Wave mechanics in quantum phase space: hydrogen atom

The rigorous solutions of the stationary Schrodinger equation for hydrogen atom are solved with the wave-mechanics method within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The "Fourier-like" projection transformations of wave function from the phase space to position and momentum spaces are extended to three-dimensional systems. The eigenfunctions in general position and momentum spaces could be obtained through the transformations from eigenfunction in the phase space.     

Content-Based Image Retrieval: Near Tolerance Rough Set Approach

<正>The problem considered in this paper is how to detect the degree of similarity in the content of digital images useful in image retrieval,i.e.,to what extent is the content of a query image similar to content of other images.The solution to this problem results from the detection of subsets that are rough sets contained in covers of digital images determined by perceptual tolerance relations(PTRs).Such relations are defined within the context of perceptual representative spaces that hearken back to work by J.H.Poincare on representative spaces as models of physical continua.Classes determined by a PTR provide content useful in content-based image retrieval(CBIR).In addition,tolerance classes provide a means of determining when subsets of image covers are tolerance rough sets(TRSs).It is the nearness of TRSs present in image tolerance spaces that provide a promising approach to CBIR,especially in cases such as satellite images or aircraft identification where there are subtle differences between pairs of digital images,making it difficult to quantify the similarities between such images.The contribution of this article is the introduction of the nearness of tolerance rough sets as an effective means of measuring digital image similarities and,as a significant consequence,successfully carrying out CBIR.     

Wave mechanics in quantum phase space: hydrogen atom

The rigorous solutions of the stationary Schr?dinger equation for hydrogen atom are solved with the wave-mechanics method within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The “Fourier-like” projection transformations of wave function from the phase space to position and momentum spaces are extended to three-dimensional systems. The eigenfunctions in general position and momentum spaces could be obtained through the transformations from eigenfunction in the phase space.     

Constructing parametric triangular patches with boundary conditions

The problem of constructing a parametric triangular patch to smoothly connect three surface patches is studied. Usually, these surface patches are defined on different parameter spaces. Therefore, it is necessary to define interpolation conditions, with values from the given surface patches, on the boundary of the triangular patch that can ensure smooth transition between different parameter spaces. In this paper we present a new method to define boundary conditions. Boundary conditions defined by the new method have the same parameter space if the three given surface patches can be converted into the same form through affine transformation. Consequently, any of the classic methods for constructing functional triangular patches can be used directly to construct a parametric triangular patch to connect given surface patches with G^1 continuity. The resulting parametric triangular patch preserves precision of the applied classic method.     

Dual Orlicz affine surface area

According to the notion of Orlicz mixed volume, in this paper, we extend L_p-dual affine surface area to the Orlicz version. Further, we obtain the affine isoperimetric inequality and the Blachke-Santaló inequality for the dual Orlicz affine surface area. Besides, we also get the monotonicity inequality for Orlicz dual affine surface area.     

Atomic Decompositions of Weak Hardy Spaces of B-Valued Martingales

The atomic decompositions of weak Hardy spaces of Banach-space-valued martingales are given. With the help of the atomic decompositions, some inequalities for B-valued martingales are established in the case 0〈r≤1. Here the results are connected closely with the p-uniform smoothness and q-uniform convexity of Banach spaces which the martingales take values in.     

Lie map for the nonlinear transport of continuous intense beams in the axial-symmetric electrostatic fields

Nonlinear transport of intense continuous beam in the axial-symmetric electrostatic fields is analyzed with the Lie algebraic method. The K-V particle distribution is adopted in the analysis. The results obtained can be used in the calculations of the intense continuous beam dynamics in the beam optical systems consisting of drift spaces, electrostatic lenses, and DC electrostatic accelerating tubes. A computer code has been designed for practical simulations. To meet the needs of accurate calculation, all the elements are divided into many small segments, the electric fields in each segment are regarded as uniform fields, and the dividing points are treated as thin lenses. Iteration procedures are adopted in the code to obtain self-consistent solutions. The code can be used to design low energy dc beam transport systems, electrostatic accelerators, and ion implantation machines.     

