弱CS模的遗传性

P.F.Sm ith曾提出一个公开问题:弱CS模的直和项是否为弱CS模?论文通过一个反例证明了弱CS模的直和项不一定是弱CS模.但满足条件C3的弱CS模对其直和项具有遗传性.最后讨论了弱CS模对一般子模的遗传性.     

新型高色纯度弱电流猝灭性蓝色有机发光器件

以ADN为基质,分别以不同掺杂剂制备了四种蓝色有机发光器件,器件结构为:CuPc(12 nm)/NPB(40 nm)/AND∶Dopant(50 nm)/Alq(12 nm)/LiF(4 nm)/Al。掺杂剂有:BCzVB(amino-substituted distyrylarylenederivatives)、TBPe、BCzVBi和DSA-ph四种。研究了最佳掺杂浓度以及器件的亮度、电流密度、效率和色坐标等电学特性和光学特性。其中掺杂BCzVB制备了色纯度高、低电流猝灭性的蓝色有机发光器件,色坐标达到x=0.146,y=0.162,最大亮度为11600 cd/m2(15 V),电流效率为2.8 cd/A,流明效率为1.79 lm/W;以ADN为基质,分别以TBPe、BCzVBi和DSA-ph为掺杂剂,制备了另外三种对比器件。器件ADN∶TBPe色坐标为x=0.162,y=0.222(蓝绿光),效率随电流的增加而降低很快;器件ADN∶BczVBi有较好的色纯度(色坐标:x=0.164,y=0.146),但电流效率较低:2.03 cd/A,效率随电流的增加降低幅度也较快。器件ADN∶DSA-ph效率较高为8 cd/A,效率随电流增加变化幅度不大,但色纯度比较差(x=0.153,y=0.306),适合于做白色有机发光器件。     

Entropic uncertainty relation of a qubit-qutrit Heisenberg spin model and its steering

We investigate the quantum-memory-assisted entropic uncertainty relation (QMA-EUR) in a Heisenberg XYZ mixed-spin (1/2, 1) model. Coupling strength, Dzyaloshinskii-Moriya (DM) interaction and inhomogeneous magnetic field, respectively, contributing to QMA-EUR by a thermal entanglement in the hybrid-spin model are studied in detail. Furthermore, we compare the uncertainty of the bipartite hybrid model with those of qubit-qubit and qutrit-qutrit systems. Meanwhile, the effects of local PT-symmetric operation and weak measurement on the steering of entropic uncertainty are analyzed. We find that the local PT-symmetric operation can reduce the entropic uncertainty, and the entropic uncertainty can also be decreased by weak measurement reversal.     

From Quantum Probabilities to Quantum Amplitudes

The task of reconstructing the system’s state from the measurements results, known as the Pauli problem, usually requires repetition of two successive steps. Preparation in an initial state to be determined is followed by an accurate measurement of one of the several chosen operators in order to provide the necessary “Pauli data”. We consider a similar yet more general problem of recovering Feynman’s transition (path) amplitudes from the results of at least three consecutive measurements. The three-step histories of a pre- and post-selected quantum system are subjected to a type of interference not available to their two-step counterparts. We show that this interference can be exploited, and if the intermediate measurement is “fuzzy”, the path amplitudes can be successfully recovered. The simplest case of a two-level system is analysed in detail. The “weak measurement” limit and the usefulness of the path amplitudes are also discussed.     

Existence of Three Weak Solutions for a Class of Quasi-Linear Elliptic Operators with a Mixed Boundary Value Problem Containing $p(\cdot )$-Laplacian in a Variable Exponent Sobolev Space

In this paper, we consider a mixed boundary value problem to a class of nonlinear operators containing $p(\cdot )$-Laplacian. More precisely, we are concerned with the problem with the Dirichlet condition on a part of the boundary and the Steklov boundary condition on an another part of the boundary. We show the existence of at least three weak solutions under some hypotheses on given functions and the values of parameters.     

On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional Analysis

We consider the inverse problem of identifying a general source term, which is a function of both time variable and the spatial variable, in a parabolic PDE from the knowledge of boundary measurements of the solution on some portion of the lateral boundary. We transform this inverse problem into a problem of solving a compact linear operator equation. For the regularization of the operator equation with noisy data, we employ the standard Tikhonov regularization, and its finite dimensional realization is done using a discretization procedure involving the space $L^2(0,\tau;L^2(Ω))$. For illustrating the specification of an a priori source condition, we have explicitly obtained the range space of the adjoint of the operator involved in the operator equation.     

