Quantum Size Effects on Two Electrons and Two Holes in Double-Layer Quantum Dots

We propose a procedure to solve exactly the Schrodinger equation for a system of two electrons and two holes in a double-layer quantum dot by using the method of few-body physics. The features of the low-lying spectra have been deduced based on symmetry. The binding energies of the ground state are obtained as a function of the electron-to-hole mass ratio σ for a few values of the quantum dot size.     

Two Electrons in a Quantum Dot: A Unified Approach

Low-lying energy levels of two interacting electrons confined in a two-dimensional parabolic quantum dot in the presence of an external magnetic field have been revised within the frame of a novel model. The present formalism, which gives closed algebraic solutions for the specific values of magnetic field and spatial confinement length, enables us to see explicitly individual effects of the electron correlation.     

A Unified Approach to Poisson Reduction

Given any Poisson action G×PP of a Poisson–Lie group G we construct an object =T ^*G*T^* P which has both a Lie groupoid structure and a Lie algebroid structure and which is a half-integrated form of the matched pair of Lie algebroids which J.-H. Lu associated to a Poisson action in her development of Drinfeld's classification of Poisson homogeneous spaces. We use to give a general reduction procedure for Poisson group actions, which applies in cases where a moment map in the usual sense does not exist. The same method may be applied to actions of symplectic groupoids and, most generally, to actions of Poisson groupoids.     

A Unified Algebraic Approach to Quantum Theory

Conventional approaches to quantum mechanics are essentially dualistic. This is reflected in the fact that their mathematical formulation is based on two distinct mathematical structures: the algebra of dynamical variables (observables) and the vector space of state vectors. In contrast, coherent interpretations of quantum mechanics highlight the fact that quantum phenomena must be considered as undivided wholes. Here, we discuss a purely algebraic formulation of quantum mechanics. This formulation does not require the specification of a space of state vectors; rather, the required vector spaces can be identified as substructures in the algebra of dynamical variables (suitably extended for bosonic systems). This formulation of quantum mechanics captures the undivided wholeness characteristic of quantum phenomena, and provides insight into their characteristic nonseparability and nonlocality. The interpretation of the algebraic formulation in terms of quantum process is discussed.     

纳米二氧化钛的量子尺寸效应及掺杂氧化锡对其光吸收的影响

采用溶胶 -凝胶法制备了量子尺寸的纳米氧化钛和锡掺杂的纳米氧化钛 ,经过不同温度的热处理得到不同尺寸的粉末样品 .通过X射线衍射 (XRD)和电子衍射 (ED)表征了不同样品的物相组成和粒径 (3～ 12nm) ,通过反射谱 (RS)深入研究了纳米氧化钛的量子尺寸效应及掺杂氧化锡对于纳米氧化钛光吸收性质的影响 .实验结果表明纳米氧化钛有明显的光吸收量子尺寸效应 ,掺杂氧化锡促进了二氧化钛的锐钛矿向金红石相的转变 ,降低了相变起始温度 .由于相变和尺寸变化两方面相反的作用 ,掺杂氧化锡对于二氧化钛光吸收边的位移影响不大     

A DMI Guide to Magnets Micro-World

Journal of Experimental and Theoretical Physics - Dzyaloshinskii–Moriya interaction, DMI in short, represents an antisymmetric type of magnetic interactions that favor orthogonal orientation...     

A Theory for Anisotropic Magnetoresistance in Materials with Two Vector Order Parameters

Anisotropic magnetoresistance(AMR) and related planar Hall resistance(PHR) are ubiquitous phenomena of magnetic materials. Although the universal angular dependences of AMR and PHR in magnetic polycrystalline materials with one order parameter are well known, no similar universal relation for other class of magnetic materials are known to date. Here a general theory of galvanomagnetic effects in magnetic materials is presented with two vector order parameters, such as magnetic single crystals wi...     

