Energy basis via decoherence

The question of the emergence of a preferred basis which is generally understood as that basis in which the reduced density matrix is driven to a diagonal (classically interpretable) form via environment induced decoherence is addressed. The exact solutions of the Caldeira-Leggett Master Equation are analyzed for a free particle and a harmonic oscillator system. In both cases, we see that the reduced density matrix is driven diagonal in the energy basis, which is momentum for the free particle and the number states for the harmonic oscillator. This seems to single out the energy basis as the preferred basis which is contrary to the general notion that it is the position basis which is selected since the coupling to the environment is via the position coordinates     

Solitary wave solutions for nonlinear Schrödinger equation with non-polynomial nonlinearity

A new kind of non-polynomial nonlinearity is introduced in the nonlinear Schrödinger equation (NLSE) and the conditions are determined for which it admits solitary wave solutions. The study is done for two cases: one in which the nonlinear interaction is of the non-polynomial form and second in which cubic nonlinearity is also included along with the radical nonlinearity. Dark and bright solitary waves solutions are obtained in the respective cases. Further, later case is extended to conditions for which corresponding equation reduces to driven quadratic-cubic NLSE possessing cnoidal solutions with plane wave phase, which reduces to bright soliton for a certain parameter.     

SHER-HIAF ring lattice design

The Super Heavy Experimental Ring (SHER), which is one of the rings of the next accelerator complex High Intensity Heavy Ion Accelerator Facility (HIAF) at IMP, has to be optimized for e-cooling. Its lattice is designed for two modes: the first is the isochronous mode, which is a time-of-flight mass spectrometer for short-lived secondary nuclei, the second is the storage ring mode, which is used for collecting and cooling the secondary rare isotope beams from the transport line. In order to fulfil its purpose, the ion optics can be set to different ion optical modes.     

A Complex Network Model for Analyzing Railway Accidents Based on the Maximal Information Coefficient

It is an important issue to identify important influencing factors in railway accident analysis. In this paper, employing the good measure of dependence for two-variable relationships, the maximal information coefficient (MIC), which can capture a wide range of associations, a complex network model for railway accident analysis is designed in which nodes denote factors of railway accidents and edges are generated between two factors of which MIC values are larger than or equal to the dependent criterion. The variety of network structure is studied. As the increasing of the dependent criterion, the network becomes to an approximate scale-free network. Moreover, employing the proposed network, important influencing factors are identified. And we find that the annual track density-gross tonnage factor is an important factor which is a cut vertex when the dependent criterion is equal to 0.3. From the network, it is found that the railway development is unbalanced for different states which is consistent with the fact.     

SHER-HIAF ring lattice design

The Super Heavy Experimental Ring （SHER）, which is one of the rings of the next accelerator complex High Intensity Heavy Ion Accelerator Facility （HIAF） at IMP, has to be optimized for e-cooling. Its lattice is designed for two modes： the first is the isochronous mode, which is a time-of-flight mass spectrometer for short-lived secondary nuclei, the second is the storage ring mode, which is used for collecting and cooling the secondary rare isotope beams from the transport line. In order to fulfil its purpose, the ion optics can be set to different ion optical modes.     

A General Theory of Non-Abelian Electrodynamics

The general theory of gauge fields is used to develop a theory of electrodynamics in which the fundamental structure is non-Abelian and in which the internal gauge field symmetry is O(3), based on the existence of circular polarization and the third Stokes parameter. The theory is used to provide an explanation for the Sagnac effect with platform at rest and in motion. The Sagnac formula is obtained by considering the platform in motion to be a gauge transformation. The topological phases can be described straightforwardly with non Abelian electrodynamics, which produces a novel magnetic field component for all types of radiation, a component which is proportional to the third Stokes parameter. The theory provides a natural explanation for the inverse Faraday effect without phenomenology.     

