旋量

SO（n）■SO（n-1）张量表示和旋量表示的分支公式

Branching formulas for so ( n ) so ( n-1 ) tensor and spinor representations

动态带电黑洞周围Dirac旋量粒子的四分量波函数

The 4-quantity wave function of the Dirac spinor partical around charge non-stationary black hole

通过将伪速度与旋量递推计算相结合，研究了通过伪速度实现航天器的高效率动力学建模方法，实现O（N）阶算法。

By combining the quasi-velocities and recursive calculation of screws , efficient dynamic modeling is researched .

H参数建模方法的不足，基于旋量理论，提出了利用机器人运动学正解映射的指数积公式构造运动学逆解问题的几何算法。

H matrix , a geometrical closed-form inverse kinematic method , utilizing the product of exponentials ( POE ) formula of direct kinematics mapping , is proposed based on screw theory .

在动态带电黑洞周围对Dirac旋量粒子的动力学行为进行了研究，得到Dirac粒子四分量波函数的显式表示。

The dynamical action of Dirac spinor partical around a change non-stationary black hole is researched in this paper .

该方法继承了旋量理论用于机器人操作的优越性，避免了采用传统DH参数法来建立局部坐标系，简化了机器人运动学、动力学的分析方法。

This method inherits the advantages of screw theory , simplifies analysis methods of robot ′ s kinematics and dynamics .

应用旋量理论求解FANUC机器人的正向运动学问题

To Solve Forward Kinematic Problem of Closed - chain Manipulator by Means of Screw Theory

本文给出了在瞬时相互作用下自然J~（PC）分子三维波函数的最一般的旋量结构及其空间波函数所满足的标量方程组。

In this paper , we present the general spinor structure of 3-dimensional wave functions of mesons with natural J ~ ( PC ) and the system of equations satisfied by 3-dimensional wave functions .

标量&旋量模型B-S方程的三阶微扰修正

The third-order perturbation correction of B-S equation of the scalar - spinor composite particle model

用旋量零标架方法导出广义球对称带电蒸发黑洞时空中Dirac粒子的能级

Relativistic Energy Levels Calculation of Dirac Particles in the General Spherically Symmetric Evaporating Black Holes with Electric Charges Space-time by Using Spinor Method

机器人所有的位置姿态构成一个Lie群，利用Lie群和Lie代数描述系统是很自然和方便的，Lie代数的本质是运动旋量。

All positions and orientations of the robot form a Lie group . Using Lie group and Lie algebra to describe multi-mechanical system is very convenient . Lie algebra is the essence of motion screw .

构造了含ChernSimons（CS）项的旋量电动力学的规范变换生成元。

The generator of gauge transformation for spinor QED with Chern-Simons ( CS ) term has been constructed .

Bethe-Salpeter方程中位势的一类旋量结构

A kind of spinor structure of the potentials in Bethe-Salpeter equations

Beltrami-DeSitter时空中标量和旋量粒子的量子理论

Relativistic quantum mechanics for scalar particles and spinor particles in the beltrami-de Sitter spacetime

据此可形成对旋量加速度的高效递推算法，并为下一时刻的ω，H，P，D，G，K等参数的正向动力学计算作准备。

And then a high effective recursive method to compute velocity can be formed by it . Which prepare for the forward dynamic calculations of such factors as Φ, H , P , D , G , K and so on at the next time .

从Vaidya-Bonner黑洞周围时空中旋量粒子的Dirac方程经分离变量并退耦后的径向方程和角向方程出发，导出了Dirac粒子的能级方程。

Energy equations are derived from radial equations and angular equations of Dirac equations for spin particles in the curve space-time of Vaidya-Bonner black hole .

这样，便从么模群SL（2C）及其李代数sl（2C）的角度得到了引力场复矢量表述的普遍形式，并把旋量和复矢量形式统一了起来。

Thus , the spinor formalism and the complex-vector formalism of general relativity are unified on the basis of the unimodular group SL ( 2C ) and its Lie algebra .

