马氏环境中马氏链的Shannon-McMillan-Breiman定理

本文给出了随机环境中的可数状态马氏链的Ｓｈａｎｎｏｎ－ＭｃＭｉｌｌａｎ－Ｂｒｅｉｍａｎ定理,这自然是熟知的有限状态时齐马氏链相应结果的拓广。     

楔型向错偶极子和裂纹的干涉效应

研究了晶体材料中一个楔型向错偶极子与裂纹的弹性干涉效应．运用复变函数方法获得了复势函数和应力场的封闭形式解答,导出了裂纹尖端应力强度因子和作用在向错偶极子中心点像力的解析表达式．获得了向错偶极子的位置、方向和偶臂长度对裂纹尖端应力强度因子的影响规律,并讨论了裂纹附近向错偶极子的平衡位置．结果表明向错偶极子靠近裂纹尖端时,对应力强度因子有明显的屏蔽或反屏蔽作用．     

Non-Noether Conserved Quantity of Poincaré-Chetaev Equations of a Generalized Classical Mechanics

In the present paper the Lie symmetrical non-Noether conserved quantity of the Poincaré-Chetaev equations of a generalized classical mechanics under the general infinitesimal transformations of Lie groups is discussed. First, we establish the determining equations of Lie symmetry of the equations. Second, the Lie symmetrical non-Noether conserved quantity of the equations is deduced. Finally, an example is given to illustrate the application of the results.     

Probabilistic Teleportation of an Arbitrary Two-Particle State and Its Quantum Circuits

Two simple schemes for probabilistic teleportation of an arbitrary unknown two-particle state using a non-maximally entangled EPR pair and a non-maximally entangled GHZ state as quantum channels are proposed. After receiving Alice's Bell state measurement results, Bob performs a collective unitary transformation on his inherent particles without introducing the auxiliary qubit. The original state can be probabilistically teleported. Meanwhile, quantum circuits for realization of successful teleportation are also presented.     

Noether-Mei Symmetry of Mechanical System in Phase Space

In this paper, a new kind of symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i.e., a Noether-Mei symmetry, is presented, and the criterion of this symmetry is also given. The Noether conserved quantity and the Mei conserved quantity deduced from the Noether-Mei symmetry of the system are obtained. Finally, two examples are given to illustrate the application of the results.     

Teleportation of N-Particle Entangled GHZ State via Entanglement Swapping

In this scheme, N non-maximally entangled particle pairs are used as quantum channel to teleport an unknown N-particle entangled GHZ state via entanglement swapping. In order to realize this teleportation, the sender Alice operates Bell-state measurement on particles belonging to herself. Then she informs the results to the receiver Bob through classical communication. According to the results, Bob operates corresponding transformation to reconstruct the initial state. The advantage of this scheme is that it needs only one common unitary matrix for Alice＇s different results, which has a more general meaning. As a special case, teleporting an unknown three-particle entangled GHZ state is proposed.     

基于表格法的RM展开系数与或-符合展开系数的转换

讨论了逻辑函数的RM展开系数与或-符合展开系数之间的关系式,分析了bj图→dj图转换的图形方法．在此基础上提出了逻辑函数的RM展开系数→或-符合展开系数以及或-符合展开系数→RM展开系数转换的表格方法．与图形方法相比,表格法具有不需要画图,不受变量数限制以及易于计算机编程操作等优点．     

电铸自支撑金刚石-镍复合膜的制备

用电铸方法,采用低应力电镀液,制备出了自支撑金刚石-镍复合膜.电镀液PH值3.8-4.2,温度40～60℃,阳极与阴极间距100～150mm.用扫描电镜(SEM)和X射线衍射(XRD)方法检测了复合膜的表面形貌、晶体显微结构和复合膜中金刚石颗粒的分布情况.结果表明:阴极电流密度对自支撑金刚石-镍复合膜的品质影响很大,当阴极电流密度从1.3 A/dm2增加到3.3 A/dm2时,复合膜的显微应变从0.36;减小到0.28;;随着阴极电流密度的增加,复合膜中金刚石颗粒的含量增加.     

丙氨酸离子液体[C4mim][Ala]的热化学性质

在298.15 K下利用恒温环境溶解热量计测定了一系列含有已知微量水的1-丁基-3-甲基咪唑丙氨酸盐([C₄mim][Ala])离子液体(IL)不同浓度样品的摩尔溶解焓. 借助Debye-Hückel极限项, 用外推法确定了不同含水量的[C₄mim][Ala]样品的标准摩尔溶解焓[Δ_sH_m⁰(wc)]. 随着样品中水含量的增加, Δ_sH_m⁰(wc)的绝对值下降, 将Δ_sH_m⁰(wc)对含水量作图得到很好的直线, 其截距Δ_sH_m⁰(pure IL)=-60.74 kJ/mol, 可看作是不含水的[C₄mim][Ala]标准摩尔溶解焓的估算值. 利用精密氧弹热量计测定了[C₄mim][Ala]的燃烧热, 计算得到其标准摩尔生成焓Δ_fH_m⁰=(-675±11) kJ/mol.     

鱼藤中抗肿瘤活性化合物的追踪分离及与DNA的相互作用

采用活性追踪分离的方法, 从鱼藤中分离鉴定出了2个抗肿瘤活性化合物, 即羟基鱼藤素(1)和鱼藤酮(2). 用丽丝胺罗丹明B(SRB)法评价其抗肿瘤活性, 用紫外光谱和荧光光谱等方法探讨了化合物与DNA的相互作用. 结果发现, 羟基鱼藤素(1)与鱼藤酮(2)为鱼藤的抗肿瘤活性成分, 对人大肠癌细胞HCT8、人肝癌细胞BEL7402、人胃癌细胞BGC823、人肺癌细胞A549和人卵巢癌细胞A2780的半数抑制浓度(IC₅₀) 在0.1~90.0 μmol/L之间. 这两种化合物的紫外吸收强度随着HS-DNA的加入均呈现减色效应, 并使EB-HS-DNA复合体系荧光强度减弱, 表明化合物的抗肿瘤活性与DNA以插入方式作用有关.