SU(1,1)群的非齐次逆微分实现

利用玻色振子的逆算符构造了SU(1,1)群的生成元和不可约表示的相干态,导出了SU(1,1)群的非齐次逆微分实现.     

SU(2)与SU(3)自偶Yang-Mills自由源场方程的完全可积系统的研究

本文借助调和映射理论用八维Rieman流形描述了SU(2)与SU(3)自偶Yang-Mills自由源场方程的完全可积系统。确定了16个独立的Killing矢量场;构造了解到解映射的两个变换群;并据逆散射方法提出并阐述了关于该系统完全可积性的猜想。     

确定原子基态的普遍公式

本文根据泡利原理和洪德定则,用SU(4l+2)群的约化群链SU(4l+2)→SU(2)×SU(2l+1)将状态分类的方法,得到了确定原子基态的普遍公式。     

SU(2)与SU(3)自偶Yang-Mills自由源场方程的完全可积系统的研究

本文借助调和映射理论用八维Rieman流形描述了SU(2)与SU(3)自偶Yang-Mills自由源场方程的完全可积系统.确定了16个独立的Killing矢量场;构造了解到解映射的两个变换群;并据逆散射方法提出并阐述了关于该系统完全可积性的猜想.     

自旋体系的一般SU(2)相干态

本文引进自旋体系的一般SU(2)相干态,讨论它的压缩特性、反聚束特性及其产生。证明当SU(2)群收缩到谐振子群时,一般SU(2)相干态转变成一般Glauber相干态,并给出有关的收缩结果。 关键词：     

大统一对手征前子模型的限制

本文由WNW条件^[1]出发,分析了大统一对禁闭弱作用手征前子模型的限制.我们发现超色群不能是SU(N)群及SO(M)群,而半单群SU(N)×SO(M)及SU(N)×SU(M)作为超色群是可行的.通过重整化群计算,得到在合理的能标10^{14GeV≤Λ_u≤1019GeV及300GeV≤Λ_MC≤1TeV下,可能的候选者是:G_MC=SU(3)×SO(5)及G_U≥SU(11);G_MC=SU(3)×SU(2)及G_U≥SU(12).}     

具有奇异夸克系统的重子波函数

在重子波函数中考虑了s夸克与u,d夸克质量的差别,构造了把坐标空间与味空间联合成SU(3)_rf的SU(3)_rf×SU(2)_s×SU(3)_c群分类夸克间全反对称的重子波函数.与不考虑s夸克与u,d夸克质量差的SU(n)_r×SU(3)_f×SU(2)_s×SU(3)_c群分类的波函数作了比较,它们的相互作用能量矩阵元有明显的差别.     

超导体中库珀对的SU(2)与Glauber相干态——库珀对与约瑟夫森超流性的量子特性研究

本文利用类自旋算符证明BCS超导基态波函数是单个库珀对SU(2)相干态波函数的直积、且在一定条件下为库珀对体系的SU(2)相干态波函数。若两块处在BCS超导基态的超导体耦合在一起,则体系仍处在SU(2)相干态,且在一定条件下为定态超辐射态。在SU(2)群到谐振子群的收缩下,库珀对的SU(2)相干态变为Glauber相干态。讨论了两种情形下库珀对与约瑟夫森超流性的量子噪声、分布及二阶相关特性。     

SU(6)对称性和(3/2)~+重子电磁质量差

(1/2)~+和(3/2)~+重子属于SU(6)群的56维表示。假定总磁矩按照正规表示变化,除SU(3)对称性给出的结果外,还可以预言     

二维随机三角点阵上SU(2)×SU(2)手征模型β函数的研究

用蒙特卡洛重正化群方法讨论了二维随机三角点阵上SU(2)×SU(2)手征模型的β函数行为,得出它的行为与四维SU(2)规范理论的β函数相似,但强、弱耦合区的过渡更为平滑,不存在尖锐的小峰,标度区从β=1.6开始.     

Inhomogeneous Inverse Differential Realization of Multimode SU(1, 1) Group

The generators and irreducible representationcoherent state of the multimode SU(1, 1) group inBargmann space are constructed by using the inverseoperators of the multimode bosonic harmonic oscillator, and the inhomogeneous inverse differentialrealization of the multimode SU(1, 1) group arederived.     

The Branching Rules for SU(2N)⊃(SU(N)⊃O(N)⊃O(3))⊗SU(2) and the Highest Weight States for SU(N) and O(N)

Simple analytical recurrent formulae of the branching rules for group chain SU(2N)⊃(SU(N)⊃O(N)⊃O(3))⊗SU(2) are obtained. The highest weight states for the irreducible representations [2^al^b] or {nS} of group SU(N) and for the irreducible representations (2^α1^β) or (υS) of group O(N) are constructed respectively     

Negative dimensions and E7 symmetry

The invariant length and volume which characterize the Lorentz group are extended to a quadratic and a quartic supersymmetric invariant. The symmetry group of the Grassmann sector can be SO(2), SU(2), SU(2) × SU(2) × SU(2), Sp(6), SU(6), SO(12) or E₇, which are also possible global symmetries of extended supergravities. Diophantine conditions which yield this classification follow from the corresponding conditions in d bosonic dimensions by the replacement d → ?d.     

Hadron wave functions in lattice QCD

Coulomb gauge quark-antiquark wave functions for the pion and the rho are calculated in the valence approximation on a lattice 8³ × 16. We use gauge group SU(2) at β of 2.431 corresponding to an inverse lattice spacing of 1100 ± 100 MeV. The wave functions fall off significantly over the size of the box, are rotationally invariant except at the box's boundary, and are nearly independent of the lagrangian quark mass.     

The renormalization flow in the adjoint SU(2) lattice Higgs model

Applying the Monte Carlo renormalization group method we investigate the flow of coupling constants for the 8⁴ and 16⁴ SU(2) lattice Higgs model with triplet Higgs fields. The couplings of the renormalized actions are determined using Schwinger-Dyson equations. From the flow we find new evidence for the existence of a tricritical point at finite values of the inverse gauge coupling β but no indication for a discontinuity fixed point.     

Compensation and nonlinear theory

The existence is demonstrated of a new class of compensating fields in addition to the well-known fields of Yang-Mills type that lead to nonlinear field theory and induce a non-Euclidean geometry of spacetime. The cases of the Lorentz group, U(1), SU(2), SU(3), SU(2, 2) and coordinate transformations are considered.     

TRIGONOMETRIC SU(N) GAUDIN MODEL

In this paper, we obtain the eigenstates and the eigenvalues of the Hamiltonians of the trigonometric SU(N) Gaudin model based on the quasi-classical limit of the trigonometric SU(N) chain with the periodic boundary condition. By using the quantum inverse scattering method, we also obtain the eigenvalues of the generating function of the trigonometric SU(N) Gaudin model.