铀原子跃迁的自发发射分支比、相对振子强度、跃迁几率和能级寿命的测量与计算

本文首次提出用激光诱导敏化荧光光谱法测量铀原子5f³6d7s7p-⁷M₇,5f6d7s7p-^?L₆,5f³7p-⁵K₆,5f²6d²7s²-⁵L₇,5f₄d7s-⁷L₆,(17070cm^-1)-⁵L₆,5f²6d²7s²-⁵K₆,5f³6d7s7p-⁷L₅,5f³6d7s7p-⁷K₅,5f²6d²7s2-⁵I₅ 10个能级向基态跃迁的自发发射分支比;采用空心阴极发射光谱法测量了它们的相对振子强度;测量并计算了这些能级的寿命及其基态跃迁的自发发射跃迁几率,获得了较高的测量准确度和分辨率。     

关于环Fpm+uFpm+u2Fpm上循环码的注记

本文研究了环F_p^m+uF_p^m+u²F_p^m上长度为p^s的循环码分类.通过建立环F_p^m+uF_p^m+u²F_p^m到环F_p^m+uF_p^m的同态,给出了环F_p^m+uF_p^m+u²F_p^m上长度为p^s的循环码的新分类方法.应用这种方法,得到了环F_p^m+uF_p^m+u²F_p^m长度为p^s的循环码的码词数.     

用Coulomb爆炸实测4HeD＋的键长

用1.468 0 MeV ⁴HeD^＋在超薄无衬碳膜中的Coulomb爆炸,获得⁴HeD^＋的键长实测值为(0.097±0.003)nm.讨论了⁴HeD^＋的形成机理.介绍了⁴HeD^＋原始束中D₃＋污染的降低,及产物⁴HeD^＋＋和D^＋高分辨能谱测量中的粒子鉴别方法等.     

一类修正的KdV方程的特征问题

本文将一类修正的Kdv方程u_t+auu_x + au²u_x +μu_x³+β(1+u²)(1+u_{x^{2)(1+ut2)(1+ux32)(ux3+σux}}     

稀土区质子滴线附近新的β缓发质子衰变

用重离子束³⁵Ar轰击缺中子同位素靶⁹²Mo,⁹⁶Ru和¹⁰⁶Cd产生了质子滴线附近的β缓发质子先驱核¹²⁵Nd,¹²⁸Pm,¹²⁹Sm,¹³⁷Gd和¹³⁹Dy.配合氦喷嘴带传输系统用“p-γ”符合方法对它们进行了肯定的鉴别.它们的半衰期分别为：0.60(15)s,1.0(3)s,0.55(10)s,2.2(2)s和0.6(2)s.用统计模型理论计算对实验测定的¹²⁵Nd, ¹²⁹Sm,¹³⁷Gd和¹³⁹Dy的,和从前报道的¹²¹Ce,¹³⁵Gd的β缓发质子衰变的能谱和分支比进行了拟合.提取出¹²¹Ce, ¹²⁵Nd, ¹²⁹Sm,¹³⁵Gd, ¹³⁷Gd和¹³⁹Dy的基态自旋-宇称分别为5/2^±,5/2^±,1/2⁺(或3/2⁺),5/2⁺,7/2^±和7/2⁺.实验初步指认的基态自旋 宇称值与Nilsson能级图的预言值相符间接表明这6种核素的基态具有大形变,形变参数β₂在0.3左右.     

不可定向流形上Laplace算子的特征值

本文的目的是应用定向复盖流形M,正交分解∧^kM=∧^kM⁺⊕∧^kM^-以及同构π^*:∧^kM→∧^kM⁺,将n维定向紧致C^∞Riemann流形(M,g)上的Laplace算子△:∧^kM→∧^kM的特征值的一些结果和Liouville定理推广到n维不可定向紧     

附加广义函数的几个导数

作者证明了广义函数（ｘ±ｉ０）^λｌｎ^k（ｘ±ｉ０）的表示定理,给出了附加广义函数的导数：（ｌｎ^kｘ_±）＇,（ｘ^λ_±ｌｎ^kｘ_±）＇,（ｘ^-n_±ｌｎ^k＇ｘ_±）＇,（ｄ／ｄｘ）｛（ｘ±ｉ０）^λｌｎ^k（ｘ±ｉ０     