Trend of urban system structure under the restriction of water and land resources in Xinjiang

On the basis of studies on water and land resources affecting urban development and urban system structure in Xinjiang, this paper analyzes the utilization status and shortage of urban water resources. It is considered that both the consumption and waste of urban water resources are in an increase trend. Most cities and towns in Xinjiang are in shortage of water resources, however, waste of water resources are serious, especially in small towns. The development of the megapolis and moderate cities is evidently restricted by limited land resources. Though there are relatively large spaces of expanding the small cities and towns, the output benefits of water and land resources are low. In order to achieve the ordinal expansion of urban system structure in Xinjiang, it is suggested to take the urban spatial development pattern of ＂one circle and three belts＂ and the resources-economized strategy in the rapid development of urbanization.     

A new class of harmonic univalent functions by the generalized Salagean operator

A complex-valued harmonic functions that are univalent and sense preserving in the unit disk U can be written in the form f = h ＋ g^-, where h and g are analytic in U. We define and investigate a new class SHPλ（α,β）by generalized Salagean operator of harmonic univalent functions. We give sufficient coefficient conditions for normalized harmonic functions in the class SHPλ（α,β） These conditions are also shown to be necessary when the coefficients are negative. This leads to distortion bounds and extreme points.     

Polaronic effect on a bound polaron

Feynman variational path-integral theory was used to obtain the groud-state energy of a polaron in a quantum well in the presence of a Coulomb potential for arbitray values of the electron-phonon couplng constant α.Numerical and analytical results showed that the energy shift was more sensitive to α than to the Coulomb binding parameter(β) and increased with the decrease of effective quantum well width lZ.it was intersting that due to the electronic confinement in the quasi-2D(quantum well)structures,the lower bound of the strong coupling regime was shifted to smaller values of α.Comparison of the polaron in the quantum well with that in the quantum wire or dot showed that the polaronic effect strengthened with decrease of the confinement dimension.     

Discussing the Expansive Learning in Modern Organizations

<正>1 Introduction Endeavours on learning methods have long occupied the mind spaces of scholars and there have been theories abound on how people learn and in what way organisations can use some of the knowledge gained in the art of learning to maximise human productivity.While the theories by themselves are not solutions to problems,they are steps of inquiry that provide us with interesting perspectives that we can use to extend our knowledge of the dimensions of learning.This paper is an exploratory work on the theories postulated by three notable scholars including Zimmerman     

Coloidal Silocon Nnaocrystals and Their Functionalization with Carbon Nanotubes

1 Results The silicon nanocrystals (Si-ncs) are quasi-0D materials with rather unique physical and chemical properties that raise hope for optoelectronic applications. The strategy to improve the Si-ncs performances, as ensemble, is to increase their concentration in the device active layer. In particularly, substantial interest has arisen in the development of numerous synthesis techniques to produce luminescent Si-ncs with high concentrations. In recent years, we have concentrated our activities on preparing of colloidal Si-ncs by electrochemical etching[1], and pulsed laser ablation in liquid solutions[2-3]. In this talk I will give a brief account of our work on preparation Si-ncs in colloidal solutions and their functionalization with carbon nanotubes.     

Coupled Coincidence Points for F-Contractive Type Mappings in Partially Ordered Metric Spaces

In this article, some coupled coincidence point results for two mappings g: X →X and G: X ×X→X satisfying F-contractive type conditions are obtained, and some coupled fixed point results are derived in partially ordered metric spaces. A sufficient condition for uniqueness of coupled point of coincidence are established for F type contraction, and a coupled common fixed point theorem is obtained. Some examples are given to support our results.     

