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1.
孙騊亨 《中国科学A辑》1986,29(4):430-436
本文提出了一种用瞬态相干光学效应直接测定偶极跃迁矩阵元的新方法。用CW激光器和Stark开关技术实现对气体分子的脉冲激发,当提供合适的相移,可以得到带有弛豫振荡的光学旋转回波效应,由振荡频率与偶极跃迁矩阵元的线性关系,可以直接确定偶极跃迁矩阵元的精确值。文中给出了完整的理论计算和实验方法,对13CH3F分子振转能级间偶极跃迁矩阵元的精确测量结果表明,理论考虑和实验方法都是正确的,这种方法的独特优点,足以使它成为实验测定偶极跃迁矩阵元精确值的有效手段。  相似文献   

2.
若An 是X := {1, 2,..., n} 上的偶置换构成的交错群, En 是X 上的偶错位集, 则Cayley 图AΓn := Γ(An, En) 称为偶错位图. 令AΓnq 为q 个AΓn 的张量幂. 在本文中, 我们研究了AΓnq 的连通性、直径、独立数、团数、色数和最大独立集等性质. 利用AΓnq 最大独立集的结果, 我们完全确定了AΓnq 的自同构群的结构.  相似文献   

3.
192Ir的γ射线的能量准确值作为比较标准,用高纯锗γ谱仪测出正电子在充氧气的气凝硅胶中湮没γ射线能量的平均值,与在真空气凝硅胶中湮没γ能量相比较,定出仲态电子偶素湮没γ能量,经对电子偶素运动的相对论效应及电子偶素结合能等修正,得出电子静止质量m0c2=510998.80±0.74eV.实验结果与电子静止质量的最近调节值在误差内一致.  相似文献   

4.
游弥漫  周楠 《数学杂志》2017,37(1):63-73
本文研究了monoidal Hom-Hopf群-余代数上的Drinfeld量子偶的问题.利用交叉monoidalHom-Hopf T-余代数的定义及拟三角monoidal Hom-Hopf群-余代数的定义,获得了此Drinfeld量子偶是拟三角monoidal Hom-Hopf群-余代数的结果.  相似文献   

5.
高崇寿 《中国科学A辑》2000,30(6):537-543
对于质量介于 1 .2和 2 .9GeV之间的I =0 ,JPC等于偶++ 无味强子 ,基于粒子衰变到两个赝标介子的衰变宽度和各衰变道的分支比的普遍分析 ,给出判别这粒子是介子还是胶球的两组判别式 .判断已知的I=0 ,JPC=2 ++,f2 (1 5 2 5 )是一个典型的介子 .讨论了判断新的I=0 ,JPC等于偶++ 无味强子的方法  相似文献   

6.
陈宝振 《中国科学A辑》2000,30(12):1109-1117
提出了超强激光(>1019 W/cm2)中氢原子电离的相对论半经典理论.给出了基态氢原子电离几率的相对论性的解析表达式.同非相对论性的理论比较,这个相对论性的解析表达式清楚地展现了光场中磁场、非偶极近似和相对论的质能关系对电离过程的影响.同时,证明在一定的条件下这个电离几率的相对论性的解析表达式自动约化为非偶极近似非相对论性的解析表达式.简单说明了超强激光中氢原子电离的相对论理论的可能应用.  相似文献   

7.
张鉴祖 《中国科学A辑》1991,34(2):169-176
本文对荷电Fermion子与Abelian双子束缚态系统在总角动量j≥|q|+1/2和双子电荷Zd<Zcd条件下,对此系统的能谱与类氢谱作了详细比较;细致讨论了此系统的字称不守恒的△j=0的电偶极跃迁矩阵元和非零电偶极据,提出了探测此系统的一个可能新途径.  相似文献   

8.
陈吉象 《数学学报》1983,26(2):220-227
<正> 具有绝对同伦扩张性质的空间偶称为上纤维偶.文[1]已指出上纤维偶不是伦型不变的,我们将文[1]的一个引理稍作修改,根据文[1]的结果,得到一个充分条件,从一个上纤维偶能断定另一个也是上纤维偶(第三节).我们的第二个问题是上纤维偶与连通性相关的问题(第四节).最后,在第五节中,我们讨论A是X的独点子集时的上纤维偶(X,  相似文献   

