校正磁场和cos/sin线圈的设计

介绍了控制束心corkscrew运动的原理,给出了用cos/sin线圈产生校正磁场方法并比较两种设计的结果。指出用较严格设计的cos/sin线圈能更有效地调节校正磁场。     

共轴三线圈磁场的均匀性

给出用平行共轴不等大等电流的三个圆线圈形成匀强磁场的方法．文中给出了三线圈形成匀强磁场的条件,并且通过数值计算全面分析了三线圈磁场的均匀性．与Helmholtz线圈磁场比较显示,三线圈的磁场无论在强度方面,还是在磁场均匀性方面都明显优于Helmholtz线圈的磁场．     

通电圆线圈轴线上磁场分布分析

由毕奥一萨伐尔定律导出通电圆线圈轴线上磁场分布公式．由该公式出发推出一个更适用的表达式,并据此分析了单线圈的磁场和双线圈合成磁场．用标准偏差理论分析了两线圈间距取不同值时,两线圈间磁场的均匀程度．     

存在球差和失焦下电子光学传递函数和脉冲响应函数

根据电子光学理论,球差和失焦引起附加相位移为γ,相干的振幅和相位衬度传递函数为cosγ和sinγ。它们的傅里叶逆变换给出脉冲响应函数的实部和虚部。本文讨论了cosγ和sinγ的零点和极值点,这些点将衍射平面划分为一系列环带。证明了当无量纲失焦量Δ=N^1/2(N为正整数)时各环带上cosγ,sinγ的积分相同,即对脉冲响应函数中心值的贡献相同。本文讨论了使cosγ或sinγ的积分取极大值或极小值,亦即使脉冲响应函数中心值或中心强度取极大值或极小值的条件。本文还讨论了脉冲响应函数最佳均方 关键词：     

Exact Solutions of Schr¨odinger Equation with Improved Ring-Shaped Non-Spherical Harmonic Oscillator and Coulomb Potential

We propose improved ring shaped like potential of the form,2V(r,θ)=V(r)+(2/2M r)[(βsin2θ+γcos2θ+2λ)/sinθcosθ]and its exact solutions are presented via the Nikiforov–Uvarov method.The angle dependent part V(θ)=(2/22M r)[(βsin22θ+γcos2θ+λ)/sinθcosθ],which is reported for the first time embodied the novel angle dependent(NAD)potential and harmonic novel angle dependent potential(HNAD)as special cases.We discuss in detail the effects of the improved ring shaped like potential on the radial parts of the spherical harmonic and Coulomb potentials.     

有限长直电流磁场的另外两种计算方法

有限长直电流磁场的计算,是电流磁场计算中的基本问题.利用电流元的概念和毕奥——萨伐尔定律可以求得图1所示的有限长直电流在P点产生的磁感应强度,其大小为B=(μ_0I/4πR)（cosθ_1-cosθ_2）=(μ_0I/4πR)(sinβ_2-sinβ_1)作为比较,这里给出该问题的另外两种计算方法.     

"小角度近似"方法及其在物理解题中的应用

1小角度近似公式 根据数学知识,三角函数sinθ,cosθ,tanθ的级数展开为 sinθ=θ-θ3/3+θ5/5+…+(-1)nθ2n+1/2n+1+…cosθ=1-θ2/2+θ4/4-θ6/6+…+(-1)nx2n/2n+…tanθ=θ+1/3θ3+2/15θ5+17/315θ7+…+22n(22n-1)Bn/2nθ2n-1+… 表1列出了1°～8°情况下,θ弧度值、sinθ、cosθ、tanθ、1-θ2/2的值.     

Nd1.85Ce0.15 CuO4-δ单晶c-轴方向电阻的低场行为

采用自助熔剂缓冷法成功地生长出了Nd1.85Ce0.15CuO4-δ单晶,其零场下零电阻温度约为21K.在0-0.5T范围内分别测量了磁场平行和垂直样品表面的电阻转变曲线以及0.5T不同角度下的电阻转变曲线.结果显示磁场平行和垂直样品表面时的转变温度Tp随磁场的变化均服从H=H0(1-Tp(h)/Tp(0))2关系.0.5T不同角度下的转变温度Tp符合有效质量模型,即Tp∝H1/12(cos2θ+sin2θ/γ2)1/4.该单晶的各向异性因子γ约为45.     