Pion-Exchange Effects in Elastic Backward Proton-Deuteron Scattering

 The elastic backward proton-deuteron scattering is analyzed within a covariant approach based on the deuteron vertex function obtained by the Bethe-Salpeter equation with realistic meson-exchange interaction. Contributions of the one-nucleon and one-pion exchange mechanisms to the cross section and polarization observables are investigated in explicit form. Results of numerical calculations for the cross section, tensor analyzing power and spin transfers are presented. The one-pion exchange contribution is essential for describing the spin-averaged cross section, while in polarization observables it is found to have a small effect. Received December 22, 1998; revised November 8, 1999; accepted November 10, 1999     

Particle Size Distribution by Combined Elastic Light Scattering and Turbidity Measurements. A Novel Method to Estimate the Required Normalization Factor

Turbidity (T) and Elastic Light Scattering (ELS) measurements can be combined to estimate the particle size distribution (PSD) of a polymer latex. To this effect a “normalization factor” must be employed to adequately scale both measurements. In a real application, such factor is a priori unknown, and it must be estimated for determining the PSD. In a previous publication, a method was proposed to simultaneously estimate the normalization factor and the PSD by solving an inverse nonlinear problem. In this work, a simpler technique is presented which estimates the normalization factor and the PSD by sequentially solving two inverse linear problems. To evaluate the proposed technique, a synthetic example based on a polystyrene latex sample with a bimodal PSD was solved. It is shown that, for slight noise measurements, the errors in the estimation of the normalization factor are quite small and have a low effect on the PSD recovery.     

Multidimensional Particle Size Distributions and Their Application to Nonspherical Particle Systems in Two Dimensions

Particle science and technology evolve toward ever increasing complexity with respect to the multidimensional particle properties of size, shape, surface, internal structure, and composition. In this study, the theoretical background is elaborated for multidimensional particle size distributions (PSDs) by transferring the concepts known from 1D size distributions to anisotropic particles comprising at least two different length dimensions, e.g., nanorods and platelets. After introducing 2D PSDs, the calculation of differently weighted probability density functions including their interconversion is presented. This is necessary in order to compare data resulting from different measurement techniques which probe different physical properties and thus provide differently weighted PSDs. In addition, it is shown how 1D distributions with reduced content of information can be deduced from 2D PSDs. As a proof‐of‐concept and for illustration purposes, this approach is applied to a 2D Gaussian size distribution. Furthermore, a generalized scheme is suggested which outlines the conversion of number, surface, and volume weighted densities within the 2D space. The application of these methods to the more general n‐dimensional case is straightforward.     

高压对纳米ZnO和ZnO/SnO2复合材料的结构和发光性能的影响

 利用溶胶-凝胶法制备出了纳米晶ZnO与含有3%摩尔分数SnO₂的ZnO/SnO₂复合材料,在六面顶压机上对制备出的两种样品进行了室温下、6GPa的高压处理。采用X射线衍射（XRD）、透射电子显微镜（TEM）和光致荧光谱（PL）等方法,对高压处理前后样品的结构和发光性质进行了表征。结果表明：高压处理后回收到的纳米晶ZnO和ZnO/SnO₂复合材料的平均粒径分别减小5.9%和26.3%;高压处理后ZnO和ZnO/SnO₂复合材料光致发光谱的发光带强度都有所降低,但ZnO/SnO₂复合材料发光带强度降低幅度比纯ZnO小,对产生这些现象的原因进行了讨论。     

Size Distribution of Magnetic Cores in Contrast Materials for MRI Diagnostics

In medical diagnostics by magnetic resonance imaging (MRI) one uses contrast materials to enhance preferred tissues. These materials generally contain cores of small magnetic particles of iron compounds. Their size distribution affects their tissue preference. We have used Mössbauer spectroscopy to determine the particle size distribution of six different contrast materials. The spectra of the materials at temperatures 4.6 K to 260 K were analyzed in terms of a particle distribution where the volume determines the super-paramagnetic relaxation rate and the Fe magnetic hyperfine field. The average particle size obtained agrees with determinations by other experimental techniques.     

A Unified Stability Property in Spin Glasses

Gibbs’ measures in the Sherrington-Kirkpatrick type models satisfy two asymptotic stability properties, the Aizenman-Contucci stochastic stability and the Ghirlanda-Guerra identities, which play a fundamental role in our current understanding of these models. In this paper we show that one can combine these two properties very naturally into one unified stability property.     