硅基发光材料研究进展

微电子技术是高技术中的关键技术，硅是微电子技术的基础材料，但是硅是一种非发光材料，为了发展光电集成技术，必须大力发展硅基发光材料，多孔硅是一种有希望的硅基发光材料，它表明纳米晶粒中的量子限制效应对光发射是极有效的，随之涌现出一系列量子限制硅基发光材料，为发展光电子集成提供了新的途径。     

Quark-gluon amplitudes in the dual expansion

The dual representation, which gives a simple analytical form for purely gluonic amplitudes, is extended to amplitudes which include a quark-antiquark pair. To minimize the calculations, supersymmetry is used to relate the purely gluonic amplitudes to those including a gluino pair from which the quark-antiquark amplitudes are easily deduced. We explicitly give simple analytical forms for the full amplitudes for those multi-parton processes which involve a quark-antiquark pair plus two, three and four gluons.     

Cartesian Dynamics of Simple Molecules I Diatomics and Centrosymmetric Triatomics

A simple spring model for molecular vibrations is described in which Cartesian co-ordinates are used for both longitudinal and transverse displacements. The transverse restoring forces are shown to be electrostatic in origin and much weaker than the elastic longitudinal forces. The technique is applied to diatomic and centrosymmetric triatomic molecules. In the latter case, an analytical expression for the bending mode frequency is obtained which is equivalent to that derived by conventional methods using bending constants and internal co-ordinates. The model offers certain advantages when applied to the dynamics of crystals, for which Cartesian co-ordinates, aligned with the unit cell axes, are the natural choice. Reference is made to recent work on molecular and ionic crystals using extensions of this model.     

The influence of the stoichiometry on the Eu nuclear spin-spin relaxation in EuO single crystals

The ¹⁵³Eu spin-spin relaxation for two spherical EuO single crystals of different composition has been measured for two saturating field values of 2 and 6 T. The relaxation can be described by two time constants, a short one increasing with the magnetic field, arising from the Suhl-Nakamura coupling and a long one, due to the dipolar coupling, which is field independent. It is shown that the number of nuclei which are relaxed due to the dipolar coupling increases at increasing magnetic fields, in agreement with the Suhl-Nakamura theory. For the sample which is nearly stoichiometric the relative number of nuclei which is relaxed due to the SN coupling is much larger than for the sample which contains an excess of Eu atoms.     

Deriving Internal Energy by Virtue of Generalized Feynman-Hellmann Theorem for Mixed States

We show how to directly use the generalized Feynman-Hellmann theorem, which is suitable for mixed state ensemble average, to derive the internal energy of Hamiltonian systems. A concrete example, which is a two coupled harminic oscillators, is used for elucidating our approach.     

Application of the steiner street problem to a more economical data bus

A data bus consists of the interconnection of N terminals, each of which is connected to every other terminal. There are three fundamental approaches to the topology of the network: (1) the tee network, for which the connecting nodes coincide with the communicating nodes; (2) the star network, for which there is only one connection node, which may not coincide with a communication node; and (3) the Steiner minimal tree network, for which there can be many nodes, each of which is difficult to locate in the x-y plane. The tee and star approaches are receiving most attention but the third is the only one that economizes on the use of cable (glass fiber waveguide). After a discussion of the tee and star networks, we turn to the Steiner minimal tree network and a method of locating the connecting nodes so that the total amount of cable is minimized.     

1700 线/mm镀金光栅的拼接理论和实验研究

提出了一个能够实时地监控拼接光栅状态的方案；理论上论证了氦氖光不能用来实时监控1740线衍射光栅的光栅拼接实验；提出了一种选择监控光波长的方法，使得拼接光栅的各种误差对于主光束和监控光的影响是一致的，并且通过实验进行了验证. 关键词： 拼接光栅 刻线密度误差 实时监控 光栅对压缩池     

Multiple scattering in the high-frequency limit with second-order shadowing function from 2D anisotropic rough dielectric surfaces: I. Theoretical study

In this paper the first- and second-order Kirchhoff approximation is applied to study the backscattering enhancement phenomenon, which appears when the surface rms slope is greater than 0.5. The formulation is reduced to the geometric optics approximation in which the second-order illumination function is taken into account. This study is developed for a two-dimensional (2D) anisotropic stationary rough dielectric surface and for any surface slope and height distributions assumed to be statistically even. Using the Weyl representation of the Green function (which introduces an absolute value over the surface elevation in the phase term), the incoherent scattering coefficient under the stationary phase assumption is expressed as the sum of three terms. The incoherent scattering coefficient then requires the numerical computation of a ten- dimensional integral. To reduce the number of numerical integrations, the geometric optics approximation is applied, which assumes that the correlation between two adjacent points is very strong. The model is then proportional to two surface slope probabilities, for which the slopes would specularly reflect the beams in the double scattering process. In addition, the slope distributions are related with each other by a propagating function, which accounts for the second-order illumination function. The companion paper is devoted to the simulation of this model and comparisons with an 'exact' numerical method.     

