Positive ground state solutions for Schrödinger–Poisson system with critical nonlocal term in ℝ3

This paper is dedicated to studying the following Schrödinger–Poisson system $$\left\{\begin{array}{ll}-\mathrm{\Delta }u+V(x)u-K(x)\varphi |u{|}^{3}u=a(x)f(u),& x\in {ℝ}^3,\\ -\mathrm{\Delta }\varphi =K(x)|u{|}^5,& x\in {ℝ}^3.\end{array}\right.$$ Under some different assumptions on functions V(x), K(x), a(x) and f(u), by using the variational approach, we establish the existence of positive ground state solutions.     

The one-dimensional Hubbard model for large or infiniteU

The magnetic properties of the one-dimensional Hubbard model with a hardcore interaction on a ring (periodic boundary conditions) are investigated. At finite temperatures it is shown to behave up to exponentially small corrections as a pure paramagnet. An explicit expression for the ground-state degeneracies is derived. The eigenstates of this model are used to perform a perlurbational treatment for large but finite interactions. In first order inU ¹ an effective Hamiltonian for the one-dimensional Hubbard model is derived. It is the Hamiltonian of the one-dimensional Hcisenberg model with antiferromagnetic couplings between nearest neighbor spins. An asymptotic expansion for the ground-state energy is given. The results are valid for arbitrary densities of electrons.     

织机监测系统与监测器通信的设计与实现

根据织机监测系统的体系结构,介绍了该系统与监测器的通信协议帧、通信流程的设计,在VisualC .NET环境下实现了相互之间的通信,结合实际应用分析了该方案的效果。     

地下室混凝土墙板裂缝的产生与防治

文章阐述了地下室工程裂缝的产生原因及特征，从设计、施工等方面提出了预防及其控制措施，并通过工程实例予以说明．     

接地电阻对放电击中点的影响

采用对比性试验,研究了接地电阻对火花放电击中点的影响.试验结果和观测均表明,接地电阻能抑制从接地端产生的迎面放电的发展速度和通道强度,从而使其被击中概率下降,负极性比正极性下接地电阻对火花放电击中点的影响要显著得多.     

织造过程中经纱张力计算机控制系统的研究

为了提高织机生产效率和扩大织造品种范围，提出了织造过程中经纱张力控制的目标和相适应的控制方案，研制了经纱张力计算机控制系统，达到了预期的性能指标。     

四阶累积量的MUSIC算法在海流测向中的应用

针对高频地波雷达系统OSMAR2000海流测向中海流元数不易估计的问题，利用四阶谱累积量MUSIC算法的空间谱结构特点，采用试探法确定信号源数并估计信号源的位置．通过对模拟海流和实测数据的处理实验表明，利用该算法可以较准确地估计出海流元的个数和方位，并且比传统MUSIC方法获得更小的角度估计方差，有效地反演了海洋表面流信息．     

关于锂原子基态能量的双参数变分计算

采用了双参数变分方法，计算了锂原子的基态能量，其结果较用单参数变分方法在精度上有所提高。     

长春市园林木本地被植物的应用与发展

通过对长春市园林木本地被植物应用的调查研究表明，目前长春市园林绿化常见木本地被植物共有21种：其中，木质藤本地被植物有4种，隶属2科，3属；矮灌木地被植物有10种，隶属5科7属；整形木本地被植物有7种，隶属4科6属。本文介绍了木本地被植物的园林应用及生态型，并提出发展长春市园林地被植物的建议。     

Superdegenerate point in FCC phase diagram: CVM and Monte Carlo investigations

We investigate the topology of the phase diagram of binary alloys on the fee lattice with first-neighbor antiferromagnetic interactions around the superdegenerate point, where the L1₀ and L1₂ phases meet. We treat the system as a hard-constraint lattice gas, following a procedure previously described by Lebowitzet al. We perform cluster variation method calculations in theT0 limit and Monte Carlo simulations directly atT=0 K on the ground states of the superdegenerate point. We find that: (i) there is no disordered phase in the neighborhood of this point; (ii) a phase L for which two of the four cubic sublattices have the same average occupancy and each of the two others are different appears between L1₀ and L1₂; (iii) the transition L/L1₂ is of first order.