为使法向力之和或最大法向力最小化，抓取力旋量集可采用原始力旋量的凸包或它们Minkowski和。

The grasp wrench set may adopt the convex hull or Minkowski sum of the primitive contact wrenches for minimizing the sum or maximum of normal force components .

由于混合型Sigma模型可被用在超弦的纯旋量描述上，故研究这类Sigma模型的解变换对超弦的研究具有一定的意义。

Since this type of Sigma model can be used in the pure-spinor description of the superstring , the study of the solution transformation of the model will be helpful to the study of the string .

本文从一种标量旋量复合粒子模型出发，利用微扰论计算了三阶Feynman图，给出了BS方程的梯形近似及其三阶微扰修正。

In this paper , the third-order Feynman diagrams of the scalar-spinor composite particle model are calculated by using perturbation expansion of the quantized composite field theory . The ladder approximation and third-order correction of B-S equation are obtained .

基于旋量理论和Paden-Kahan子问题的6自由度机器人逆解算法

Algorithm for the Inverse Kinematics Calculation of 6-DOF Robots Based on Screw Theory and Paden-Kahan Sub-problems

这种方法是通过球面的几何关系，由检测到的x和y坐标方向的位置数据计算出z坐标方向的数据，并根据旋量理论建立球电机运动的旋转矩阵和计算出旋转矩阵的旋转角度。

The approach is to solve z-axis coordinate according to the sensed x-axis and y-axis coordinate data , as well as the spherical geometry relationship analysis , the orientation matrix describing the spherical motor motion can be given and solved based on the screw theory .

在Hessian矩阵的求取过程中，深化旋量表示法的应用，推导出基于指数积公式的Hessian矩阵元素求解方程，使得求解过程简单易行且几何意义明确。

The solving equations for the elements of Hessian matrix are derived based on the exponential product formula . The solution process is simplified by the application of screw theory .

提出了应用旋量理论和Lagrangian方程建立闭链机器人动力学方程的一种方法，并以FANUC机器人为例，阐述了该方法的具体步骤。

A new method is presented for establishing the dynamic equation of a closed-chain manipulator based on Lagrangian equation and screw theory , which is illustrated in formulating the dynamic equation of a FANUC robot .

本文用旋量零标架方法讨论了Kasner时空中自由粒子的Dirac方程，并进一步讨论了它的精确解。

The Dirac equations of free particles in Kasner spacetime are studied in spinor null tetrad formalism and the solution of the Dirac equations are discussed .

在实验中，塞曼效应会导致外磁场把处于不同自旋自由度的旋量粒子分开，从而对旋量BEC的动力学产生深刻影响。

In the experiments , the ex-ternal magnetic field will separate the atoms with different spin degree of freedom due to the Zeeman effects , so Zeeman effects make deep influence to the spinor dynamics .

利用旋量理论和指数积方法求解了6-PRRS并联机构主动关节与被动关节的位置逆解。

Based on screw theory and exponential product method , the inverse kinematics of the passive and active joints of the6-PRRS parallel robot was resolved .

讨论了电磁场矢量E和B的Helmholtz定理的合理形式，提出了将旋量场方程化为一个标量场方程求解的问题，然后给出了求解电磁波场并矢格林函数的新方法。

The rational form of Helmholtz theorem for electromagnetic field vector E and B is discussed . The solving problem for rotational field equation transforming a scalar field equation is given , and then a new method for solving dyadic Green 's function of electromagnetic wave field is given .

讨论了3／2自旋场的U（1）规范不变性，给出了U（1）规范不变的三级旋量场方程和守恒流，并证明了场方程的洛伦兹协变性。

The paper discusses the U ( 1 ) gauge invariance of spin 3 / 2 field , provides the spin 3 / 2 field equation which has U ( 1 ) gauge invariance , and electric current and lorentz invariance of 3 / 2 field equation is proved .

在这个解中，旋量场的分布不是SLAC模型那样的球壳分布，而是球体内的分布。

The distribution of the spinor field in the solution concentrates near the origin , which is unlike the shell distribution of the SLAC solution .