Regular Magnetic Monopole from Generalized ＇t Hooft Tensor

It is well known that ＇t Hooft-Polykov magnetic monopole regularly realizes the Dirac magnetic monopole in terms of a two-rank tensor, i.e. the so-called ＇t Hooft tensor in three-dimensional space, which has been generalized to all even rank ones. We propose an arbitrary odd rank ＇t Hooft tensor, which universally determines the quantized low-energy boundaries of the even dimensional Georgi-Glashow models under asymptotic conditions. Furthermore, the dual magnetic monopole theory is built up in terms of the J-mapping theory.     

推广的Gross-Pitaevskii理论中的涡旋问题(英文)

利用推广 Gross- Pitaevskii方程 ,分别研究了 (2 +1 )维时空和 3维空间的 Bose- Einstein凝聚体中涡旋的拓扑结构 .这一推广的方程能够被用于非均匀并且高度非线形的 Bose- Einstein凝聚系统 .利用Φ映射拓扑流理论 ,给出了基于序参数的涡旋速度场,以及该速度场的拓扑结构 .最后 ,仔细地探讨了这两种 Bose- Einstein系统中涡旋的各种分支条件.We studied the topological structure of vortex in the Bose-Einstein condensation with a generalized Gross-Pitaevskii equation in (2+1)-dimensional space-time and 3-dimensional space, respectively. Such equation can be used in discussing Bose-Einstein condensates in heterogeneous and highly nonlinear systems. An explicit expression for the vortex velocity field as a function of the order parameter field is derived in terms of the Φ -mapping theory, and the topological structure of ...     

SO(n)规范势的可分解理论

使用几何代数方法,研究了n维紧致黎曼流形上SO(n)规范势(自旋联络)的一般分解理论,建立了SO(n)规范场用球丛上单位矢量场n分解的一般表达式.由此,分别得到了U(1)规范场和U(2)规范场用单位矢量场n分解的一般形式.     

SU2规范理论中的规范真空效应

阐明无须通常自发破缺而能使规范粒子具有质量的理论与目前一些规范理论之间存在着联系。     

Topological Properties of Spatial Coherence Function

The topological properties of the spatial coherence function are investigated rigorously. The phase singular structures （coherence vortices） of coherence function can be naturally deduced from the topological current, which is an abstract mathematical object studied previously. We find that coherence vortices are characterized by the Hopf index and Brouwer degree in topology. The coherence flux quantization and the linking of the closed coherence vortices are also studied from the topological properties of the spatial coherence function.     

Vortex lines in a ferromagnetic spin-triplet superconductor

Based on Duan's topological current theory, we show that in a ferromagnetic spin-triplet superconductor there is a topological defect of string structures which can be interpreted as vortex lines. Such defects are different from the Abrikosov vortices in one-component condensate systems. We investigate the inner topological structure of the vortex lines. The topological charge density, velocity, and topological current of the vortex lines can all be expressed in terms of δ function, which indicates that the vortices can only arise from the zero points of an order parameter field. The topological charges of vortex lines are quantized in terms of the Hopf indices and Brouwer degrees of φ-mapping. The divergence of the self-induced magnetic field can be rigorously determined by the corresponding order parameter fields and its expression also takes the form of a δ-like function. Finally, based on the implicit function theorem and the Taylor expansion, we conduct detailed studies on the bifurcation of vortex topological current and find different directions of the bifurcation.     

K_(L3)介子衰变

本文通过强作用K-π中间态,利用色散关系理论计算了Г(K_(μ3)~+)/Г(K_(3)~+),Г(K_2~0→πμ~+ν)/Г(K_2~0→πe~+ν),{Г(K_2~0→πe~+ν)+Г(K_2~0→πe~-ν)}/Г(K_(3)~+)分支比及K_(μ3)~+衰变中的μ谱,当选择定则|ΔI|=1/2及ΔS=+ΔQ被破坏,并且I_x=1/2及I_x=3/2的振幅f~[(3/2)(1/2)](0)及f~[(3/2)(3/2)](0)不等时,上述分支比与实验能很好符合。在本文的理论中,形式因子不是常数。     

双折射光纤中非线性耦合Schr?dinger方程的小振幅孤波解

采用小振幅孤波近似法，得到非线性耦合Schr?dinger方程决定的双折射光纤中的小振幅孤波解，它们可以同时存在于正常色散区或者分别处于正常和反常色散区． 关键词：