S4(1)中常数量曲率的完备超曲面

本文把[1]的结论推广到超曲面是完备的情形,即我们证明了:设M³是单位球面S⁴(1)中常平均曲率及常数量曲率的完备超曲面。若S≤H²+6,则S只能等于1/3H²,3/4H²—1/4(H⁴+8H²)^1/2+3,(3/4)H²+1/4(H⁴+8H²)^{1/2相似文献}   

调和映照与常平均曲率的曲面

本文利用三维欧氏空间Ｒ^３或三维Ｍｉｎｋｏｗｓｋｉ空间Ｒ^2.1中常平均曲率的曲面与Ｓｉｎｈ－Ｌａｐｌａｃｅ方程和Ｓｉｎｈ－Ｇｏｒｄｏｎ方程之间的关系，研究了常平均曲率的曲面与Ｒ²到Ｓ²（或Ｈ²）及Ｒ^1.1到Ｓ^1.1（＋１）的调和映照之间的内在联系，并且提供了一种构造到球面Ｓ²，Ｈ²和Ｓ^1.1     

C2*d3Πg态的布居反转和弛豫动力学

本文给出了在5—43乇五种不同氩气压力和0.07—1乇钠蒸气压下利用Na+CCl_4反应得到的C₂^*d³Π_g到a³П_u态跃迁的△v=0带序的化学发光光谱。假定C₂^*d³Π_g v=6为优先生成,并然后经碰撞逐渐弛豫到低振动能级,这样就可以计算出C₂^*d³Π_g态的总的脱活速率和振动弛豫速率。计算结果是:在温度为 340℃时,在氩气中其总脱活速率为4.1×10⁶乇^-1秒^-1,振动弛豫速率为2.2×10~6乇^-1秒^-1。在氮气中这两个传能速率则要略高一些。C₂^*d³Π_g态被钠原子猝灭的速率约为10⁷乇^-1秒^-1,约比气动碰撞速率高一个数量级。这是由于发生电荷传递形成了Na⁺C₂^*-中间络合物所引起。     

New β-delayed proton decays in the rare-earth region near the proton drip line

The β-delayed proton precursors 125Nd, 128Pm, 129Sm, 137Gd and 139Dy near the proton drip line were produced by the irradiation of 92Mo, 96Ru and 106Cd with an 36Ar beam, and conclusively identified for the first time by using proton-gamma coincidence in combination with a He-jet tape transport system. Their half-lives were determined to be 0.60(15)s,1.0(3)s,0.55(10)s,2.2(2)s and 0.6(2)s, respectively. The measured energy spectra of β-delayed protons and estimated proton branching ratios to the final states in "daughter" nuclei for the precursors 125Nd, 129Sm, 137Gd and 139Dy, as well as the previously reported ones for the precursors 135Gd and 121Ce, were fitted by a statistical model calculation. The ground-state spins and parities of 121Ce, 125Nd, 129Sm, 135Gd, 137Gd and 139Dy were then assigned as 5/2±,5/2±,1/2±(or 3/2+),5/2+,7/2± and 7/2, respectively. The consistency between the experimental spin-parity assignment and the predicted Nilsson diagrams indirectly indicates that the ground states of 121Ce, 125Nd, 129Sm, 135Gd, 137Gd and 139Dy are highly deformed with β2～0.3.     

Semigroups satisfying (xy)m = xmym

In this paper we characterize Archimedean semigroups with idempotents satisfying (xy)^m = x^my^m as exactly those semigroups which are a retract extension of a completely simple semigroup satisfying (xy)^m = x^my^m by a nil semigroup satisfying (xy)^m = x^my^m. Regular semigroups satisfying (xy)² = x²y² are exactly those semigroups which are a spined product of a band and a semigroup which is a semilattice of Abelian groups. A semigroup which is a nil extension of a regular semigroup satisfies (xy)² = x²y² if and only if it is a retract extension of a regular semigroup satisfying (xy)² = x²y² by a nil semigroup satisfying (xy)² = x²y²     

Lp (?m × ?n) boundedness for the Marcinkiewicz integral on product spaces

L^p(R^m × Rⁿ) boundedness is considered for the multiple Marcinkiewicz integral. Some size conditions implying the L^p(R^m × Rⁿ) boundedness of the multiple Marcinkiewicz integral for some fixed 1 > p > ∞ are obtained.     