改进型Helmholtz线圈及其磁场均匀性的分析

提出将Helmholtz线圈改为3个同半径的串联线圈,以得到改进型的Helmholtz线圈,经计算得到了改进型Helmholtz线圈磁场的简单公式,对公式的分析表明：改进型Helmholtz线圈的均匀磁场区比一般Helmholtz线圈大得多。     

YBCO线圈交流损耗的有限元分析与实验验证

随着高温超导YBCO带材载流能力的不断提高和成本的逐渐降低,YBCO线圈及磁体的应用将日益广泛。文中利用有限元方法研究了YBCO线圈的交流损耗特性,计算了50Hz下线圈的瞬时交流损耗,分析了每匝带材中的电流和磁场分布。仿真结果表明,线圈内侧承受的磁场最大,但线圈中部每周期的交流损耗最大,且线圈中始终存在未被磁场穿透的区域。除此之外,文中实验测量了YBCO线圈的临界电流和交流损耗,实验结果良好地验证了仿真方法的正确性。     

Coherent spin states and energy-phase uncertainty relation

In analogy to what has been done for the quantum harmonic oscillator, two non-commuting phase operators cos Φ and spin Φ are here defined for a multi-spin system in terms of the angular momentum operators. These operators are used to introduce a satisfactory energy-phase uncertainty relation. In the classical limit it is possible to establish a correspondence between the phase operators cos Φ and sin Φ and the classical functions cos ? and sin ?, where ? is the azimuthal angle of the angular momentum. First results are reported indicating that the coherent spin states satisfy, in the classical limit, the energy-phase minimum-uncertainty relations here introduced.     

Measurement of the quark mixing parameter cos2phi1 using time-dependent Dalitz analysis of B0 -->D[KS(0)pi + pi-]h0

We present a measurement of the angle phi1 of the Cabibbo-Kobayashi-Maskawa unitarity triangle using a time-dependent Dalitz analysis of D-->KS(0)pi + pi- decays produced in neutral B meson decay to a neutral D meson and a light meson (B0-->D*h0). The method allows a direct extraction of 2phi1 and, therefore, helps to resolve the ambiguity between 2phi1 and pi-2phi1 in the measurement of sin2phi1. We obtain sin2phi1= 0.78 +/- 0.44 +/- 0.22 and cos2varphi1 = 1.87(-0.53-0.32)(+0.40 + 0.22). The sign of cos2phi1 is determined to be positive at 98.3% C.L.     

Effects of Anisotropy on Entanglement in a Two-Qubit Heisenberg XYZ Chain with Intrinsic Decoherence

Taking the intrinsic decoherence effect into account, the entanglement ofa two-qubit anisotropic Heisenberg XYZ chain in the presence of the Dzyaloshinski Moriya （DM） anisotropic antisymetric interaction is investigated in this paper. Concurrence, the measurement of entanglement, is calculated. Compared with the anisotropic in XY plane, the DM interaction is another kind of anisotropic antisymmetrie exchange interaction. It is shown that the intrinsic decoherence obviously suppresses the time evolution of the entanglement. The DM interaction only acts on the time evolution of the entanglement when the initial state is [ψ（0）〉 = cosα｜01〉 ＋ sinα｜10〉 and weakens the degree of entanglement. The anisotropic in XY plane merely impacts on the time evolution of the entanglement when the system ＆ initially in a state ｜ψ（0）〉 = cos α｜00〉 ＋ sin α｜11 〉. The sufficiently weak anisotropic in XY plane can effectively enhance the degree of entanglement.     

A generalized Hadamard transformation from new entangled state

A new entangled state | eta ;theta rangle is proposed by the technique of integral within an ordered product. A generalized Hadamard transformation is derived by virtue of | eta ;theta rangle , which plays a role of Hadamard transformation for (hat a_1 sin theta - hat a_2 cos theta ) and (hat a_1 cos theta + hat a_2 sin theta ).     

Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction

This paper investigates the entanglement evolution of a two-qubit anisotropic Heisenberg XYZ chain in the presence of Dzyaloshinskii-Moriya interaction.The time evolution of the concurrence is studied for the initial pure entangled states cos θ |00 + sin θ |11 and cos |01 + sin |10 at zero temperature.The influences of Dzyaloshinskii-Moriya interaction D,anisotropic parameter and environment coupling strength γ on entanglement evolution are analysed in detail.It is found that the effect of noisy environment obviously suppresses the entanglement evolution,and the Dzyaloshinskii-Moriya interaction D acts on the time evolution of entanglement only when the initial state is cos |01 + sin |10.Finally,a formula of steady state concurrence is obtained,and it is shown that the stable concurrence,which is independent of different initial states and Dzyaloshinskii-Moriya interaction D,depends on the anisotropic parameter and the environment coupling strength γ.     

用于时延估计的一种相关峰内插算法

本文介绍一种基于余弦函数的相关峰内插算法，在时延估计系统中，为了减少运算量和增加观察时间，采用内插算法是必要的，因为在频率估算时应用了迭代算法，所以无论对于ｃｏｓｘ，ｓｉｘ／ｘ或实际的相关峰，都有相当高的内插精度。     

涂覆石墨烯的非对称并行电介质纳米线波导的模式特性分析

采用多级展开方法,对涂覆石墨烯的非对称并行电介质纳米线波导的模式特性进行了分析.首先对这种波导中的表面等离子模式进行分类,然后对七种低阶模式的有效折射率和传播长度随工作频率、几何结构参数和石墨烯费米能的依赖关系进行详细的分析.结果表明,通过改变工作频率、几何结构参数和石墨烯的费米能,可以在较大范围内调节模式的特性.与有限元法进行的对比表明,基于多级方法的半解析结果与有限元法的数值结果非常符合.研究结果可为涂覆石墨烯的非对称并行电介质纳米线的设计和制作提供一定的理论基础.     

An Algebraic Method for Constructing Exact Solutions to Difference-Differential Equations

In this paper, we present a method to solve difference differential equation(s). As an example, we apply this method to discrete KdV equation and Ablowitz-Ladik lattice equation. As a result, many exact solutions are obtained with the help of Maple including soliton solutions presented by hyperbolic functions sinh and cosh, periodic solutions presented by sin and cos and rational solutions. This method can also be used to other nonlinear difference-differential equation(s).     

Measurement of cos2beta in B;{0}-->D;{(*)}h;{0} decays with a time-dependent Dalitz plot analysis of D-->K_{s};{0}pi;{+}pi;{-}

We study the time-dependent Dalitz plot of D-->K_{S};{0}pi;{+}pi;{-} in B;{0}-->D;{(*)}h;{0} decays, where h;{0} is a pi;{0}, eta, eta;{'}, or omega meson and D;{*}-->Dpi;{0}, using a data sample of 383x10;{6} Upsilon(4S)-->BB[over ] decays collected with the BABAR detector. We determine cos2beta=0.42+/-0.49+/-0.09+/-0.13, sin2beta=0.29+/-0.34+/-0.03+/-0.05, and |lambda|=1.01+/-0.08+/-0.02, where the first error is statistical, the second is the experimental systematic uncertainty, and the third, where given, is the Dalitz model uncertainty. Assuming the world average value for sin2beta and |lambda|=1, cos2beta>0 is preferred over cos2beta<0 at 86% confidence level.     

t(1) noise and sensitivity in pulsed field gradient experiments

In this paper, a calculation routine based on product operator formalism and coherence pathway is presented, which describes t(1) noise and sensitivity in pulsed field gradient experiments. Several examples including the absolute value mode pulsed field gradient COSY, MQF-COSY, MQC, HMQC, and NOESY sequences are investigated to study the t(1) noise stemming from the phase errors of radiofrequency (RF) pulses and the sensitivity affected by RF pulse rotation angles. Our theoretical results indicate that the t(1) noises in P-type COSY, multiple-quantum-filtered (MQF)-COSY, and multiple-quantum coherence (MQC) are lower than those in the N-type corresponding experiments, while in HMQC and NOESY there is no difference in t(1) noise effects between P-type and N-type spectra. Meanwhile, from the calculations, we obtained the optimized RF pulse rotation angles in those sequences. In MQF-COSY, an increase in sensitivity of about 4(cos(2)θ sin(q-1)2θ)(2) - 1 (θ = arc cot can be achieved by using the optimized angles. In MQC, the increase is 2 cos(2)θ sin(q-1)2θ - 1 (θ = arc cot. MQF-COSY experiments are also carried out to support our corresponding theoretical results.