1＋1维U（1）Higgs模型的Non－contractable loop和Sphaleron

讨论圆周上的Ｕ（１）Ｈｉｇｇｓ模型，构造出了Ｎｏｎ－ｃｏｎｔｒａｃｔａｂｌｅｌｏｏｐｓ，并给出了Ｓｐｈａｌｅｒｏｎ和多Ｓｐｈａｌｅｒｏｎ解．     

格点定模SU（2）－Higgs模型的解析计算

对格点上基础表示的定模Ｈｉｇｇｓ场与ＳＵ（２）规范场耦合系统的相图进行解析计算至累积展开的第四级，用扫瞄确定变分参数的方法，得到与ＭｏｎｔｅＣａｒｌｏ模拟很好符合的相图．计算了Ｎ＿τ＝１的有限温度情形下ＳＵ（２）－Ｈｉｇｇｓ系统和纯ＳＵ（２）模型的Ｐｏｌｙａｋｏｖ线＜Ｌ＞，对后者得到迄今最佳的近似解析结果βｃ。     

希格斯（Higgs）粒子

在现有的弱电统一理论中，认为应当存在自旋为零的粒子（Ｈｉｇｇｓ粒 ），并且通过“Ｈｉｇｇｓ机制”实现真空对称性自发破缺．这个理论的许多重要预言都得到了实验上广泛的证实，但始终没有找到在理论上起核心作用的Ｈｉｇｇｓ粒子本身．粒子物理学面临一个十分重要的课题．本文从理论和实验两个方面就这个问题进行了评述，其中包括介绍Ｈｉｇｇｓ机制和寻找Ｈｉｇｇｓ粒子的现状及意义．     

在LEPⅡ及NLC能量下e~＋e~－→b_b~－Z~0和t_t~－Z~0过程中Higgs粒子的观测效应

根据最小标准模型及双Ｈｉｇｇｓ二重态的扩展标准模型理论，计算了ＬＥＰⅡ以及ＮＬＣ能量下ｅ＋ｅ－→ｂＺ０和ｔＺ０的总截面和微分截面以探求Ｈｉｇｇｓ粒子的观测效应．我们发现，只要Ｈｉｇｇｓ粒子的质量ＭＨ≤１４０ＧｅＶ，对ｅ＋ｅ－→ｂＺ０的测量就能清楚地提供Ｈｉｇｇｓ粒子的信息．然而对ｅ＋ｅ－→ｔＺ０，不论Ｈｉｇｇｓ粒子是轻或重，它的效应都被淹没在弱电过程的本底中，没有观测的可能．     

氖（Ne）和氩（Ar）原子的sp型弥散函数

氖（Ｎｅ）和氩（Ａｒ）原子的ｓｐ型弥散函数苏克和西北工业大学化工系西安７１００７２ＣａｒｏｌＡ．ＤｅａｋｙｎｅＤｅｐａｒｔｍｅｎｔｏｆＣｈｅｍｉｓｔｒｙ，ＥａｓｔｅｒｎＩｌｌｉｎｏｉｓＵｎｉｖ，Ｕ．Ｓ．ＡＮｅ和Ａｒ原子的ｓｐ型弥散函数在文献［１－２］...     

耦合SU(5) EYMH系统的静态双荷黑洞

研究耦合ＳＵ（５）Ｅｉｎｓｔｅｉｎ－Ｙａｎｇ－Ｍｉｌｌｓ－Ｈｉｇｇｓ（ＥＹＭＨ）系统。得到了场方程的一类静态球对称Ｒｅｉｓｓｎｅｒ－Ｎｏｒｄｓｔｒｏｍ（Ｒ－Ｎ）型解，它代表具有ＳＵ（５）双荷子（磁荷为±3/(2e)）的静态黑洞。 关键词：     

格点Z_4 Higgs场－规范场体系的相结构

用Ｍｉｇｄａｌ－Ｋａｄａｎｏｆｆ重整化群方法对Ｚ４Ｈｉｇｇｓ场─—规范场体系进行了研究，给出了四维时空的相互作用耦合常数递推关系和体系的相图，发现Ｈｉｇｇｓ相与禁闭相是连通的．     

