Exact Time-Dependent Wave Functions of a Confined Time-Dependent Harmonic Oscillator with Two Moving Boundaries

By applying the standard analytical techniques of solving partial differential equations, we have obtained the exact solution in terms of the Fourier sine series to the time-dependent Schrodinger equation describing a quantum one-dimensional harmonic oscillator of time-dependent frequency confined in an infinite square well with the two walls moving along some parametric trajectories. Based upon the orthonormal basis of quasi-stationary wave functions, the exact propagator of the system has also been analytically derived. Special eases like （i） a confined free particle, （ii） a confined time-independent harmonic oscillator, and （iii） an aging oscillator are examined, and the corresponding time- dependent wave functions are explicitly determined. Besides, the approach has been extended to solve the case of a confined generalized time-dependent harmonic oscillator for some parametric moving boundaries as well.     

Nonlinear Waves in Two-Dimensional （2D） Square Lattice Frenkel-Kontorova （FK） System

A 2D square lattice is studied. By using the continuum approximation, we set up the differential equations of motion for an arbitrary particle in the square lattice which subjects to an external periodic substrate potential. The exact solitary waves of the system are found for special cases. We conclude that the adhesive force f and the angle between propagation directions of upper and lower layers can affect these waves.     

System size and centrality dependence of charged hadron transverse momentum spectra in Au + Au and Cu + Cu collisions at square root of SNN = 62.4 and 200 GeV

We present transverse momentum distributions of charged hadrons produced in Cu + Cu collisions at square root of SNN = 62.4 and 200 GeV. The spectra are measured for transverse momenta of 0.25 < pT < 5.0 GeV/c at square root of SNN = 62.4 GeV and 0.25 < pT < 7.0 GeV/c at square root of SNN = 200 GeV, in a pseudorapidity range of 0.2 < eta < 1.4. The nuclear modification factor R(AA) is calculated relative to p + p data at both collision energies as a function of collision centrality. At a given collision energy and fractional cross section, R(AA) is observed to be systematically larger in Cu + Cu collisions compared to Au + Au. However, for the same number of participating nucleons, R(AA) is essentially the same in both systems over the measured range of pT, in spite of the significantly different geometries of the Cu + Cu and Au + Au systems.     

Swelling-collapse transition of self-attracting walks

We study the structural properties of self-attracting walks in d dimensions using scaling arguments and Monte Carlo simulations. We find evidence of a transition analogous to the Theta transition of polymers. Above a critical attractive interaction u(c), the walk collapses and the exponents nu and k, characterizing the scaling with time t of the mean square end-to-end distance approximately t(2nu) and the average number of visited sites approximately t(k), are universal and given by nu=1/(d+1) and k=d/(d+1). Below u(c), the walk swells and the exponents are as with no interaction, i.e., nu=1/2 for all d, k=1/2 for d=1 and k=1 for d>/=2. At u(c), the exponents are found to be in a different universality class.     

Measurement of the tt production cross section in pp collisions at square root of s = 1.96 TeV

We present a measurement of the top quark pair production cross section in pp collisions at square root of s = 1.96 TeV using 318 pb(-1) of data collected with the Collider Detector at Fermilab. We select tt[over ] decays into the final states enu+jets and mu nu+ jets, in which at least one b quark from the t-quark decays is identified using a secondary vertex-finding algorithm. Assuming a top quark mass of 178 GeV/c2, we measure a cross section of 8.7 +/- 0.9(stat)(-0.9)+1.1(syst) pb. We also report the first observation of tt[over ] with significance greater than 5sigma in the subsample in which both b quarks are identified, corresponding to a cross section of 10.1(-1.4)+1.6(stat)(-1.3)+2.0(syst) pb.     

