On the quantization of the Kowalevskaya top

The equations of motion of a heavy top can be integrated for three different combinations of the parameters of the system. Historically, the discovery of these three integrable cases is attributed to Euler, Lagrange and Kowalevskaya, respectively. While the quantization of the first two cases can be performed in a straightforward way, the quantum integrability of the Kowalevskaya top is far from trivial. We show here how one can recover quantum integrability for this case as well.     

Note on the solution of the master equation in the exciton model of pre-equilibrium theory

In a number of publications the master equation of the exciton model of pre-equilibrium theory for nuclear reactions is solved by iterative means. It is shown in this note that an exact and analytical solution of this particular type of master equation exists and can be calculated. The time integral over the solution of this master equation can be obtained by a simple method, from which the summed pre-equilibrium and equilibrium emission spectra can be calculated very easily.     

The application of the QSSA via reaction lumping for the reduction of complex hydrocarbon oxidation mechanisms

The quasi-steady-state approximation (QSSA) has been widely applied for the purposes of chemical kinetic model reduction. Although it is essentially a low-order approximation, it can be shown to lead to significant reductions in the number of fast variables within a mechanism without significant loss of accuracy for model predictions. Due to the couplings between QSSA expressions, the species are commonly solved for using numerical inner iteration techniques. Therefore, although the stiffness of the model system can be reduced, there is a computational overhead in solving the often nonlinear QSSA equations. Greater computational savings can be made where QSS species can be removed from the chemical model via explicit analytical expressions. In many cases these expressions are equivalent to reaction lumping. Where such reaction lumping can be achieved, a reduced mechanism in standard kinetic form can be developed, which contains new lumped reaction rate coefficients, but leads to the removal of QSS species. This paper describes such an approach for mechanisms describing the oxidation of the hydrocarbon fuels n-heptane and cyclohexane, and shows that significant reductions in both species and reactions can be achieved, leading to substantial computational speed-ups. The resulting schemes clearly demonstrate the main atomic flux patterns within the oxidation process. Patterns related to the time-scales of hydrocarbon radical species within alkane oxidation mechanisms are discussed, as well as the potential significance of non-QSS radicals in determining ignition behaviour.     

Analysis of the neutralino system in supersymmetric theories

Charginos and neutralinos in supersymmetric theories can be produced copiously at colliders and their properties can be measured with high accuracy. Consecutively to the chargino system, in which the SU(2) gaugino parameter , the higgsino mass parameter and can be determined, the remaining fundamental supersymmetry parameter in the gaugino/higgsino sector of the minimal supersymmetric extension of the Standard Model, the U(1) gaugino mass , can be analyzed in the neutralino system, including its modulus and its phase in CP–noninvariant theories. The CP properties of the neutralino system are characterized by unitarity quadrangles. Analytical solutions for the neutralino mass eigenvalues and the mixing matrix are presented for CP–noninvariant theories in general. They can be written in compact form for large supersymmetric mass parameters. The closure of the neutralino and chargino systems can be studied by exploiting sum rules for the pair-production processes in collisions. Thus the picture of the non–colored gaugino and higgsino complex in supersymmetric theories can comprehensively be reconstructed in these experiments. Received: 24 August 2001 / Published online: 21 November 2001     

磁梯度张量不变量的椭圆误差消除方法研究

基于磁梯度张量不变量定位方法, 可以实现对目标的单点实时定位, 且定位目标不限于静止目标, 这一方法目前得到了人们的广泛关注, 但该方法由于存在着椭圆系数导致目标定位误差较大的问题. 针对该问题, 提出了一种基于正六面体磁梯度张量测量系统的单点实时定位改进方法, 该方法通过消除原定位方法中不变量存在的椭圆系数, 从而克服椭圆误差对定位精度的影响. 具体做法是通过求解测量系统中正六面体的六个平面中心点处磁梯度张量的特征值, 并把这些特征值按照一定关系进行组合来消除椭圆系数, 来获得六个平面的新不变量, 再对这些新不变量求其梯度值, 根据这些梯度值对目标进行定位, 这样该定位方法可以有效的克服椭圆误差, 可对目标进行单点实时定位. 对改进定位方法进行了仿真实验分析, 结果表明改进方法可以实现目标的单点实时定位, 定位的平均相对误差较现有方法减少10.9%. 改进方法对所搭载平台的机动性要求较低, 其平台可做直线或曲线运动对目标实现单点实时定位.     

