Schwinger Bose实现下自旋相干态Wigner函数的特性分析

在Schwinger Bose实现下,引入纠缠态表象及Wigner算符在该表象下的表示,得到自旋相干态的Wigner函数,数值计算画出相空间中Wigner函数的分布图,并加以分析,发现在SchwingerBose实现下自旋相干态确实体现出纠缠特性。     

A strange novel chaotic system with fully golden proportion equilibria and its mobile microcomputer-based RNG application

A strange novel three-dimensional quadratic continuous autonomous chaotic system with fully golden proportion equilibria is proposed. It has only seven terms, three quadratic nonlinearities and one parameter ‘a’. The system equations have four equilibrium points and very interestingly all the equilibrium points have fully golden proportion values. Besides, this chaotic system has hidden amplitude control properties. The dynamic analyses of the system are presented such as equilibrium points, dissipativity, Lyapunov exponents, bifurcation diagrams, phase portraits and hidden amplitude control properties. Later, electronic circuit of the system is simulated in software and implemented in real environment. Finally, microcomputer-based random number generator (RNG) application and its NIST-800-22 tests are executed as another real-time application.     

Spinor Field Realizations of Non-critical W2,4 String Based on Linear W1,2,4 Algebra

In this paper, we investigate the spinor field realizations of the W2,4 algebra, making use of the fact that the W2,4 algebra can be linearized through the addition of a spin-1 current. And then the nilpotent BRST charges of the spinor non-critical W2,4 string were built with these realizations.     

超声动态向量血流成像的产品化实现

传统超声彩色多普勒成像测量的是血流沿超声传播方向上的速度分量,故无法得到垂直于超声传播方向的血流。向量血流成像是一种更加先进的超声血流成像技术。它不受角度限制,可以直接计算出血流速度的大小和方向。本文总结了现有多种超声向量血流成像技术的特点和发展情况,并从产品化实现的角度分析了各项技术的优缺点。从超声系统发射接收、血流成像、向量速度方向合成、显示等几个方面详述了迈瑞超声向量血流成像技术产品化实现过程中遇到的主要问题及解决方案。实验采用了中科院声学所研制的超声多普勒仿血流体模,通过向量血流成像和脉冲多普勒成像分别测量体模的仿血流速度。将向量血流成像直接计算出来的速度值与脉冲多普勒经过角度校正得到的速度进行对比。在不同条件下,经过多次测量,二者的平均相对误差均在10%以内。     

Conformal array realizations of the near and far fields of a complex point source

The complex point source radiates an unusual field without sidelobes in both the near and far zones. The field on a sphere in the near zone closely resembles the far-field pattern. These properties make the complex point-source field desirable in numerous applications in electromagnetics and acoustics. The complex point-source field will be generated using non-resonant arrays with properties that can be realized in the laboratory. Both standard and weighted least-squares techniques determine the array excitation coefficients. The number of array elements required to achieve a certain accuracy of the radiated field can be dramatically reduced if a conformal array structure is employed with the array elements mounted on an impenetrable object. Only the part of the impenetrable object that faces in the beam direction need to be populated with array elements. Numerical examples with array elements consisting of real point sources mounted on a Dirichlet sphere illustrate these findings.     

Convex Realizations of Planar Linear Trees

We prove a necessary condition for the existence of a convex realization of a planar linear tree. In the case of broken lines, it is shown that this condition is sufficient; a continuous algorithm constructing such a realization is found.     

关于双参数量子代数SUqs(2)和双参数形变谐振子的若干结果

构造了双参数形变量子代数SU_qs(2)的Holstein-Primakoff实现和Nodvik实现,并给出了量子代数SU_qs(2)和双参数形变谐振子的形变映射.     

Chen氏混沌电路实现与同步控制实验研究

对Chen氏混沌系统的电路实现作了进一步的研究，推导出切实可行的电路参数.在此基础上利用Electronic Workbench电路仿真软件进行了仿真实验，并搭建实现了实际的Chen氏电路，在示波器上观察到了Chen氏混沌系统的混沌波形.同时，利用单变量耦合反馈控制方法对两个Chen氏系统的同步控制进行了实验研究，给出了实现同步的电路参数调节范围. 关键词： 混沌系统 Chen氏混沌 同步控制 电路实现     

利用量子代数SU(1,1)q,s的 Holstein-Primakoff实现讨论双参数变形Jaynes-Cummings模型

本文利用量子代数 SU(1,1)_q,s的 Holstein-Primakoff 实现讨论了双参数变形Jaynes-Cummings 模型,并给出了布居数反转的时间演化表达式.     

Geometric Realization of a Triangulation on the Projective Plane with One Face Removed

Let M be a map on a surface F ². A geometric realization of M is an embedding of F ² into a Euclidean 3-space ?³ such that each face of M is a flat polygon. We shall prove that every triangulation G on the projective plane has a face f such that the triangulation of the Möbius band obtained from G by removing the interior of f has a geometric realization.