Constructing uniform color space in CIECAM97s

The uniformity of two pairs of color spaces based on CIE 1997 color appearance model (CIECAM97s) is analyzed according to color-discrimination ellipses that are constructed using color-difference evaluation data. A new uniform color space named Jucs a ucs b ucs is deduced by re-scaling the coordinates of lightness, redness-greenness and vellowness-blueness in two initial color spaces using linear regression method. The uniformity of the new color space is obviously improved compared with the initial color spaces.     

BEM Analysis of Wave Propagation in a Water-Filled Borehole in an Anisotropic Solid

This paper describes a time-domain boundary element method developed to analyze the interactions of acoustic and elastic waves near the interfaces between water and an anisotropic elastic solid. Two models are analyzed with one being the interface between two half spaces of fluid and solid and the other being a fluid region sandwiched by half space domains of anisotropic elastic solids. Both monopole and dipole point sources are used to generate an initial pressure wave in the fluid. Some snapshots of the transient wave behavior near the fluid-solid interfaces are given. The effect of the anisotropy in the solid on the pressure waveforms in the fluid is discussed. The numerical results allow detailed arrival identification and interpretation of acoustic and elastic waves propagating along the fluid-solid interfaces.     

Trust Evaluation Model Based on Behavior Space Classification for Ad Hoc Networks

Trust management frameworks are used to evaluate and manage trust relationships between network nodes and enhance network security.However,trust management frameworks themselves are vulnerable to attacks.Attacks against trust management frameworks are described in this paper with a trust management framework to resist them.The trustworthiness between nodes is evaluated to classify node behavior using a three-dimensional classifier based on a fuzzy integral.Different behaviors are mapped to different behavioral spaces to detect malicious nodes and identify their behavior types.The security of ad hoc networks is then improved by various measures to handle different types of malicious behavior.Simulations of the model on the System In The Loop (SITL) platform show that this trust management framework can separate normal nodes and malicious nodes and can distinguish different types of malicious nodes.     

Evaluation of Metal Fatigue Problems Using Qualitative Reasoning Approach

Fatigue failures are often encountered in steel structures under heavy cyclic loadings. This paper presents metal fatigue problems in structural engineering using outcomes of recent advancements in numerical qualitative reasoning. Qualitative reasoning provides an effective and sound technique for solving complex and uncertain scenarios, regardless of the uncertainty or linearity of the design parameters and their constraints. This paper introduces the algorithms behind a software platform, built upon numerical qualitative reasoning for engineering applications. The software expresses the results of the analysis in variable ranges and diagrams showing a two-dimensional design space. The capability of representing design parameters and outcomes in solution spaces provides a practical way for engineers to leverage their existing knowledge and experience. Case studies in metal fatigue design are given to reflect on the capability of qualitative reasoning in engineering applications.     

σ积的某些性质(英文)

All spaces in this paper are Hausdorff.For all undefined notions are in[3,4,6,8].The notion ofσ-products was introduced in[3]and some interestingresults was given in[1-3,5,7,9].It plays an important role in the study of anumber of covering and separation properties.In this paper the followingtheorems are proved.     

保距性质和等距映射

Some results about the Aleksandrov problem in p -normed spaces ( 0 < p ≤ 1) are obtained.     

A review on chemical oxygen supply technology within confined spaces: Challenges,strategies, and opportunities toward chemical oxygen generators (COGs)

Chemical oxygen generators (COGs) have been used worldwide in confined spaces as an emergency oxygen supply technology, mainly because they are independent and have a long shelf life. However, a number of challenges related to COGs remain unsolved, and a literature review of the current state of the technology is needed. First, the present article summarizes the basic information and applications of COGs, including their oxygen production mechanism, components, forming technology, and ignition system. Four current challenges encountered in applying COGs are discussed, along with the strategies adopted thus far to solve these problems, as found in the published literature. The literature survey reveals that, although much effort has been devoted to controlling the oxygen production rate and the heat output of COGs, the mechanism of producing toxic gases remains unclear and a reliable and safe ignition system has not been fully developed. Finally, future opportunities in the development of COGs are briefly listed.