9.
本文首先提出了广义框架的G-对偶框架概念;其次给出了广义框架的G-对偶框架的性质和稳定性结果;最后建立了广义框架的G-对偶框架的特征刻画.  相似文献   

10.
本文利用三角和估值的指数偶方法,改进了张文鹏关于Dirichlet L—函数的二次均值(?)│L(1/2+it,x)│2的一个渐近公式.  相似文献   

11.
In this paper we are concerned with the Pizzetti series associated with the Dunkl Laplacian denoted Δ k . We study the convergence of this series and we give some applications. Next we establish some properties of polyharmonic functions associated with Δ k , especially, we establish Liouville type results.  相似文献   

12.
In this study, we give multiplication formula for generalized Euler polynomials of order α and obtain some explicit recursive formulas. The multiple alternating sums with positive real parameters a and b are evaluated in terms of both generalized Euler and generalized Bernoulli polynomials of order α. Finally we obtained some interesting special cases.  相似文献   

13.
In this paper, we give a necessary and sufficient condition that a locally biholomorphic mapping f on the unit ball B in a complex Hilbert space X is a biholomorphic convex mapping, which improves some results of Hamada and Kohr and solves the problem which is posed by Graham and Kohr. From this, we derive some sufficient conditions for biholomorphic convex mapping. We also introduce a linear operator in purpose to construct some concrete examples of biholomorphic convex mappings on B in Hilbert spaces. Moreover, we give some examples of biholomorphic convex mappings on B in Hilbert spaces.  相似文献   

14.
In this paper, we study lattices of preradicals which are not small classes (in which case we say that the corresponding rings are p-large), and specially we consider some infinite representation type algebras. We construct an injective assignment between lattices of preradicals, using a full functor between the corresponding categories of modules, that satisfies certain conditions. We show that the polynomial ring over any field is p-large, and we use this fact to provide examples and some classes of algebras (both tame and wild) which are p-large.  相似文献   

15.
In this paper, we show some properties of the Bott-Duffin inverses $A_{r_{ ( L_{1} ) }}^{ ( -1 ) }$ and $A_{l_{ ( L_{2} ) }}^{ ( -1 ) }$ over the quaternion skew field. In particular, we establish the determinantal representations of these generalized inverses by the theory of the column and row determinants. Moreover, we derive some Cramer rules for the unique solution to some restricted linear quaternion equations. The findings of this paper extend some known results in the literature.  相似文献   

16.
In this paper we consider the probability density function (pdf) of a non-central χ2 distribution with arbitrary number of degrees of freedom. For this function we prove that can be represented as a finite sum and we deduce a partial derivative formula. Moreover, we show that the pdf is log-concave when the degrees of freedom is greater or equal than 2. At the end of this paper we present some Turán-type inequalities for this function and an elegant application of the monotone form of l'Hospital's rule in probability theory is given.  相似文献   

17.
In this paper we obtain some characterizations of Besov spaces and α-Bloch spaces on the unit ball of Cn, which extend some results in the settings of the unit disk.  相似文献   

18.
《Quaestiones Mathematicae》2013,36(4):553-562
Abstract

In this paper, we study the formula for a product of two Euler poly-nomials. From this study, we derive some formulae for the integral of the product of two or more Euler polynomials.  相似文献   

19.
In this paper we introduce some polyhedra in Grassman manifolds which we call Grassmannian simplices. We study two aspects of these polyhedra: their combinatorial structure (Section 2) and their relation to harmonic differential forms on the Grassmannian (Section 3). Using this we obtain results about some new differential forms, one of which is the classical dilogarithm (Section 1). The results here unite two threads of mathematics that were much studied in the 19th century. The analytic one, concerning the dilogarithm, goes back to Leibnitz (1696) and Euler (1779) and the geometric one, concerning Grassmannian simplices, can be traced to Binet (1811). In Section 4, we give some of this history along with some recent related results and open problems. In Section 0, we give as an introduction an account in geometric terms of the simplest cases.  相似文献   

20.
In this paper, we study the complete bounded λ-hypersurfaces in the weighted volume-preserving mean curvature flow. Firstly, we investigate the volume comparison theorem of complete bounded λ-hypersurfaces with |A|≤α and get some applications of the volume comparison theorem. Secondly, we consider the relation among λ, extrinsic radius k, intrinsic diameter d, and dimension n of the complete λ-hypersurface,and we obtain some estimates for the intrinsic diameter and the extrinsic radius. At last, we get some topological properties of the bounded λ-hypersurface with some natural and general restrictions.  相似文献   

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