非阿贝尔规范势分解的几何表述

从无挠嘉当几何的观点出发讨论了非阿贝尔规范势的分解.借助γ-矩阵和洛仑兹群生成元的对易关系,得到相应的“同位旋空间”的规范势的表达式.     

关于π-π共振态

本文从解析性和么正性出发,对具有共振行为的π-π散射分波振幅的形式作了普遍的讨论。理论中包含了一个标志与Breit-Wigner共振形式偏离的函数F_(l)^I)(v),当F_(l)^I)(v)=1时,振幅恰好具有Breit-Wigner共振形式。具体计算表明,这个函数与1有一定的偏离。利用ND^-1方法、交叉对称性、ρ与f⁰的Bootstrap近似,将所得到的振幅与-90的共振解。计算中考虑了非弹性过程和负半轴色散积分的贡献。计算结果得到,对于J=1,I=1态,v_R=6.4,Г₁=0.12;对于J=2,I=0态,v_(R2)=20,Г₂=0.016。这相当于m_ρ=762MeV,m_f⁰=1283MeV,ρ的半宽度约为45MeV。它们与目前的实验数据是很好符合的。     

π-π共振态

本文目的在于从解析性、么正性和交叉对称性出发,利用色散关系理论对具有共振行为的分波振幅的形式作一些讨论,并计算P,D波共振参数。在讨论中包含了一个标志与Breit-Wigner共振公式偏离的函数F_((l)I)(v),当F_((l)I)(v)=1时,振幅具有Breit-Wigner共振形式。通过以后的计算表明,这个函数与1有一定的偏离,但在共振点附近的一个较大区域内该偏离不大,因此看来Breit-Wigner形式还是个较好的近似。计算结果给出ρ和f~0粒子的共振参数为     

不可易规范场的对偶荷

本文讨论了不可易SU(2)规范场的各种规范不变物理量——电荷、对偶荷(磁荷)、电磁场以及有质量矢粒子场的表达式与关系,特别是对偶荷(磁荷)与电荷算符同位旋方向的大范围拓扑性质的关系。     

关于广义相对论中福克的谐和坐标条件

本文利用半度规表象的数学工具对福克的谐和坐标条件进行了比较详细的讨论,证明了该条件具有充分性,但却不具有唯一性。     

Einstein-Cartan引力理论中的广义协变守恒定律

本文从广义Noether定理出发,对Einstein-Cartan引力理论中一般拉氏量所对应的守恒定律作了普遍的讨论,并由广义位移交换x^μ＇=x^μ+e_d^μb^a得到了包含挠率的一般拉氏密度所对应的广义协变能量动量守恒定律,并论述了超势存在的必然性。它是文献[1]和[2]理论的自然推广。 关键词：     

广义相对论中广义协变的角动量守恒定律

利用Einstein引力-物质系统的局域Lorentz不变性获得了相应于角动量的守恒定律.由于存在超势,总的流是自然守恒的且只依赖于标架(vierbein)最后给出两个具体而典型的实例,以说明此守恒定律的合理性. 关键词：     

Topological quantization of disclination points in three—dimensional liquid crystals

Using the φ-mapping method and topological current theory, we study the inner structure of disclination points in three-dimensional liquid crystals. By introducing the strength density and the topological current of many disclination points, it is pointed out that the disclination points are determined by the singularities of the general director field and they are topologically quantized by the Hopf indices and Brouwer degrees.     

Topological Effect of Reduced Quantum Trajectory in Coherence and Decoherence

The topological expression of the reduced quantum trajectory is given by using C-mapping topological current theory. The topological expression is used in study of the coherence and the decoherence. We find the expression of vorticity for decoherence has a similar form as that for coherence. A topological reason leading to the decoherence is given and a new parameter is defined to indicate the coherence degree. The parameter is different from the damping factor because it relates to the topological structure of the reduced quantum trajectory.     

The Branch Process of Skyrmions in the Fractional Quantum Hall Effect

The branch process of the skyrmions in the fractional quantum Hall effect is studied from the Ф-mapping topological current. It is shown that there exists a field ζ whose Hopf indices and Brouwer degrees characterize the topological structure of the skyrmions. Based on the bifurcation theory of the Ф-mapping theory, it is found that the skyrmions can be generated or annihilated at the limit points and they encounter, split or merge at thebifurcation points of the new field ζ.