THE EFFECT OF CHARGE CARRIED BY HIGGS FIELDS ON THE PHASE STRUCTURE OF THE 4-d U(1) VARIED-MODULAR HIGGS MODEL+

In this paper,the phase diagram of the four-dimensional U(1) Higgs model with the charge-two and varied-modular scalar fields is simulated.The simulation is performed on a 4⁺ simple hypercubical lattice by using Monte-Carlo metnod(modified Metropolis method). Wherever the Monte Carlo simulation has been brought into play by us,the phase transitions between the broken-symmetry and the restored-symmetry phase always exist and are of first-order. Our result provides the Monte-Carlo evidence for H.Georgi's estimation again,and supports the theory in which quarks and gluons are confined exact1y.     

THE PHASE STRUCTURE OF 4-d U(1) HIGGS MODEL WITH RADIAL EXCITATION

On 4⁴ regular lattice, the phase structure of U(1) Higgs model-a U(1) lattice gauge theory coupled to a scalar (Higgs) field-has been studied by using modified Metropolis algorithm without freezing the radial excitation of the Higgs field carrying fundamental charge. The result shows that Higgs and confined regions are completelg separated by a first-order phase transition line and the phase diagram of our model.consists of three distinct phases. This feature greatly differs from that of the model with radially frozen Higgs field discussed by D.J.E.Callaway and L.J. Carson.^[1]     

甲烷分子基频谱带谱线强度的计算

此文用代数张量法导出甲烷分子两个基频谱带的转动跃迁矩阵元，对这两个谱带的谱线强度进行了计算和比较，给出满意的结果。     

零色散波长的测量与计算

微机通过接口电路自动控制红外光栅单色仪，对光纤材料进行零色散波长的精确测量。     

固定床气体吸附过程温升的计算模型

本文采用等温模型、非等温绝热模型和非等温定壁温模型对二氧化碳占10%的二氧化碳氮气双组分气体在吸附剂沸石13X上吸附过程进行了数值模拟,并对结果进行了分析.结果表明三种模型计算的结果差别很大,非等温非绝热模型的分离效果,温升幅度均处于另两种模型之间,温度对吸附过程有着巨大的影响,必须考虑边界条件和吸附剂热物性的影响.采用非等温非平衡模型进行吸附过程模拟是最合理的.     

IMPROVEMENT OF THE COUPLED CHANNEL OPTICAL MODEL CALCULATION

By using the iteration of the linear relationship between two sets of radial wavefunctions at two neighboring points, the coupled channel optical model calculation isimproved. The merits of this method are: (i) No assumption needs to be made on the valuesof the radial wave functions near the origin. (ii) Multi-point formula can be con-veniently adopted at the starting stage, (iii) Iteration process can always be proceed-ed to the external region from the origin.     

NOTE ON EXTREMES OF SU(n) HIGGS POTENTIALS

The problem of symmetry breaking of Su(n) is discussed more completely with Higgs scalar fields belonging to an adjoint representation or an adjoint together with a fundamental one.     

核子配对壳模型计算中的多体效应

戴断到Ｓ,Ｄ子空间的核子配对壳模型用于原子核＾１２８－１３４Ｘｅ和＾１３０－１３６Ｂａ的计算。为考虑多体效应,Ｓ,Ｄ对分别用变分法和Ｔａｍｍ－Ｄａｎｃｏｆｆ近似给定。用一个含有三个参数的哈密顿量系统地描述了Ｘｅ和Ｂａ同位素的能谱,本征态和电磁跃迁的强度。所得结果和实验结果符合得较好,并且在一定程度上改善了用表面δ相互作用决定的Ｓ,Ｄ对所得结果中的不足之处。     

实际气体多变功计算模型研究

本文研究了两种实际气体多变功的直接积分数值求解模型,并编制了相应的计算程序.通过与平均过程指数法求得的多变功结果对比发现,直接积分求解模型较平均过程指数法计算得到的多变功具有更高的精度.当压比较高时,平均指数法得到的多变功误差明显增大甚至超过了4%,而直接积分模型计算得到的多变功在高压比下仍具有较高精度.     