Field form of perturbation theory for calculating the matrix elements of operators between the states of two degenerate atomic levels. I

It is shown that the calculation of the matrix elements between degenerate states of arbitrary atomicmolecular systems can be reduced to a calculation of the matrix elements for some auxiliary operator. The perturbation theory for this calculation can be given a field form, and its matrix elements can be expressed in terms of the contributions from special Feynman diagrams. The exact rules are formulated for constructing the contributions from these diagrams.     

Perceptual relevance of the temporal envelope to the speech signal in the 4-7 kHz band

The perceptual relevance of adopting the temporal envelope to model the frequency band of 4-7 kHz (highband) in wideband speech signal is described in this letter. Based on theoretical work in psychoacoustics, we find out that the temporal envelope can indeed be a perceptual cue for the high-band signal, i.e., a noiseless sound can be obtained if the temporal envelope is roughly preserved. Subjective listening tests verify that transparent quality can be obtained if the model is used for the 4.5-7 kHz band. The proposed model has the benefits of offering flexible scalability and reducing the cost for quantization in coding applications.     

One Way to Solve the Puzzle of γ5 in the Dimensional Regularization

By calculating the Dirac matrices in four dimensions and performing the dimensional regularization for loop momentum integration variables, various Ward identities can be obtained straightforwardly and the puzzle for extending γ5 to n dimensions can be solved.     

Path summation formulation of the master equation

Markovian dynamics, modeled by the kinetic master equation, has wide ranging applications in chemistry, physics, and biology. We derive an exact expression for the probability of a Markovian path in discrete state space for an arbitrary number of states and path length. The total probability of paths repeatedly visiting a set of states can be explicitly summed. The transition probability between states can be expressed as a sum over all possible paths connecting the states. The derived path probabilities satisfy the fluctuation theorem. The paths can be the starting point for a path space Monte Carlo procedure which can serve as an alternative algorithm to analyze pathways in a complex reaction network.     

On the BRST quantization of chiral bosons

The Siegel action for two right-moving chiral bosons can be BRST quantized. In the case in which their kinetic terms have opposite signs the momenta in the left-moving sector must be constrained to be zero. In this case the two chiral bosons can be described also by a quadratic action. There is no analogous BRST quantization for a single chiral boson.     

On the calculation of the classical Liouville operator for the step-type interparticle interaction

A new method of the determination of the Liouville operator for the step-type interparticle interaction is presented. The interaction part of the Liouville operator is calculated for the particles interacting via a spherical repulsive and spherical attractive barrier. Limiting cases of an infinitely high (hard core) and infinitely deep barrier are discussed. These results can be used for the determination of the interaction part of the Liouville operator for an arbitrary step-type interaction which can be expressed as a sum of several attractive and repulsive barriers.     

CCD相机调制传递函数测试软件的研制

数学傅立叶分析法是测量调制传递函数常用的一种方法，为了迅速地给出采用该方法进行调制传递函数测试的结果，针对刀口扫描测试CCD相机调制传递函数的测试系统研制了测试软件。软件可读入CCD相机摄取的数字图像文件，对数据进行消噪声处理，并自动识别刀口位置，选择合适区域计算出相机的调制传递函数。软件采用VC语言编制，结果以列表和曲线两种形式输出，用户界面良好，使用方便。利用该软件得到的测试结果与俄罗斯软件的计算结果吻合较好。     

Excluding the effects of extraneous materials in the de termination of rubidium by absorption flame photometry

It was found that certain effects occasioned by the ionization of rubidium atoms in the absorption flame-photometric determination of rubidium can be eliminated through appropriate choice of the portion of the flame used for photometry. The distortion of D-C curves and the effect of extraneous alkali metals can be excluded by photometrizing the zone adjacent to the inner cone. The effect of hydrochloric acid can be excluded by using the zone lying 4–8 mm above the inner cone.     

Diffusion approximations of the two dimensional master equation

The effects of rotational energy transfer on unimolecular dissociation are assessed using a two-dimensional master equation approach. The collision operator for such a system can be very large, and approximations are sought that reduce the size of the matrix that has to be stored. The density of states of the vibrational energy is large for most molecules and can be treated as virtually continuous. As a consequence, motion in vibrational energy space can be treated using a diffusion equation approach. This reduces the storage requirements greatly and increases the speed at which diagonalization occurs. Results are presented for the dissociation of ethane and methane.     