Synthesis and Crystal Structure of Complex [Pb(qina)2(DMSO)]·H2O

A novel complex [Pb(qina)2(DMSO)]·H2O was synthesized, of which qina- is the quinaldic acid radical and DMSO the dimethyl sulfoxide. Elemental analysis, IR spectra, and X-ray single-crystal diffraction were carried out to determine the composition and crystal structure. This complex belongs to monoclinic system, space group P121/n1, with a = 7.1553(17), b = 17.543(2), c = 17.306(2)(A),β = 91.671(4)°, C22H20N2O6PbS, Mr = 647.65, Z = 4, V= 2171.5(6)(A)3, Dc= 1.981g/cm3,μ = 7.908 mm-1, F(000) = 1248, -9≤h≤6, -23≤k≤ 19, -22≤l≤22, R= 0.0221 and wR =0.0488. Weak coordinate bond is formed between oxygen atom in DMSO and Pb(Ⅱ ). There are also weak interactions, such as π-π interaction, hydrogen bonds and so on, among the complex molecules.     

Synthesis, Crystal Structure and Bioactivities of 1-（4-Chlorophenyl）-3- [ 5-（pyrid-4-yl）- 1,3,4-thiadiazol-2-yl] urea

The title compound 1-(4-chlorophenyl)-3-[5-(pyrid-4-yl)-1,3,4-thiadiazol-2-yl]urea (C14H10ClN5OS, Mr = 331.79) has been synthesized by the reaction of 2-amino-5-(pyrid-4-yl)- 1,3,4-thiadiazole with 4-chlorobenzoyl azide, and its crystal structure was determined by single-crystal X-ray diffraction. The crystal belongs to triclinic system, space group P with a = 5.8550(8), b = 7.5668(10), c = 16.416(2) , α = 78.364(2), β = 81.204(2), γ = 84.749(2)°, V = 702.58(16) 3, Z = 2, Dc = 1.568 g/cm3, μ = 0.429 mm-1, F(000) = 340, the final R = 0.0442 and wR = 0.1092 for 2001 observed reflections (I > 2σ(I)). X-ray diffraction analysis reveals that the title molecule is nearly planar. In the crystal structure, the molecules are linked by strong intermolecular N-H…N hydrogen bonds together with weak nonclassical intermolecular (C-H…Y, Y = N, O and Cl) hydrogen bonds and stacked through π-π interactions. The preliminary bioassay shows that the title compound exhibits good fungicidal activities against Rhizoctonia solani, Botrytis cinerea and Dothiorella gregaria.     

Weak Interactions and 2D Layer Structure of a New Ion-pair Complex Bis(1-benzyl-4-methylquinolinium)-bis(maleonitriledithiolato)nickel(Ⅱ)

A new ion-pair complex,[BzMeQl]2[Ni(mnt)2] 1 ([BzMeQl]+=1-benzyl-4-methylquino-linium,mnt2-= maleonitriledithiolate) has been synthesized and structurally characterized by IR,ESI-MS and X-ray diffraction methods. Complex 1 is of triclinic,space group P1,with a=9.079(2),b=10.154(2),c=11.243(2),α=81.58(1),β=69.63(1),γ=68.02(1)°,V=940.1(3)3,Dc=1.427 g/cm3,Z=1,F(000)=418 and R=0.0442. A 2D layer structure is formed via the cation-cation π…π and C–H…π interactions observed in the solid state of the complex.     

亲水单分散聚合物基质阳离子色谱柱的制备及其应用

以自制5.0 μm单分散大孔亲水交联聚甲基丙烯酸环氧丙酯微球为基质,合成一种新型弱酸性阳离子色谱填料.选用甲烷磺酸作淋洗液,在流速为1.0 mL/min时,对6种无机阳离子(Li+, Na+, NH+4, K+, Mg2+, Ca2+)和有机胺进行了良好分离.考察了淋洗液种类、浓度以及流速对6种无机阳离子分离的影响,选择了合适的色谱分离条件.测得6种离子在一定浓度范围内具有良好的线性关系和低的检出限.将其用于决明茶中阳离子的分析,4种离子在20 min内完全分离,各离子标准加入回收率在96%～107%之间.此色谱柱的分离效果与Dionex IonPacCS12A商品柱接近,但分析时间缩短了44 min.