The Second-Order Equation from the (1/2, 0) ⊕ (0, 1/2) Representation of the Poincare Group

On the basis of first principles we derive theBarut-Wilson-Fushchich secondorder equation in the (1/2,0) (0, 1/2) representation. Then we discuss thepossibility of describing various mass and spin states in such a framework.     

不等质量(1/2—1/2)或(1/2-1/2)电磁束缚系统的近似B.S.波函数

本文求解了不等质量(1/2—1/2)电磁束缚系统的Bethe-Salpeter方程. 给出了这类系统的近似B.S.波函数. 利用复合粒子量子场论的微扰展开, 在精确到O(α)的量级下, 计算了Ξ⁰→(Σ⁺μ^－)+ν_μ的衰变率和分支比, 结果是wΞ⁰→(Σ⁺μ^－)+ν_μ=1.12(1/秒)R=[wΞ⁰→(Σ⁺μ^－)+ν_μ]/[wΞ⁰→(Σ⁺μ^－)+ν_μ]≥4.7×10^－7. 类似地, 还讨论了Λ→(pμ^－)+ν_μ过程.     

立方相Na_(1/2)Bi_(1/2)TiO_3和K_(1/2)Bi_(1/2)TiO_3的电子结构和结构不稳定性的第一性原理比较研究

采用基于密度泛函理论的第一性原理方法比较研究了Na1/2Bi1/2TiO3和K1/2Bi1/2TiO3的电子结构、离子位移势能面和Γ声子等性质.结果表明,Na1/2Bi1/2TiO3和K1/2Bi1/2TiO3的电子结构很相似,价带由O 2p电子态主导并包含部分Ti 3d和Bi 6p电子态,导带低能部分由Ti 3d空轨道构成;K取代Na后其Ti—O和Bi—O键的键强略有增加.两者的离子位移势能面也很接近,O离子的偏心位移对结构不稳定性起主导作用,且K取代Na后其作用增强.Γ声子都存在3个软模,分析表明软模主要来自O6基团的振动,K取代Na后A2u软模发生硬化.     

(1/2+1/2+1)腔型热阴极微波电子枪

 介绍了一种新型的轴耦合热阴极微波电子枪的设计，该枪采用了缩短首腔以及在首腔与主加速腔间插入耦合半腔的设计思想，在不破坏粒子束性能的基础上尽量减小反轰功率，给出了用Superfish 及Pamela软件进行物理设计以及粒子动力学计算的结果，在脉冲宽度为6μs, 重复频率为25Hz时，阴极上平均反轰功率为3.6W,达到设计要求。     

The quenching of excited F(2 P 1/2) and Cl(2 P 1/2) atoms by N2(X 1Σ g + ) molecules

The rate constant for the quenching of excited F(² P _1/2) and Cl(² P _1/2) atoms in collisions with N₂ molecules were calculated. The electron interaction matrix between N₂(X ¹Σ _g ⁺ ) and F and Cl atoms in the ² P _j state calculated asymptotically taking into account quadrupole-quadrupole, dispersion, and exchange interactions was used. The dynamic problem of electronic transitions was solved using the modified wave number approximation, the exactly solvable semiclassical exponential nonadiabatic bond model, and the method of phase functions.     

2s_(1/2)—1d_(3/2)壳层原子核能谱的壳模型分析

本文对2s_(1/2)-1d_(3/2)壳层原子核(A=30—40)能谱作了系统分析,计算仅限于由2s_(1/2)和1d_(3/2)支壳层产生的情态,但考虑了它们之间的全部组态混合效应。计算是采用多粒子壳模型的Talmi方法,将二体矩阵元当作参数,其值由实验确定。文中详细分析了Si~(30),Si~(31),P~(30),P~(31),P~(32),S~(32),Ar~(37),Ar~(38),K~(38)等原子核能谱,理论与实验符合颇好。     

(Pr,Nd)_(2/3)Sr_(1/3)MnO_3体系中的低温比热反常现象

主要研究了(Pr1-yNdy)2/3Sr1/3MnO3体系多晶样品在低温下的比热反常现象.Pr2/3Sr1/3MnO3在低温下没有比热反常现象,但随着Nd替代Pr,比热反常开始出现,峰值逐渐增加,峰值出现温度逐渐减小;在磁场的作用下,峰值减小,峰值出现温度逐渐增加;经分析,该低温比热反常现象与Schottky效应相关.     