连续激光辐照下光学材料损伤阈值的光斑效应

实验发现，光学材料的激光损伤阈值对激光光斑大小有强烈的依赖关系。研究了连续激光和匀质材料相互作用的机制，针对小光斑情形的材料响应和大光斑情形的结构响应分别提出各自不同的物理模型来解释光斑效应。研究表明，材料响应中的光斑效应基于热传导引起的光斑区热弥散，边界条件不同，破坏阈值与光斑大小的依赖关系也不尽相同。     

Characterization of Elastic Modulus of Granular Materials in a New Designed Uniaxial Oedometric System

A simple uniaxial oedometric system is developed to test the elastic modulus of granular materials.The stressstrain relationship is first measured under conditions of uniaxial compression with additional lateral stress and strain,then the elastic modulus of the material is determined by the linear fitting method.It is found that the modulus is positively correlated to the grain size and negatively correlated to the container size.Arching and dragging are revealed to be the mechanism of such correlations by using the digital image correlation method and the pressure film technology based on the statistical method.     

弹性反冲探测分析技术在材料氦行为研究中的应用

弹性反冲探测分析技术（ERDA）对轻元素的测定具有灵敏度高、包含深度信息的优势,因此在材料氦行为研究中发挥着重要作用。镍基哈氏N合金被认为是未来熔盐堆的结构材料,氦脆是其服役性能下降的主要因素之一。利用掠入射模式的ERDA,解析了哈氏N合金样品中的氦原子浓度及其分布,但仅局限于0~175 nm深度范围内。结果表明:在800℃的退火条件下,距离样品辐照表面~33 nm深度区域内,出现了氦原子逃逸现象。更高温度的退火（1 050℃）可加剧氦原子的逃逸,但样品中仍有氦原子滞留。另外,采用透射式的ERDA,极大地扩大了对氦原子分析的深度范围,得到了纯镍薄膜在0~950 nm深度区域内的氦原子浓度分布。这表明将块体材料制备成薄膜样品,利用透射模式的ERDA,将可以得到氦原子在更大范围内的扩散、逃逸行为。Since the elastic recoil detection analysis (ERDA) technique has the advantages of high sensitivity and deep information in analyzing the light elements, it plays an important role in the study of helium behavior in materials. Helium embrittlement is one of the main reasons for the degradation of the Hastelloy N alloy, which has been considered as the promising candidate structural material for the further molten salt reactor. In this work, the profile of helium concentrationin sample of Hastelloy N alloy was analyzed by ERDA experiments applying grazing-incidence geometry. However, the result was limited within the depth range of 0~175 nm, and it shown that helium atoms escaped in the range from the irradiated surface of the sample to the depth of ~33 nm when annealing the sample at 800℃ The annealing at higher temperature (1 050℃) increased the escape of helium atoms, but a small fraction of helium atoms still trapped in the sample. In addition, the profile of helium concentration was obtained in the helium-irradiated pure nickel film in the depth range of 0~950 nm, using the ERDA experiments in transmission geometry. This indicates that the diffusion behavior of helium atoms in bulk samples can be completely obtained using the ERDA experiments in tranmission geometry if the bulk material can be prepared into a thin film sample.     

几个量子力学问题的统一解法

通过变换求得连带Laguerre方程的变通形式，它包括了量子力学中-维谐振子、三维谐振子和类氢离子所满足的径向薛定谔方程，因此可用统一的方法对这三个问题的能级和波函数求解。     

Finite Size Effects and Metastability in Zero-Range Condensation

We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent research interest and is well understood in the thermodynamic limit. The system shows large finite size effects, and we observe a switching between metastable fluid and condensed phases close to the critical point, in contrast to the continuous limiting behaviour of relevant observables. We describe the leading order finite size effects and establish a discontinuity near criticality in a rigorous scaling limit. We also characterise the metastable phases using a current matching argument and an extension of the fluid phase to supercritical densities. This constitutes an interesting example where the thermodynamic limit fails to capture essential parts of the dynamics, which are particularly relevant in applications with moderate system sizes such as traffic flow or granular clustering.     

Elastic response to temperature variations in granular media: A phenomenological analysis

The purpose of this work is to discuss a methodology for the interpretation of experimental data and its application, in the context of thermo-elasto-dynamics, to the investigation of the time dependence of variables, such as the resonance frequency of a consolidated granular sample, subjected to various protocols of varying temperature. An analytical equation is deduced, which fits extremely well the experimental curves and has the expected asymptotic behavior of the dependent variable. It also predicts the observed asymmetry in the response to the sign of the temperature variation.