光场与Ⅴ型三能级原子依赖强度耦合系统场熵的演化特性

研究了光场与v型三能级原子依赖强度耦合系统场熵的演化特性,讨论了单光子跃迁失谐量和初始光子数对场熵演化的影响.研究结果表明,当失谐量比较小且初始光场较弱时,场熵的时间演化行为与单光子JaynesCummings模型相似;当失谐量足够大或初始光场足够强时,场熵的时间演化表现出类似于双光子Jaynes-Cummings 模型中场熵演化的周期性.     

多小波子空间上的单小波表示

本文在较弱的条件下,建立了2重多小波子空间与单小波子空间的关系.即由2重多小波构造出单小波.一方面,这种单小波的平移伸缩与2重多小波的平移伸缩生成的子空间是完全相同的;另一方面,它具有插值性.因此通过构造出的单小波建立了多小波子空间上的Shannon型采样定理.     

两相同部件温贮备可修的人机系统解的性质分析

本文首先用强连续算子半群理论证明了两相同部件温贮备可修的人机系统动态非负解的存在唯一性 ,然后证明了 0是系统主算子的本征值 ,并得到 0本征值对应的本征向量是正的 ,从而系统存在稳态正解 .     

Additive Maps Preserving Nilpotent Operators or Spectral Radius

Let X be a （real or complex） Banach space with dimension greater than 2 and let B0（X） be the subspace of B（X） spanned by all nilpotent operators on X. We get a complete classification of surjective additive maps Ф on B0（X） which preserve nilpotent operators in both directions. In particular, if X is infinite-dimensional, we prove that Ф has the form either Ф（T） = cATA^-1 or Ф（T） = cAT＇A^-1, where A is an invertible bounded linear or conjugate linear operator, c is a scalar, T＇ denotes the adjoint of T. As an application of these results, we show that every additive surjective map on B（X） preserving spectral radius has a similar form to the above with ｜c｜ = 1.     

Boundedness of Multilinear Operators on Herz Type Spaces： Extreme Cases

In this paper, two classes of closely related multilinear singular and fractional integrals,which include the commutators as special cases, are studied and their boundedness on Herz type spaces is discussed. In fact, it is proved that these operators are actually not bounded in certain extreme cases.     

Multi-Partite EPR Entangled State Representation for Continuous Variables and Its Application in Squeezing Theory

By extending the Einstein-Podolsky-Rosen (EPR) bipartite entanglement to an n-partite case, we construct the common eigenstate of the n-partite total coordinate and relative momenta for the continuous variables. The entanglement property of the state is shown. The classical dilation transform of variables in such a state induces a new n-mode squeezing operator related to an n-mode bosonic operator realization of SU(1,1) Lie algebra.     

Bounds for the Least Laplacian Eigenvalue of a Signed Graph

A signed graph is a graph with a sign attached to each edge. This paper extends some fundamental concepts of the Laplacian matrices from graphs to signed graphs. In particular, the relationships between the least Laplacian eigenvalue and the unbalancedness of a signed graph are investigated.     

多官能团分枝状化合物的合成研究 Ⅳ.三方向醚-酰胺键型分枝状大分子的合成

本文报道三方向醚-酰胺键型多官能团分枝状大分子(Cascade)的合成.目标化合物以甘油、硝基甲烷为三方向起始核心,以从季碳原子三倍对称分散的化合物1～3为分支侧链.通过醚键进行空间延伸,以酰胺键进行分枝连接,经过一代或两代,所合成的分枝状大分子的末端官能团数是原起始核心的三倍或九倍.本文可为进一步的分枝反应提供基本的设计合成方法.     

守恒方程的差分型格子气方法

给出了守恒型模型方程的差分型格子气方法，通过定义广义的分布函数，将原方程的求解问题化成关于分布函数的差分算法。该方法的意义在于建立格子气方法和差分法之间的联系，是而可以构造真正用于空气动力的格子气模型，使格子敢方法在可压缩领域成为一种实用方法。     

SiC多型体X射线定量分析的Rietveld方法

鉴于ＳｉＣ多型体的主要衍射线完全重叠，用常规Ｘ射线粉末衍射方法确定ＳｉＣ陶瓷材料中多型体含量的分布是非常困难的，提出以Ｘ射线粉末衍射全谱拟合的Ｒｉｅｔｖｌｄ方法进行ＳｉＣ多型体定量分析，阐述了原理及方法，对含３Ｃ，４Ｈ，６Ｈ和１５Ｒ４种多型体衍射数据的定量分析结果表明，Ｒｉｅｔｖｅｌｄ方法可对ＳｉＣ材料中常见多型体的定量分析给出准确的结果，还给出了各自的标准偏差，并估计了该方法对各多型体能给出精确