感兴趣区域提升幅度确定及编码

基于小波变换的星载图像压缩中,感兴趣区域编码实现面临主要问题之一是如何确定小波域系数提升的幅度.提出了一种比特平面熵估计值计算模型及计算算法,能够有效逼近比特平面编码实际输出码率,同时提出了系数提升幅度的算法,从而解决了基于比特平面提升的感兴趣区域编码中系数提升幅度确定问题,可以保证感兴趣区域重建质量要求的前提下,背景和总体重建质量更好.该算法是根据图像内容和用户要求计算系数提升幅度,不需要进行人工干预,图像的复杂度不同,提升幅度也会不同.该算法适合感兴趣区域确定如干涉高光谱图像这类图像的编码.仿真结果表明,尽管不同图像具有不同的复杂度,本文算法都能够准确确定感兴趣区域系数的提升幅度,从而有效保证了总体编码效果更好.     

Sound radiation from perforated plates

A practical engineering noise control measure that can often be used for plate-like structures is to construct them from perforates. This can dramatically reduce the sound radiation from such structures. Here, a prediction model is developed to quantify this effect. It is an extension of Laulagnet's model for the radiation from an unbaffled plate, which expresses the surface pressure difference as well as the plate velocity as a sum over plate modes. The perforation is included in terms of a continuously distributed surface impedance, which for moderately sized holes is predominantly inertial. Results show that the radiation efficiency reduces, not only as the perforation ratio increases but also as the hole size reduces for a given perforation ratio. Experimental validation is given which shows a good agreement with the predictions. An approximate formula is also proposed for the effect of perforation which corresponds well with the analytical calculations up to half the critical frequency and could be used for an engineering application to predict the noise reduction due to perforation. A model for the case of a perforated plate embedded in an equally perforated baffle is also discussed for comparison.     

Improvement of the average action

We propose an improvement for the average action which helps to decouple particles with heavy masses. Comparison is made with various other formulations for effective actions for which the short distance degrees of freedom are integrated out. In particular, the improved average action is closely related to a scale-dependent effective action for which an exact evolution equation was found recently.     

Melting curves of FCC-metals by cell-theory

The cell model is developed to account for many body interaction effects, as occurring in the embedded atom method (EAM) potentials, and crystal lattice features to determine the free energy of FCC metals. The well known smearing approximation, which is generally used in conjunction with pair potentials, is also developed for EAM potentials. The free energy so obtained is used to determine melting curves of FCC metals. For this purpose, the liquid phase free energy is calculated using the corrected rigid spheres model. The advantage of our scheme, which is verified with data on Lennard-Jones solids, is that both free energies are based on the same interaction potential. Results match well with the available experimental/theoretical data for Al and Cu. A good agreement is also found for the transition metals, Ni and Pt, for which molecular dynamics as well as theories like Lindemann's law do not give accurate results. It is also found that smearing approximation, which neglects interactions beyond nearest neighbors, also provides good estimates for free energy if many body effects are accounted with EAM potential.     

连续时间系统二维不稳定流形的异构算法

非线性系统的二维流形通常具有复杂几何结构和丰富动力学信息,因此在流形计算与可视化时存在大量的不可避免的数值计算.因此,如何高效地完成这些计算就成了关键问题.鉴于当今计算机的异构发展趋势(包含多核CPU和通用GPU),本文在兼顾精度和通用性的基础上,提出了适用于新一代计算平台的快速流形计算方法.本算法将计算任务分为轨道延伸和三角形生成两部分,前者运算量大而单一适合GPU完成,后者运算量小而复杂适合CPU执行.通过对Lorenz系统原点稳定流形的计算,表明本算法能充分发挥异构平台的综合性能,可大幅度提高计算速 关键词： 不稳定流形 流形计算 异构计算 Lorenz系统