格点U(1)规范-Higgs(定模)模型的解析计算

用变分累积展开法，在格点上对基础表示的定模Ｈｇｇｓ场与Ｕ（１）规范场的耦合系统的相结构进行了研究，变分参数用主值变分法辅之以聚点法来确定，得到了与ＭｏｎｔｅＣａｒｌｏ模拟很好符合的相图；并计算了＝１的有限温度情形下定模Ｕ（１）－Ｈｉｇｇｓ系统的Ｐｏｌｙａｋｏｖ线。     

Formation and Confirmation of the “Pure” Laser Induced Population Grating in Dye Solution

ＦｏｒｍａｔｉｏｎａｎｄＣｏｎｆｉｒｍａｔｉｏｎｏｆｔｈｅ“Ｐｕｒｅ”ＬａｓｅｒＩｎｄｕｃｅｄＰｏｐｕｌａｔｉｏｎＧｒａｔｉｎｇｉｎＤｙｅＳｏｌｕｔｉｏｎ￥ＺＨＯＵＤ．Ｊ．；ＬＩＲ．Ｈ．；ＺＨＥＮＧＹ．Ｚ．（ＩｎｓｔｉｔｕｔｅｏｆＬａｓｅｒａｎｄＳｐ...     

The Dynamic Behaviour Analysis of Up－Conversion Luminescence in ErP_5O_（14） Glass

ＴｈｅＤｙｎａｍｉｃＢｅｈａｖｉｏｕｒＡｎａｌｙｓｉｓｏｆＵｐ－ＣｏｎｖｅｒｓｉｏｎＬｕｍｉｎｅｓｃｅｎｃｅｉｎＥｒＰ_５Ｏ_（１４）ＧｌａｓｓＴｈｅＤｙｎａｍｉｃＢｅｈａｖｉｏｕｒＡｎａｌｙｓｉｓｏｆＵｐ－ＣｏｎｖｅｒｓｉｏｎＬｕｍｉｎｅｓｃｅｎｃｅ...     

Nonlinearity in cooperative systems-dynamical Bethe-Ising model

The dynamics of the short-range order as well as the long-range order in the nonlinear cooperative system is investigated specifically for a kinetic Ising model in the Bethe approximation. The phenomena of critical slowing down near the transition temperatureT _c and anomalous fluctuation belowT _c are directly related to the instability of the long-range order. The dynamics of the short-range order is essentially a fast mode and is noncritical. However, through the nonlinear coupling the short-range order is also influenced by the critical behavior of the long-range order.     

Second order elastic anomalies in barium titanate from cubic to tetragonal phase transition

The anomalies of the second order elastic constants have been derived for barium titanate for the phase transition from cubic to tetragonal. The equilibrium values of the components of the order parameter and the strain variables have been obtained from the stability conditions. The fluctuations in the order parameter have been derived from the Landau-Khalatnikov equations. Expression for the shift in the zero point energy in the tetragonal phase is obtained and is shown to be proportional to (T −T _c)². The anomalies for all the second order elastic constants have been derived and relations among them reported. It is shown that the second order elastic anomalies suffer a discontinuity at the transition temperature.     

Uniform uniaxial anisotropic systems with coupled vector order parameters

Phase transitions in magnets, described by two coupled, m-component vector order parameters, having uniform uniaxial anisotropies are studied. Using a phenomenological model, it is shown that when both order parameters are anisotropic, phase transitions are always second order, in either the uniaxial or the (m???1)-isotropic phase. This is contrary to the isotropic case of two coupled order parameters, for which phase transitions are fluctuation-induced first order. The transitions are still continuous into the m-isotropic phase even when the only anisotropic order parameter is the one with the lowest mean-field critical temperature. New discontinuous transitions still occur in either the uniaxial or the (m???1)-isotropic phase, when the only anisotropic order parameter has the highest mean-field critical temperature.     

