用改进的格点哈密顿量计算2+1维QCD0++胶球质量

用改进的格点哈密顿量和截断本征方程法计算2+1维QCD 0⁺⁺胶球质量,结果显示较好的标度行为.     

2+1维SU(2)规范理论的胶球质量

本文对具有严格基态解的格点规范哈密顿量采用变分法,计算了2+1维SU(2)规范群的胶球质量.得到在0≤1/g²≤7范围内,标度行为是am=2.28g²,与弱耦合展开结果一致.     

用改进的格点哈密顿量计算2+1维SU(2)规范场胶球质量

用改进的格点哈密顿量和截断本征方程法计算2+1维SU(2)规范场胶球质量,结果在广阔的耦合区内(1.0≤1/g²≤8.0)显示出极好的标度行为.     

2+1维SU(2)群胶球质量的MC计算

本文对具有严格基态解的格点规范哈密顿量,给合变分法和Monte Carlo方法,在18²格点上,计算了2+1维SU(2)规范群的正二十面体分立点群的胶球质量,在0<1/g²范围内,得到与SU(2)群的解析变分法^[3]一致的结果.验证了质量隙的标度行为是am=2.3g².     

2+1维SU(2)格点胶球质量的变分计算

本文对具有严格基态解和正确经典连续极限的格点规范哈密顿量,采用变分法,计算了2+1维SU(2)规范群的胶球质量,得到在1.3≤1/g²≤7范围内,标度行为是am=2.28g²,这与弱耦合展开及另一没有正确连续极限的哈密顿量的结果一致.     

2+1维SU(2)格点规范场真空态的研究

对2+1维SU(2)格点规范场论真空态进行研究,推导出连续极限下真空波函数中参数μ₀和μ₂的普适表达式.并用基于改进的哈密顿量的截断本征方程进行数值计算,结果在深度弱耦合区内显示出良好的标度行为.     

2+1维U(1)格点胶球质量的变分计算

本文对具有严格基态解和正确经典连续极限的格点规范哈密顿量,采用变分法,计算了2+1维U(1)规范群0^+－和0⁺⁺胶子态的质量,在深度弱耦合区,得到am(0^+－)随1/g²增大而指数减少,而am(0⁺⁺)=2.78g².     

3+1维格点规范理论0++和0－－胶球质量

在哈密顿形式下,把无规相近似方法从(2+1)维SU(2)格点规范场推广到3+1维SU(3)格点规范场,利用这种改进的耦合集团展开方法计算3+1维SU(3)的真空波函数和0^－－与0⁺⁺胶球质量之比,得到令人满意的结果:γ=m(0－－)m(0++)=1.8578±0.0506.     

蒙特卡罗等效哈密顿量的1+1维检验

用最近发展起来的蒙特卡罗等效哈密顿量新方法,研究了与量子场论中Φ4模型相似的1+1维量子力学系统V(x)=μ²x²+λx⁴(其中μ²<0,λ>0)的低能物理特性.计算了能谱、波函数以及热力学可观察量.获得良好的结果,表明这种新方法有希望推广到多自由度系统和格点规范场论.     

2+1维SU(2)格点规范场胶球质量及胶球波函数的收敛行为

采用截断本征方程的方法研究2+1维SU(2)格点规范场的胶球质量及胶球波函数.计算结果表明:五阶胶球质量Δm/e²与五阶真空波函数的μ₀一样没有表现出良好的收敛行为,在1/g²>0.8区间,胶球质量逐渐下降;胶球波函数μ₀^F和μ₂^F在1/g²>0.8时,趋于平稳,有较好的标度行为.     

钙钛矿结构B位双掺杂LaMg_(0.34)Ni_xFe_(0.66-x)O_3的红外辐射性能

采用溶胶-凝胶法制备了纯的和Mg~(2+)-Ni~(2+)掺杂的LaFeO_3,并对它们在近红外波段的发射率进行了研究和比较。结果表明,34%(摩尔分数)的Mg~(2+)和23%(摩尔分数)的Ni~(2+)掺杂的LaFeO_3即LaMg0.34Ni0.23Fe0.43O_3在0.2~2μm波段的红外发射率达到了0.966,远高于未掺杂LaFeO_3的0.446。Mg~(2+)-Ni~(2+)共掺杂能够显著提高LaFeO_3在近红外波段的发射率的原因在于Mg~(2+)、Ni~(2+)进入铁酸镧的晶格中取代Fe3+,引入了杂质能级,氧空位浓度增加,提高了杂质能级吸收以及氧空位吸收,掺杂引起的晶格畸变使得晶格振动吸收增强;此外,电子在Fe3+和Fe4+之间的极化跃迁,也增强了化合物在相应光谱区域的吸收性能。     