不等质量(1/2—■/2)或(1/2-1/2)电磁束缚系统的近似B.S.波函数

本文求解了不等质量(1/2—■/2)电磁束缚系统的Bethe-Salpeter方程。给出了这类系统的近似B. S. 波函数,利用复合粒子量子场论的微扰展开,在精确到O(α)的量级下,计算了■的衰变率和分支比,结果是■(1/秒)■类似地,还讨论了■过程.     

Stark效应诱导的类氢离子2s_(1/2)-1s_(1/2)跃迁几率的理论研究

基于微扰理论研究了静电场Stark效应诱导的类氢离子2s_(1/2)-1s_(1/2)跃迁,给出了Z=1—92类氢离子的Stark混合系数和2s_(1/2)-1s_(1/2)跃迁几率,讨论了Stark效应诱导的类氢离子2s_(1/2)-1s_(1/2)跃迁几率随原子序数的变化规律以及相对论效应对Stark混合系数和诱导跃迁几率的影响.结果表明,给定电场强度时,类氢离子的Stark诱导跃迁几率随着原子序数Z的增大单调减小.另外,相对论效应使得类氢离子的Stark诱导跃迁几率减小,甚至在Z=92时会减小到非相对论近似的55%.     

相互作用能量参数对A(B_(1/2)~1B_(1/2)~2)O_3系统有序畴形成的影响

本文利用有序-无序相变理论讨论了A(B_(1/2)~1B_(1/2)~2)O_3系统中的有序-无序相变,半定量地研究了在A(B_(1/2)~1B_(1/2)~2)O_3系统中相互作用能参数对形成B~1:B~2=1:1有序畴的影响,理论计算结果与实验结果基本一致。     

Subsidiary conditions of the general Gel'fand-Yaglom wave equation based on the representation (1/2,3/2)⊕(−1/2,3/2)⊕(1/2,5/2)⊕(−1/2,5/2)⊕ (1/2,3/2)⊕(−1/2,3/2)

A method is given of obtaining the subsidiary conditions of the second kind of the general Gel'fand-Yaglom wave equation based on the representation (1/2, 3/2)(–1/2, 3/2)(1/2, 5/2)(–1/2, 5/2)(1/2, 3/2)(–1/2, 3/2) and in the presence of an external electromagnetic field by reformulating the wave equation in spinor form. The wave equations accepting these subsidiary conditions form a class defined by a set of simultaneous equations that is not empty.     

Piezoelectric properties of new ternary Bi1/2(Na, Li)1/2TiO3–(Bi1/2K1/2)TiO3–Ba0.85Ca0.15Ti0.90Zr0.10O3 ceramics

0.852[Bi_1/2(Na_1?x Li _x )_1/2]TiO₃?C0.110(Bi_1/2K_1/2)TiO₃?C0.038Ba_0.85Ca_0.15Ti_0.90Zr_0.10O₃ (BNLT?CBKT?CBCTZ-x) new ternary piezoelectric ceramics were fabricated by the conventional solid-state method, and their piezoelectric properties as a function of the Li content were mainly investigated. A?stable solid solution with a single perovskite structure has been formed, and the depolarization temperature (T _d) of these ceramics was identified by using the temperature dependence of the dielectric loss. The T _d value of these ceramics gradually decreases, while the T _m value increases with increasing the Li content. The dielectric constant increases and the dielectric loss decreases with increasing the Li content, and an enhanced piezoelectric behavior of d ₃₃??223 pC/N and k _p??35.2?% has been demonstrated in these ceramics with x=0.06.     

舰船噪声的1(1/2)维谱特征提取

证明了１（１／２）维谱的几个基本性质，分析了由此产生的几种优良性能：可加强成整数倍谐波信号的基频分量，抑制高斯有色噪声及对称分布的噪声；剔除非二次相位耦合的谐波分量。在此基础上，将１（１／２）维谱应用于舰船噪声的目标特征分析，提出井提取了７个特征量。经过神经网络分类器的分类识别，取得了较高的识别率：Ａ类船的正确识别率为９０％，Ｂ类船的为９１．３％，Ｃ类船的为８５．７％。     