Second order elastic anomalies in barium titanate from orthorhombic to rhombohedral phase transition

The anomalies in second order elastic constants have been derived for barium titanate for the phase transition from orthorhombic to rhombohedral state. The equilibrium values of order parameter, strain variables and fluctuations in order parameter have been derived using stability conditions and Landau-Khalatnikov equations respectively. Expression for shift in specific heat is obtained. All the anomalies in second order elastic constants have been derived and relations among them reported. The numerical values of anomalies in the individual constants are calculated and their variation is represented graphically. Changes in elastic constants occur over a range of temperature of the order 10⁻²K.     

Propagation of coherently combined flattened laser beam array in turbulent atmosphere

The analytical expression for the propagation of a flattened laser beam array in a turbulent atmosphere is derived based on extended Huygens–Fresnel principle. The influence of beam order and turbulent atmosphere on beam quality is studied. It is revealed that the beam quality of a coherently combined laser beam array with higher order is better than its lower order counterpart when propagating in free-space, weak and medium turbulence (i.e. C_n²<10^?13 m^?2/3). The beam quality of higher order beam arrays degrades faster as the intensity of turbulence gets stronger. In the case of propagating in strong turbulence, the beam order has no influence on coherently combined beam quality.     

Internal conical refraction of Bessel light beams

The internal conical refraction of a Bessel beam of arbitrary order is studied theoretically. It is shown that a beam of the order m of arbitrary polarization in the general case is partially converted to Bessel beams of the order m ± 1 with orthogonal circular polarizations. Conditions for complete conversion of a beam of the order m to a Bessel beam of the order m?1 or m+1 are determined.     

Fulde-Ferrell-Larkin-Ovchinnikov state in layered superconductors

The phase diagram of a layered superconductor in a large parallel magnetic field is calculated. This includes a calculation of the lower critical field beyond which the superconductor is in the FFLO-state and possesses a spatially modulated order parameter and spin polarization. The order parameter, spin polarization, free-energy density, and phase boundaries of this unconventional superconducting phase are evaluated numerically in the complete B–T plane. The analysis suggests that the transition at the lower critical field is of second order, and not of first order, as previously assumed. The order parameter of the FFLO-state merges continuously into the uniform superconducting state.     

双峰分布的超细颗粒动态光散射信号模拟及精度分析

为获取双峰分布超细颗粒的动态光散射模拟信号,通过建立动态光散射随机过程的AR模型,利用修正的Levison Durbin递推算法确定模型参数和阶数的方法模拟光散射信号.分别对10 nm与90 nm,200 nm与1 000 nm双峰分布颗粒的动态光散射信号进行模拟,得到的模拟信号光强自相关函数与理论值吻合,用双指数法对颗粒粒径反演,相对误差小于3.55%.通过分析模型阶数、采样时间、采样频率、模拟数据长度等参数对模拟精度的影响,得出双峰分布颗粒光散射信号的模拟精度与各参数的关系:在低于阈值阶数时,模型阶数选择对精度影响大,模型阶数越高,信号模拟的精度越高,高于阈值阶数时,模型阶数选择对精度影响不大,可选阈值阶数模型模拟信号.选定一定的采样时间,采样频率越高,模拟数据长度越长,模拟精度越高.     

Fractional order phase transition in lipid bilayer: dipalmitoyllecithin

Dipalmitoyllecithin (DPL) shows an order ← → disorder pressure transition which is neither of first order nor of second order but can be treated as a fractional order (3/2 order) transition. The Ising model formalism is adopted for the study of such a system. A suitable equilibrium constant is defined which generates a 3/2 order transition. Transition curves are obtained and compared with the experimental curves of Liu and Kay. Reverse transition curves are also obtained and the system exhibits hysteresis effect. An approximate expression connecting transition pressures at different temperatures is obtained and the calculated and the experimental values are in good agreement.     

Spatially localized heteronuclear scalar order

The spatial localization of the heteronuclear scalar order produced for an AX _N spin-1/2 system by adiabatic demagnetization in the rotating frame is discussed. The density operator formalism is used for an exact evaluation of the produced scalar order in the presence of the main field gradient. A pulse sequence to record the scalar order profile is presented.