Large time behavior of solutions for critical and subcritical complex Ginzburg-Landau equations in H<Superscript>1</Superscript>

Considering the Cauchy problem for the critical complex Ginzburg-Landau equation in H¹(Rⁿ), we shall show the asymptotic behavior for its solutions in C(0, ∖;H¹(Rⁿ)) ∩ L²(0, ∖;H^1,2n/(n-2)(R²)), n≥3. Analogous results also hold in the case that the nonlinearity has the subcritical power in H¹(Rⁿ), n≥1. Dedicated to Professor Zhou Yulin for his 80th birthday.     

子流形的测地曲率

该文研究了黎曼齐次空间G/H中子流形M~p和子流形N~q的交M~p∩gN~q的测地曲率,其中g∈G为等距群,并把M~p∩gN~q的第二基本形式表示成M~p和N~q的测地曲率以及它们之间的夹角的组合.     

On a family of relative quartic Thue inequalities

We consider the relative Thue inequalities

|X⁴−t²X²Y²+s²Y⁴|?²|t|−²|s|−2,     

广义逆多项式模的Attached素理想

设R是有单位元1的结合环,(S,≤)是严格全序Artin幺半群,M_R是右R-模,Att(M_R)与Att([M~(S,≤)]_([[R~(S,≤)]]))分别表示模M_R与广义逆多项式模[M~(S,≤)]_([[R~(S,≤)]])的所有Attached素理想组成的集合.该文主要讨论了广义幂级数环[[R~(S;≤)]]广义逆多项式模[[R~(S;≤)]]的Attached素理想的相关性质,证明了在一定条件下,有Att([M~(S,≤)]_([[R~(S,≤)]])={[[PR~(S;≤)]]P∈Att(M_R)}.这一结论表明广义逆多项式模([M~(S,≤)]_([[R~(S,≤)]])的Attached素理想在一定条件下可以用模M_R的Attached素理想来刻画,推广了Annin S在文献[1]中关于斜多项式环上逆多项式模的Attached素理想的相关结论.     

Reverse Order Law for the Group Inverse in Semigroups and Rings

In this paper, we provide equivalent conditions for the two-sided reverse order law for the group inverse (ab)^# = b ^# a ^# and (ba)^# = a ^# b ^#, in semigroups and rings. Moreover, we prove that, under finiteness conditions, these conditions are also equivalent with the one-sided reverse order law (ab)^# = b ^# a ^#.     

具有奇异性的周期椭圆算子的绝对连续性

该文研究周期椭圆算子sun from(j,l=1) to d D_(jw)(x)a_(jl)D_l+V(x)在R~d(d≥3)中的谱性质,其中A=(a_(jl))是d×d阶的实常值正定矩阵,V(x)和w(x)是关于相同格点的周期标量函数,并且w(x)是正的.利用文中第一作者建立的d-环面上的一致Sobolev不等式,证明了该算子的谱是纯绝对连续的,如果V∈L_(loc)~(2pd/(d+2p))(R~d)且w∈A_(1+α)~(p,∞)(T~d)∩L~∞(T~d)(α0,p≥d),或者V∈L_(loc)~(2d/3)/(R~d),ω∈C~1(T~d),或者V∈L_(loc)~(d/2)(R~d),w∈L_(2,loc)~(d/2)(T~d).     

Dense Subsets of H1/2(S2, S1)

We prove that the maps from S ² intoS ¹ having a finite number of isolated singularities ofdegree ±1 are dense for the strong topology inH ^1/2(S ², S ¹). We also prove that smooth maps are densein H ^1/2(S ², S ¹)for the sequentially weak topology andthat this is no more the case in H ^s (S ², S ¹) for s> 1/2.