Quantized (1, 0) ⊕ (0, 1) Fields

We find a mapping between antisymmetric tensormatter fields and the Weinberg 2(2j + 1)-componentbispinor fields. Equations which describethe j = 1 antisymmetric tensor field coincide with the Hammer-Tucker equations entirely and withthe Weinberg ones within a subsidiary condition, theKlein-Gordon equation. A new Lagrangian for the Weinbergtheory is proposed which is scalar and Hermitian. It is built on the basis of the concept ofWeinberg doubles. The origin of acontradiction between the classical theory, the Weinbergtheorem B – A = for quantum relativisticfields, and the claimed longitudity of the antisymmetrictensor field [transformed on the (1, 0) (0, 1)Lorentz group representation] after quantization isclarified. Analogs of the j = 1/2 Feynman–Dysonpropagator are presented in the framework of the j = 1 Weinberg theory.It is then shown that under a definite choice of fieldfunctions and initial and boundary conditions themassless j = 1 Weinberg–Tucker–Hammerequations contain all the information that the Maxwell equationsfor the electromagnetic field have. Thus, the formerappear to be of use in describing some physicalprocesses.     

Temperature impedance spectroscopy of (1 − x)Na1/2Bi1/2TiO3-xLaMg1/2Ti1/2O3 solid solutions

The dielectric properties of (1 ? x)Na_1/2Bi_1/2TiO₃-xLaMg_1/2Ti_1/2O₃ solid solutions (0 ≤ x ≤ 0.4) were studied over the temperature range 650–1030 K by measuring the impedance spectra over the frequency range 25–10⁶ Hz. The Curie temperature T _C was determined as a function of the composition of the solid solutions. It is shown that T _C decreases linearly with increasing x. The temperature dependences of the dc component (σ_dc) and the polarization component (σ′_ac) of the real part of the conductivity are found. The activation energy for the conductivity σ_dc is shown to increase abruptly as the temperature increases above approximately 770 K for all solid solution compositions. Over the temperature range corresponding approximately to the region of existence of the tetragonal phase of Na_1/2Bi_1/2TiO₃, the polarization component σ′_ac of the solid solutions, as well as that of the pure compound, is anomalously high at low frequencies, which can be due to structural inhomogeneities.     

The absorption spectrum of the (1, 0), (3, 1) and (4, 2) bands in the cΣg–aΣu system of He2 eximer

The near-infrared absorption spectrum of He₂ has been recorded in the range of 12 090–13 300 cm⁻¹ using the optical heterodyne concentration modulation spectroscopy. Fifty-nine He₂ spectral lines were assigned to the (1, 0), (2, 0), (3, 1) and (4, 2) bands in the c³Σ_g⁺–a³Σ_u⁺ system and a non-linear least-squares fitting was performed to get the improved molecular constants for the levels (υ = 1, 3 and 4) in the upper electronic state.     

AN SU(4)×SU(2)×U(1) UNIFIED MODEL

In this paper we propose an SU(4)×SU(2)×U(1) unified model, in which the stratons and leptons of every generation belong to the same Multiplet, and the leptons will couple to the stratons. But this kind of coupling cannot cause the proton decay, and has only some effects in high energy scatterings. This model predicts the existense of two neutral intermediate bosons, instead of one, and the value of Weinberg angle to be sin²θ_w=0.25. The neutrinos have reasonable masses in the model.     

二维RKKY自旋玻璃的磁化率(n_m~(1/2)I<<1)

本文提出了具有非磁性缺陷(n_ml~(1/2)(?)1)的二维 RKKY 自旋玻璃模型,分别推导出高温区和低温区磁化率的表达式,应用渗流理论说明了转变温区磁化率存在尖拐状峰值的实验事实,并讨论了本模型应用的物理条件.     

Ferroelectric properties of Pb(Zr1/2Ti1/2)O3–Pb(Zn1/3Nb2/3)O3 ceramics under compressive stress

Effects of compressive stress on the ferroelectric properties of ceramics in PZT–PZN system were investigated. The ceramics with a formula (1−x)Pb(Zr_1/2Ti_1/2)O₃–xPb(Zn_1/3Nb_2/3)O₃ or (1−x)PZT–(x)PZN (x = 0.1–0.5) were prepared by a conventional mixed-oxide method. The ferroelectric properties under the compressive stress of the PZT–PZN ceramics were observed at the stress levels up to 170 MPa using a compressometer in conjunction with a modified Sawyer–Tower circuit. It was found that with increasing compressive stress the area of the ferroelectric hysteresis (P–E) loops, the saturation polarization (P_sat), the remnant polarization (P_r), and the coercive field (E_c) decreased. These results were interpreted through the non-180° ferroelastic domain switching processes.