Origin and meaning of the Fermi contact interaction

The Fermi-contact interaction (FCI) can easily be derived from 1st order perturbation theory applied to the non-relativistic wave equation for a spin-(1/2) particle of Lévy-Leblond, with the nuclear spin described by the field of an external magnetic dipole, and it results from the fact that the turn-over-rule for the operator is only valid if the derivatives implicit in are taken in the distribution sense. If one avoids to apply the turn-over-rule, the FCI is obtained without the need to introduce a -function. It is also shown that the formulation of a magnetic point dipole as the limit of an extended nucleus directly leads to the FCI. Traditional methods of the derivation of the FCI are analyzed in the light of this new interpretation. It is then explained why the perturbation expansions in powers of the magnetic moment of the nucleus necessarily diverges, but that the expression for the 1st order energy on which the concept of the FCI is based, can nevertheless be justified by means of the Hellmann-Feynman theorem with a correction term if singular wave functions are involved. Finally some comments on a theory beyond first order are made.Dedicated to Professor J. Koutecký on the occasion of his 65th birthday     

高密度电法在非煤矿山老窑采空区探测中的应用

由于矿山开采存在不明废弃老窑及采空区、老窑采空区资料不详、边界和积水情况不明等问题,矿山生产存在严重安全隐患。本文以湖南冷水江某金属矿山老窑采空区探测为例,采用高密度电法实施了4条物探测量剖面,经数据反演处理解译,共推断出8个采空区异常,其视电阻率特征均为高阻异常,显示其均为非充水采空区,根据已有矿体产出形态,推测采空区体积共约2 484 m³,基本确定了采空区的整体情况。     

数字孪生驱动下永磁同步电机滑模变结构一体化解耦控制

提出数字孪生驱动下永磁同步电机（PMSM）滑模变结构一体化解耦控制方法,改善永磁同步电机控制能力。构建基于数字孪生技术的永磁同步电机控制结构,通过设备层采集实际永磁同步电机运行数据及环境数据,作为数字孪生驱动数据来源,孪生建模层依据获取永磁同步电机数据,构建永磁同步电机的数字孪生驱动模型以及虚拟场景,经虚拟模型与虚拟场景耦合后,在虚拟场景中还原永磁同步电机运行状态;在孪生控制层中设计精确线性化解耦控制方法,并构建速度、电流一体化滑膜解耦控制器,在虚拟环境中通过解决永磁同步电机速度与电流之间的非线性耦合问题,完成实体电机解耦控制;同时数字孪生控制结构各层之间通过孪生数据传输实现数据交换与指令下发,实现有效的电机控制。经实验验证：经该方法控制后,永磁同步电机可在负载突加与突卸状态下保持平稳的电流与转矩,同时还可以迅速调整电机转速,使电机保持在理想状态下运行。     

Standard pseudo-Hermitian structure on manifolds and seifert fibration

A strictly pseudoconvex pseudo-Hermitian manifoldM admits a canonical Lorentz metric as well as a canonical Riemannian metric. Using these metrics, we can define a curvaturelike function onM. AsM supports a contact form, there exists a characteristic vector field dual to the contact structure. If induces a local one-parameter group ofCR transformations, then a strictly pseudoconvex pseudo-Hermitian manifoldM is said to be a standard pseudo-Hermitian manifold. We study topological and geometric properties of standard pseudo-Hermitian manifolds of positive curvature or of nonpositive curvature . By the definition, standard pseudo-Hermitian manifolds are calledK-contact manifolds by Sasaki. In particular, standard pseudo-Hermitian manifolds of constant curvature turn out to be Sasakian space forms. It is well known that a conformally flat manifold contains a class of Riemannian manifolds of constant curvature. A sphericalCR manifold is aCR manifold whose Chern-Moser curvature form vanishes (equivalently, Weyl pseudo-conformal curvature tensor vanishes). In contrast, it is emphasized that a sphericalCR manifold contains a class of standard pseudo-Hermitian manifolds of constant curvature (i.e., Sasakian space forms). We shall classify those compact Sasakian space forms. When 0, standard pseudo-Hermitian closed aspherical manifolds are shown to be Seifert fiber spaces. We consider a deformation of standard pseudo-Hermitian structure preserving a sphericalCR structure.Dedicated to Professor Sasao Seiya for his sixtieth birthday     

三乙基苄基氯化铵合成反应动力学研究

用电导法分别测定了三乙基苄基氯化铵合成反应在乙醇、正戊醇、１,２－二氯乙烷三种溶剂中的反应进程,此反应在三种介质均为二级反应;求出了不同温度下的反应速度常数、反应活化能、指前因子以及活化熵变;１,２－二氯乙烷是非质子性溶剂,对三乙基苄基氯化铵合成这类双分子亲核反应有利。乙醇溶剂的反应速度随温度升高而明显加快。     

继电器输出型PLC显示系统设计

本文继电器输出型ＰＬＣ控制ＬＥＤ数码这的显示功能进行了详细的分析,解决了硬件继电频繁听问题,并给出了实现了上述功能的硬件电路和程序流程。     

Fe3Al合金的高温变形行为

用载荷松弛法对Ｆｅ－２８Ａｌ－２Ｔｉ合金在较高温度下的变形行为进行了研究．测定了Ｆｅ－２８Ａｌ－２Ｔｉ合金在高温变形时的载荷松弛曲线、应力减小因子Ｙ及激活能值,并对试样进行了显微结构观察．结果表明,Ｆｅ－２８Ａｌ－２Ｔｉ合金的高温变形是一个亚晶界吸收位错,而且不断向大角晶界转变的过程．     

电沉积SiC颗粒增强抗磨复合材料

采用电刷镀技术制取Ｎｉ－Ｗ－Ｃｏ／ＳｉＣ颗粒增强抗磨复合材料,分析了ＳｉＣ颗粒沉积量的影响因素,并研究了复合材料的磨损特性,实验结果表明,复合材料具有较高的硬度和耐磨性。     

连续驱动摩擦焊负载等效电气特性的研究

通过对连续驱动摩擦焊能量参数的计算机实时、同步检测,经过计算发现：摩擦焊负载的电气特性并不是纯电阻特性（耗能特性）,而是表现出阻容双重特性（耗能和储能特性）．经理论分析认为,负载的电容特性（储能特性）是由于工件在摩擦扭矩的作用下,产生弹性扭转变形并储存了主电机供给的机械能所造成．研究结果有利于方便实现连续驱动摩擦焊过程的数值模拟,为深入研究连续驱动摩擦焊过程的本质打下了坚实的基础．     

新型Ni－Cu－P／MoS_2固体润滑镀层优化试验研究

研制出一种新型Ｎｉ－Ｃｕ－Ｐ／ＭｏＳ２电刷镀固体润滑复合镀层。对影响镀层耐磨性的因素进行了正交设计;包括镀液中铜盐、次亚磷酸盐、二硫化钼及刷镀电压。对得到的９种镀层,进行了摩擦磨损试验,测量其磨损量及摩擦系数,最终优化出最佳的Ｎｉ－Ｃｕ－Ｐ／ＭｏＳ２镀层及相应的镀液。还对镀层的相结构及成分进行了测试,讨论了它们对镀层耐磨性的影响。结果表明,镀层中一定量的铜及亚稳间隙相对改善镀层的耐磨性及减磨性具有重要作用。