Quantum Generalized Measurement and Deterministic Generation of Maximum Entangled Pure State

We propose the concept of the quantum generalized projector measurement （QGPM） for finite-dimensional quantum systems by studying the quantum generalized measurement. This research reveals a distinguished property of this quantum generalized measurement： no matter what the system state is prior to the measurement and what the result of the measurement occurs, the state of the system after the measurement can be collapsed into any specified pure state, i.e., the state of quantum system can be deterministically reduced to any specified pure state just by a single QGPM. Subsequently. QGPM can be used to deterministically generate the maximum entangled pure state for quantum systems. We give three concrete theoretic schemes of generating the maximum quantum entangled pure states for two 2-Jevel particles, three 2-level particles and two 3-Jevel particles, respectively.     

Solitary Excitations of Dipolar Bosons in Optical Lattice under Magnetic Fields

We obtain the multisolitary solutions of the extended Bose-Hubbard model which describes dipolar Bose- Einstein condensates in optical lattices under time-dependent magnetic fields, and indicate that the nonlinearity is due to both on-site short-range interactions and also （long-range） dipole-dipole interactions which can act between neighboring sites. The discrete breathers as nonlinear excitations are always oscillatory in time and can also be spatially localized, while the oscillatory frequencies are determined by an external field. We show that these excitations will be observable and discuss how the parameters can be tuned in future experiments.     

亚甲蓝与硫酸化茯苓多糖相互作用机理的研究

为从分子水平认识硫酸化多糖分子与小分子之间相互作用的机理,文章采用氯磺酸-吡啶法(Wolfrom法)对茯苓多糖进行结构修饰,制得硫酸化茯苓多糖(SP)。通过理论模型测得亚甲蓝(MB)与SP最大结合数N=54,结合常数K=1.563×106,考察了反应体系中MB/SP摩尔比、NaCl、乙醇、羟丙基-β-环糊精以及Triton X-100对相互作用的影响。探讨了MB与SP相互作用产生变色反应的机理,认为其是在MB 与SP大分子间发生静电相互作用的基础上,结合态MB分子之间的疏水相互作用所引起的。     

丙三醇浓溶液玻璃化转变与结构松弛参数DSC分析

In order to examine the effects of water contents and heating/cooling rates on the glass transition and the structure relaxation parameters of glycerol/water mixtures, five aqueous solutions (60%, 70%, 80%, 90% and 100%) were investigated using the differential scanning calorimetry. Four scanning rates (10, 15, 20, 25 K/min) were used to obtain the glass transition parameters. The fitting results of plasticization constants indicated that Gordon-Taylor relationship could not be used effectively without considering scanning rates and that point on calorimetric step was chosen as the glass transition temperature. The specific heat changes during glass transition processes were relative not only to water content but also to heating rates. With the increasing of water contents in glycerol aqueous solutions, the structure relaxation activation energies and dynamic fragilities were decreased. Since the thermodynamic fragilities were increased with the increasing of water content, so the dynamic fragility and thermodynamic fragility were changed inversely if the water contents were changed in glycerol/water mixtures.     

合成方法对MCM-22分子筛的结构、性质及催化性能的影响

在水热条件下分别以动态法和静态法合成了高纯度和高结晶度的MCM-22分子筛.采用N2吸附、XRD、TEM和FTIR等方法研究了制备方法对分子筛的结构及性质的影响.结果表明,动态法合成的MCM-22比静态法合成的分子筛的晶粒小,酸量低.在丙酮一步法合成甲基异丁基酮反应中,静态条件下合成的MCM-22为载体的催化剂的丙酮转化率较高,这是由于该分子筛的酸量较高所致.而MIBK的选择性则呈相反趋势,这可能与动态条件下合成的分子筛粒径小、孔道短有关.     

加权均值T-统计量推广

本文将[1]提出的一维异方差正态总体均值的加权T-统计量估计推广到多维异方差正态总体均值的估计,并应用于其假设检验。     

HIRFL-CSRm内靶实验终端CsI(Tl)电磁量能器性能模拟

基于GEANT4模拟了HIRFL CSRm内靶实验终端的CsI(Tl)电磁量能器系统,给出了CsI电磁量能器的最佳设计参数及可能达到的性能.结果表明,设计的CsI(Tl)电磁量能器系统能够满足所研究的物理要求. Based on the GEANT4, the performance of the electromagnetic calorimeter (EMC) of the internal-target detector at HIRFL-CSRm is simulated. The simulation results show that 1.5%—3% of the energy resolution σ_E/E and 2° of the polar angular resolution σ_θ can be obtained. The invariant mass of the π~0 decay can be reconstructed well. The performance can meet the requirement of studying the proposed physics at HIRFL-CSRm.     

A new type of Lie symmetrical non-Noether conserved quantity for nonholonomic systems

For a nonholonomic system, a new type of Lie symmetrical non-Noether conserved quantity is given under general infinitesimal transformations of groups in which time is variable. On the basis of the invariance theory of differential equations of motion under infinitesimal transformations for t and q_s, we construct the Lie symmetrical determining equations, the constrained restriction equations and the additional restriction equations of the system. And a new type of Lie symmetrical non-Noether conserved quantity is directly obtained from the Lie symmetry of the system, which only depends on the variables t, q_s and \dot{q}_s. A series of deductions are inferred for a holonomic nonconservative system, Lagrangian system and other dynamical systems in the case of vanishing of time variation. An example is given to illustrate the application of the results.     

稀水溶液中聚乙烯吡咯烷酮构象行为的荧光研究

以苊烯(ACE)为荧光标记物,8-苯胺基-萘磺酸(ANS)为荧光探针,利用荧光各向异性、荧光猝灭以及非辐射能量转移等静态荧光技术研究了聚乙烯吡咯烷酮(PVP)在稀水溶液中的构象行为.结果表明,PVP在稀水溶液中呈松散自由线团构象,这种构象不随溶液pH的变化而显著变化.不同于其它水溶性高分子,PVP有很强的氢键形成能力,易与具有活泼氢的其它高分子或小分子相结合,并易被金属氧化物类吸附剂吸附.因此PVP可被用来修饰某些具有疏水结构的水溶性高分子.PVP水溶液在pH=7以上相当稳定,放置1周性质没有显著变化.     

α-和β-四烷氧取代酞菁的合成及性能研究

利用3-烷氧取代邻苯二腈和4-烷氧取代邻苯二腈与相应的金属盐反应制备了两大系列(α-和β-)四烷氧取代酞菁.讨论了温度对中间体烷氧取代邻苯二腈合成的影响,探讨了酞菁的两种环合方法,并对β-烷氧酞菁的环合历程进行了初步的考察.研究了不同取代位置和酞菁的最大吸收波长之间的关系,结果表明, α-取代烷氧取代酞菁导致λmax红移值较大,而相应β位取代情况下红移值较小,说明给电子基团在α位对酞菁骨架的π共轭结构微扰作用比β位大.同时研究了溶解度及热失重与酞菁结构的关系.