MCeO3：Eu^3＋（M=Sr，Ba）的合成及发光性质研究

利用高温固相反应法合成了Eu^3＋掺杂的MCeO3（M=Sr，Ba）发光粉末样品，采用X射线衍射技术和荧光光谱等测试手段分别对其物相组成和发光性质进行了研究。X射线衍射结果显示，Eu^3＋离子容易替代MCeO3晶格中M^2＋离子的位置。荧光光谱测试结果表明，Eu^3＋掺杂的SrCeO3和BaCeO3样品在紫外波段存在着非常宽的吸收带，峰值分别位于311和320nm左右，它们属于Ce^4＋-O^2-的电荷迁移带，SrCeO3和BaCeO3基质与Eu^3＋离子之间存在着能量转移。在MCeO3：Eu^3＋样品中，Eu^3＋的发射主要来自于^5D0激发态能级，其中以磁偶极跃迁^5D0-^7F1发射强度为最大；此外样品中还存在着较高的^5D1激发态能级的辐射跃迁。SrCe03：EU^3＋样品的发射强度远大于BaCeO3：EU^3＋样品。     

Glueballs and Instantons in Lattice SU(2) Gauge Theory

The SU(2) glueball masses and the gluonic correlation functions in the J^P = 0⁺,2⁺ and 0^- channels are calculated from the cooled and uncooled gauge configurations. The improved action and the anisotropic lattice are used in this work. The instanton-induced attractive force in the 0⁺ channel and the repulsive force in the 0^- channel are confirmed by the Monte Carlo simulation. There is evidence that the instanton vacuum contribution to the 0⁺ glueball mass is significant.     

Quantum orders in an exact soluble model

We find all the exact eigenstates and eigenvalues of a spin-1/2 model on square lattice: H=16g Sum S(y)(i)S(x)(i + empty set x)S(y)(i + empty set x + empty set y)S(x)(i + empty set y). We show that the ground states for g < 0 and g > 0 have different quantum orders described by Z2A and Z2B projective symmetry groups. The phase transition at g = 0 represents a new kind of phase transition that changes quantum orders but not symmetry. Both the Z2A and Z2B states contain Z2 lattice gauge theories at low energies. They have robust topologically degenerate ground states and gapless edge excitations.     

用格子Boltzmann方法模拟MKDV方程

用精确到0(ε)的5速格子Boltzmann模型模拟MKDV方程:u_t+6u²u_x+u_xxx=0,并与MKDV方程的孤子解比较,二者精确吻合. 关键词： 格子Boltzmann方法 MKDV方程 孤子解     

用不变本征算符法求晶面吸附原子的振动模

晶体表面的扩散和缺陷对晶体振动模式的影响是表面物理学研究的一个重要和基本的课题.晶格振动的频率对应于系统的能带.由于晶格中原子的振动不是孤立的,并且晶格具有周期性,所以在晶体中形成格波.格波代表晶体中所有原子都参与的频率相同的振动,又常称为一种振动模.本文讨论在表面吸附位势系数β_0与晶体内部原子的周期位势系数β不同的情况下,晶体表面吸附一个质量为m_0(与晶格原子质量m不同)的原子以后晶格的振动模.采用不变本征算符方法,严格地导出此振动模为ω=((2β(1-coshα))/(hm))~(1/2),其中α=ln[-(mβ_0+m_0(-2β+β_0)+(β_0)~(1/2)((-4mm_0β+(m+m_0)~2β_0))~(1/2)/2m_0β].此结果表明,ω不但取决于吸附位势与吸附原子的质量,也与晶格原子的质量与内位势有关.     

硼组分在BaAl2Si2O8:Eu2+发光材料中的作用

采用高温固相法在弱还原气氛下制备Ba0.955Al2-xBxSi2O8:Eu2+(x=0～0.5)系列荧光粉,研究B3+置换Al3对晶体结构和光谱特性的影响.B3+以类质同相替代BaAl2Si2O8晶格中的Al3+形成部分连续固溶体,随着B3+置换量的增加,晶胞参数a,b,c和晶胞体积V呈线性递减,晶面夹角β呈线性递增...     

Red emission from Mn on a tetrahedral site in MgSiN2

Solubility and photoluminescence properties of Mn²⁺ in MgSiN₂ host lattice are reported in this paper. X-ray diffraction (XRD) analysis shows that Mn²⁺ ions can be totally incorporated into MgSiN₂ host lattice, forming a complete solid solution with MnSiN₂. Mn²⁺ on a tetrahedral site exhibits a red emission band in the wavelength range of 550-750 nm in MgSiN₂. The long-wavelength emission of Mn²⁺ despite tetrahedral coordination in MgSiN₂ is attributed to the effect of strong crystal field experienced by Mn²⁺ in a nitrogen coordination environment. Also there exists energy transfer between MgSiN₂ host lattice and Mn²⁺ activator. The potential applications of this phosphor have been pointed out.     

The Mass Gap of SU(2) Lattice Gauge Theory in 2+1 Dimensions

Coupled cluster expansions are applied to study the eigenvalue problem of the Hamiltonian lattice gauge theory with the orthogonal D-loop basis being used to expand wavefunctions. The 0⁺⁺ bound state wavefunction and its mass gap relative to the vacuum of SU(2) lattice gauge theory in 2+1 dimensions are calculated up to the 7th order.     

Glueball Masses of the 0++ and 0－－ in 3+1-D SU(3) LGT

We improve the coupled cluster method in lattice gauge theory based on the application of the random phase approximation. Using this method, we study the vacuum wavefunction and glueball mass of the 0^－－ and 0⁺⁺ in 3+1 D SU (3) lattice gauge theory by finding the solution of the Hamiltonian eigenvalue equation. The calculated results are satisfacting γ=m (0－－)/m(0++)=1.8578±0.0506.