Testing the structure of multipartite entanglement with Bell inequalities

We show that the rich structure of multipartite entanglement can be tested following a device-independent approach. Specifically we present Bell inequalities for distinguishing between different types of multipartite entanglement, without placing any assumptions on the measurement devices used in the protocol, in contrast with usual entanglement witnesses. We first address the case of three qubits and present Bell inequalities that can be violated by W states but not by Greenberger-Horne-Zeilinger states, and vice versa. Next, we devise 'subcorrelation Bell inequalities' for any number of parties, which can provably not be violated by a broad class of multipartite entangled states (generalizations of Greenberger-Horne-Zeilinger states), but for which violations can be obtained for W states. Our results give insight into the nonlocality of W states. The simplicity and robustness of our tests make them appealing for experiments.     

Approximation of the soliton solution for the generalized Vakhnenko equation

A class of generalized Vakhnemko equation is considered. First, we solve the nonlinear differential equation by the homotopic mapping method. Then, an approximate soliton solution for the original generalized Vakhnemko equation is obtained. By this method an arbitrary order approximation can be easily obtained and, similarly, approximate soliton solutions of other nonlinear equations can be acquired.     

利用综合复用技术拓展数字全息显微系统中的记录视场

为了解决现有数字全息显微系统中高分辨率与大记录视场无法同时兼得的问题, 提出了一种在不牺牲分辨率的前提下拓展数字全息显微记录视场的方法. 该方法中运用了波长不同、偏振态不同的四路相互不相干的探测物光, 同时探测被测样品四个相邻的不同区域, 并使这四束探测物光分别与其相应的参考光相干, 在记录面上同时记录下含有被测样品不同区域信息的复合全息图. 将获得的复合全息图经过频谱变换和数字滤波, 分别重构出所记录区域的振幅和相位分布.最后通过图像拼接和图像融合技术, 可实现接近原记录视场四倍的大视场数字全息显微记录. 该方法在测量过程中无需移动记录装置、光源和被测样品, 单次曝光即可实现, 实验结果验证了本文所提方法的可行性. 关键词： 数字全息显微术 角分复用 偏振复用 波长复用     

A Unified Approach to the Analysis of a Category of H-Plane Discontinuities

Based on the mode matching method, the generalized scattering parameters including the fundamental and higher order modes (multi-modes) are obtained for the discontinuity interface of a category of waveguide H-plane discontinuities. Then by using a general port-connection order-decrease method raised by the author, the whole discontinuity including the two interfaces and the intermediate part of finite length or zero length (as is the case for very thin inductive windows or irises) can be combined into one network, and the generalized scattering parameters of this network can be obtained from which the scattering parameters of the fundamental mode can be extracted. If needed, the equivalent circuit parameters can be calculated directly from the scattering parameters. Examples are given to show the validity and versatility of this new method for dielectric filled waveguide, inductive iris and/or window, E-plane metal and/or finline insert, and even the offset E-plane finline insert, etc.. Multiple inserts, windows and irises can also be analysed.     

An increase in the sensitivity of the saturated absorption method in the multimode regime

A possibility for an increase in the signal-to-noise ratio in the laser spectroscopy that is free of Doppler broadening and is based on the saturated absorption is considered. The application of the counter-propagating laser beams in the multimode regime is proposed. The number of atoms that effectively interact with the field, and, hence, the intensity of a narrow resonance in the line shape can be increased due to the interaction of the counterpropagating modes with different frequencies. It is demonstrated that, for the intrinsic photon noise, the signal-to-noise ratio can be increased by a factor of √N, where N is the number of modes. For the remaining noises (fluctuations of the radiation power, noise of photodetector, etc.), the signal-to-noise ratio can be increased by a factor of N.     

基于二极管阵列检测器的色谱峰纯度的快速直观鉴定

基于二极管阵列检测器（DAD）得到的色谱-光谱图,通过去噪、归一化、计算欧氏距离,聚类分析等方法,建立了一种快速直观的评价色谱峰纯度的有效方法：可直观的判断色谱峰的纯度,并判断存在干扰峰的位置,为色谱工作者评价色谱峰,进行下一步工作提供了依据。