ω‐saturated quasi‐minimal models of Th(ℚω, +, σ, 0)

We show that (ℚ^ω, +, σ, 0) is a quasi-minimal torsion-free divisible abelian group. After discussing the axiomatization of the theory of this structure, we present its ω-saturated quasi-minimal model. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

广义拟牛顿算法对一般目标函数的收敛性

本文证明了求解无约束最优化的广义拟牛顿算法在Goldstein非精确线搜索下对一般目标函数的全局收敛性，并在一定条件下证明了算法的局部超线性收敛性。     

Compactness in

This paper is concerned with compactness for some topologies on the collection of bounded linear operators on Banach spaces. New versions of the Eberlein–Šmulian theorem and Day's lemma in the collection are established. Also we obtain a partial solution of the dual problem for the quasi approximation property, that is, it is shown that for a Banach space X if X^** is separable and X^* has the quasi approximation property, then X has the quasi approximation property.     

周期极化KTP晶体光参量振荡特性研究

基于较新的Sellmeier方程,研究了周期极化钛氧磷酸钾(KTiOPO₄简称KTP)晶体光参量振荡的容差特性,给出了极化反转光栅周期、晶体温度及泵浦光波长的调谐曲线和带宽的容差特性曲线,并与PPLN晶体作了比较数值计算结果与已有实验数据吻合较好.     

无穷级拟亚纯映射的充满圆及Borel方向

对于平面上的K-拟亚纯映射，文献^[1]里证明了有限正级K-拟亚纯映射必定存在充满圆序列及Borel方向；本文进一步证明了对于平面上无穷级K-拟亚纯映射也存在充满圆序列及Borel方向．     

Inverse freezing in α-cyclodextrin solutions probed by quasi elastic neutron scattering

Solutions of α-cyclodextrin, 4-methylpyridine and water undergo a reversible liquid–solid phase transition on heating (“inverse freezing”). In this paper quasi elastic neutron scattering (QENS) measurements are reported, from which the diffusive dynamics of different components in the liquid and solid phases is determined. Results imply that, in solution, α-cyclodextrin is contained in a solvation shell of 4-methylpyridine molecules, while in the crystal phase, the majority of the cell contents are immobilized on the nanosecond timescale. This information will be important in evaluating the entropy of the system in its different phases and in understanding the unusual phase transition.     

Second-harmonic scattering by domains in RbH2PO4 ferroelectrics

Second-harmonic scattering (SHS) of light by laminar ferroelectric domains of the orthorhombic phase of RbH₂PO₄ below T_c=147 K is studied in detail. CCD images of the far-field SHS pattern reveal up to six off-axis distinct intensity maxima in a plane normal to the ferroelectric axis c. These scattering maxima are interpreted on the basis of the quasi-phase matching (QPM) conditions for the three sets of polarizations allowed by the nonvanishing elements of the second-order nonlinear susceptibility tensor. On this assumption scattering angles of the three SHS modes calculated from crystal optics are shown to fit well the experimental data for any incidence of the pump beam normal to c. Scattering intensities of the two most intense modes are also measured versus the component of the wave vector perpendicular to the modulated structure. A stochastic model giving the intensity as a function of the density probability of domain widths is developed and is shown to give a good fit of the scattered intensity. Moreover, it permits the evaluation of the mean and dispersion of the ferroelectric domain widths, which are found to be, respectively, 2.6 and 0.7 μm in the crystal under study. This is consistent with the domain size of the ferroelastic counterpart revealed by polarization microscopy.     

On noncompact quasi Yamabe gradient solitons

We study τ-quasi Yamabe gradient solitons on complete noncompact Riemannian manifolds. We prove several scalar curvature estimates under some conditions and get a non-local collapsing result based on the gradient estimate of the potential function. We also derive a decay theorem and a finite topological type result.     

Optogalvanic Properties of the Ion Guide Source in the Recoil Nucleus Selective Photoionization

This consideration is a conjunction of two processes: generation of recoil products and selective detection. A new type of plasma is carried out. The electron energy function distribution of the ion-guide source plasma is calculated and discussed. The properties of a laser ionization scheme detecting recoil atoms are analyzed using an optogalvanic approach.

The Resonant Laser Ionization (RLI) in low temperature currentless plasma, formed by accelerated particle beam propagating through gas, will be used for the above mentioned separation. A tuned dye laser excites the studied atoms and the fast electrons ionize them. This process exceeds in cross-section the ionization from ground state which provides selectivity of IGS. The latter produces ions of almost all chemical elements. It can be used for investigating processes flowing in low temperature currentless plasma which presents a specific interest. These functions impart to the IGS the role of an Optogalvanic (OG) element, to be precise, of hollow cathode discharge used as an OG detector [1].

In this paper the IGS is analyzed as an OG detector in a quasi OG scheme. The investigation is a step simulating the IGS properties. The Electron Energy Distribution Function (EEDF) and the most important processes are analyzed and discussed as a first step in this field. The results obtained contribute to the efficiency of the RLI method.