布，得到电子单缝衍射的强度分布。     

K等核系列离子3d电子轨道波函数性态研究

利用HFR自洽场方法计算了K等核系列离子3d,4d电子径向波函数,分析了沿K等核系列离子3d轨道波函数的塌缩现象,并进一步讨论了轨道波函数的控制塌缩.     

Ar等核系列离子3d电子轨道波函数性态研究

利用HFR自洽场方法计算了Ar等核系列离子3d,4d电子径向波函数,分析了沿Ar等核系列离子3d轨道波函数的塌缩现象,并进一步讨论了轨遣波函数的控制塌缩．     

一个代数定理及在组合数学中的应用

本文考察复变函数f（ζ）＝ζ/πl≤j≤n（ζ-xj）^ι（r∈Z，ι＝2，xj∈C）的罗朗（Laurent）展式，应用留数定理级出一个代数恒等式，由此再给出一类关于组合数的恒等式。本文的方法为研究组合数学提供又一途径。     

等价电子组态nl2光谱项的一般规律

揭示了nl^2组态光谱项的一般规律，按此规律可迅速求出nl^2组态的全部光谱项。     

任意方向的原子轨函

用旋转变换得到了任意方向上,由(n,l,m,m_s)四个量子数标记的原子轨函。     

二次组态相互作用理论--确定电子相关能的一种普适性技术

介绍了从单Hartree-Fock 行列式出发计算电子相关能的一种普遍方法,即在组态系数中引入二次项,用修改后的组态相互作用理论方程,计算所得的总能量仍具有大小一致性。当采用截断为单和双取代的组态空间,得到这套易于处理的二次方程被称之为QCISD法。还讨论了QCISD法和耦合簇理论之间的关系,概述了增加三级取代校正的一种简化方法QCISD(T)。     

Young children's beliefs about the relationship between gender and aggressive behavior

Young children's beliefs about the relationship between gender and aggression were examined across 3 studies (N=121). In Study 1, preschoolers (ages 3 to 5) described relational aggression as the most common form of aggression among girls and physical aggression as the most common form among boys. In Study 2, preschoolers and a comparison group of 7- to 8-year-olds were likely to infer that relationally aggressive characters are female and physically aggressive characters are male. Study 3 revealed that preschoolers show systematic memory distortions when recalling stories that conflict with these gender schemas. These findings suggest that even before children reach school age, they have organized patterns of beliefs about gender that affect the way they process social information.     

凸函数

首先定义了一类新的凸函数:凸函数,它是通常凸函数的一般形式,并推出了凸函数的一系列不等式,它们是凸函数中某些相应的著名不等式的推广。     

Object similarity bootstraps young children to action-based verb extension

Young children often fail to generalize a novel verb based on sameness of action since they have difficulty focusing on the relational similarity across events while at the same time ignoring the objects that are involved. Study 1, with Japanese-speaking 3- and 4-year-olds (N = 28 in each group), found that similarity of objects involved in action events plays a scaffolding role in children's extraction of relational similarity across events when they extend a verb. Study 2, with 4-year-olds (N = 47), further showed that repeated experience of action-based verb extension supported by object similarity leads children to be better able to extend a novel verb based on sameness of action, even without support from object similarity.     

线性l1问题的一个算法

本文首先将线性l_1问题转化为一个与之等价的约束线性l_1问题,然后研究它的算法,最后给出一个算例。     

Cu/Ce-HMS的合成

XRD、FT-IR及HRTEM等表征证实合成了Cu、Ce双元金属嵌入的HMS,合成样品为球状纳米晶体,Cu、Ce双元金属的嵌入,使HMS的D100面的X衍射特征吸收峰呈现宽化和低角位移趋势,Si-O四面体的骨架不对伸缩振动带(1082cm-1)因金属源和嵌入的金属元素不同,出现不同程度的紫移.     

Children and adults' intuitions of what people can believe

Two preregistered studies tested how 5- to 6-year-olds, 7- to 8-year-olds, and adults judged the possibility of holding alternative beliefs (N = 240, 110 females, U.S. sample, mixed ethnicities, data collected from September 2020 through October 2021). In Study 1, children and adults thought people could not hold different beliefs when their initial beliefs were supported by evidence (but judged they could without this evidential constraint). In Study 2, children and adults thought people could not hold different beliefs when their initial beliefs were moral beliefs (but judged they could without this moral constraint). Young children viewed moral beliefs as more constrained than adults. These results suggest that young children already have sophisticated intuitions of the possibility of holding various beliefs and how certain beliefs are constrained.