The classical su(2) invariance of the su(2) q -invariant XXZ spin chain

The XXZ spin-chain Hamiltonian has been constructed to be su(2) _q -invariant, but naively does not appear to be su(2)-invariant. However, using recently discovered deforming maps between representations of su(2) _q and corresponding representations of su(2), we prove a theorem which states that if a Hamiltonian is su(2) _q -invariant, it is also su(2)-invariant. The theorem generalizes to any quantized Lie algebra.     

钆硅锗确有巨磁热效应

室温磁制冷在近几年取得重要进展,尤其是造出了高性能的样机和发现了巨磁热材料,但近来因为巨磁熵变发生在一级相变点,在磁熵变的计算上国际诸研究小组出现了分歧,本文对此进行了详细的讨论,给出了统一的处理方法,结果表明钆硅锗的确具有巨磁热效应。     

Non-periodic Ishibashi states: the su(2) and su(3) affine theories

We consider the su(2) and su(3) affine theories on a cylinder, from the point of view of their discrete internal symmetries. To this end, we adapt the usual treatment of boundary conditions leading to the Cardy equation to take the symmetry group into account. In this context, the role of the Ishibashi states from all (non-periodic) bulk sectors is emphasized. This formalism is then applied to the su(2) and su(3) models, for which we determine the action of the symmetry group on the boundary conditions, and we compute the twisted partition functions. Most if not all data relevant to the symmetry properties of a specific model are hidden in the graphs associated with its partition function, and their subgraphs. A synoptic table is provided that summarizes the many connections between the graphs and the symmetry data that are to be expected in general.     

原子势模型理论中精细结构的计算公式

应用微扰理论导出了最弱受约束电子势模型理论中精细结构的计算公式，该公式可直接用于单价原子（离子）能级的精细结构的计算。     

非平衡大气辐射强度与透过率的Line-By-Line计算模式

导出了非局域热力学平衡(NLTE)大气辐射强度与透过率的基本公式,以及NLT和LTE的线强、光学厚度和透过率的关系。假设转动能级是热力学平衡(LTE)的,建立了一个精确的Line-by-LineNLTE辐射强度与透过率的有效算法来计算较高层行星大气红外活跃样品的辐射强度。计算了地球大气¹⁶O₃9.6μm带在白天、夜晚和NLTE、LTE条件下的临边光谱辐射强度、线积分辐射强度、带积分辐射强度和合成光谱辐射强度,揭示了NLTE辐射强度对LTE辐射强度有显著而重要的偏离。     

THE VARIATIONAL CALCULATION OF MASS GAP IN 2+1 DIMENSIONAL SU(2) LGT

A variational calculation of the mass gap in 2+1 dimensional SU(2) lattice gauge theory by using a Hamiltonian which possesses exact ground state and correct continuum limit is made.In the range 1.3≤1/g²≤7,a good scaling behaviour am=2.28g² is obtained,which is in agreement with weak-coupling perturbation theory and the results obtained by another Hamiltonian which does not possess correct continuum limit.     

三原子分子的U（5）模型

对于线型三原子分子，其振转谱利用Ｕ（５）群的不可约表示进行分类。动力学对称性Ｕ（５）Ｏ（５）Ｏ（３）被研究，并用来讨论了ＨＣＮ分子的能谱，计算结果与实验结果能较好地吻合。     

THE WILSON LOOP EXPECTATION VALUES IN 2-AND 3-DIMENSIONAL su(2) LGT

An improved Monte Carlo scheme is applied to the computation of the expectation values of nxm Wilson loops in both 2-and 3-dimensional SU(2) lattice gauge theories.The results are compared with those simulated by the discrete group Y₁₂₀ and the exact results in two dimensions.     

su q (2)-invariant harmonic oscillator

We propose a q-deformation of the su(2)-invariant Schrödinger equation of a spinless particle in a central potential, which allows us not only to determine a deformed spectrum and the corresponding eigenstates, as in other approaches, but also to calculate the expectation values of some physically-relevant operators. Here we consider the case of the isotropic harmonic oscillator and of the quadrupole operator governing its interaction with an external field. We obtain the spectrum and wave functions both for q R⁺ and generic q S ¹, and study the effects of the q-value range and of the arbitrariness in the su _q (2) Casimir operator choice. We then show that the quadrupole operator in l = 0 states provides a good measure of the deformation influence on the wave functions and on the Hilbert space spanned by them.