LiNdP4O12的晶体结构

对于盐熔法合成的LiNdP₄O₁₂单晶进行了X射线衍射分析,该晶体属于单斜晶系,空间群为C2/c,z=4,晶胞参数为:α=16.486?,b=7.073?,c=9.775?,β=126.23°,全矩阵最小二乘法修正给出1251个独立反射的R=0.054,R_ω=0.050,经吸收和次级消光校正后,R=0.048,R_ω=0.043,基本的结构单位是(PO₃)_n的螺旋带,它们由共角 关键词：     

LiErP4O12的晶体结构

对于盐熔法合成的LiErP₄O₁₂单晶进行了X射线衍射分析。该晶体属于单斜晶系,空间群为C2/c,z=4,晶胞参数为:a=16.229?,b=7.009?,c=9.524?,β=125.92°。包括把二次消光作为晶体结构参数的全矩阵最小二乘法修正给出1282个独立反射的R=0.058。基本的结构单位为(PO₃)_n的螺旋带,它们由共角的四面体构成。十二面体ErO₈不共有任何O原子,从这意义来说是相互分立的。 关键词：     

BiVO4的晶体结构和光学观察

对于提拉法合成的BiVO₄单晶进行了X射线衍射分析。室温下该晶体属于单斜晶系,空间群为B2/b,z=4,晶胞参数为:a=7.247?,b=5.096?,c=11.702?,γ=134.18°。进行了二维、三维帕特逊分析和三维电子密度计算。全矩阵最小二乘法修正给出335个独立反射的R=0.067,R_w=0.058。经吸收和次级消光校正后,R=0.058。Bi和V原子各占据一套4e特殊点系,O原子占据两套一般点系。V³⁺是四配位,形成规则的VO₄四面体。Bi³⁺是八配位,形成畸变Bi-O十二面体。BiVO₄在T_c温度上下空间群各为I4₁/a和I2/b(或B2/b)。由四方到单斜相变没有正交中间变体。相变显然是由Bi-O多面体孤对畸变所驱动。Bi³⁺和V⁵⁺沿c轴上下交替位移,这就显示单斜BiVO₄具有层状结构的特征。这一特征由光学观察得到证实。该晶体在垂直干c轴的方向极易开裂而产生平坦的解理面。选取具有胞状结构圆盘形晶体、自然解理晶片和粉末晶粒三种试样进行了光学观察,并研究了晶体透过率与波长关系。 关键词：     

二羟基丙二酸根乙二胺合铂的分子结构及晶体结构

用SYNTEX P3/R3四圆衍射仪收集到1672个独立衍射点,晶体属三斜晶系,空间群为P1,α=4526(15)?,b=6.0947(8)?,c=10.1854(15)?,α=106.48(I),β=103.65(I),γ=79.12(I),z=2,用Patterson法得到重原子铂的坐标参数,用Fourier法得到全部非氢原子的坐标参数,用块矩阵最小二乘法修正,最后的R因子为0.055,铂采取d²sp³杂化轨函成键及六配位八面体构型。 关键词：     

Measurement of the Bc+ meson lifetime using the decay mode Bc+ --> J/Psie+nue

We present a measurement of the Bc+ meson lifetime in the decay mode Bc+ --> J/Psie+nue using the Collider Detector at Fermilab II detector at the Fermilab Tevatron Collider. From a sample of about of 360 pb(-1) of pp collisions at square root of s = 1.96 TeV, we reconstruct J/Psie+ pairs with invariant mass in the kinematically allowed range 4< M(J/Psie) < 6 GeV/c2. A fit to the decay-length distribution of 238 signal events yields a measured Bc+ meson lifetime of 0.463(-0.065)(+0.073)(stat) +/- 0.036(syst) ps.     

OCAD光学设计软件包

OCAD光学设计软件包是应用双优选阻尼最小二乘法为自动优化方法的多功能通用性光学设计CAD软件包,适用于IBM-PC/XT及其他兼容机。详细地介绍双优选阻尼最小二乘法的数学模型及自动优化方法,还介绍了软件包的基本功能及在软件包编制中几个具有特色的技巧和处理方法。     

苦玄参环氧甙元(Ⅰ)的晶体结构测定

苦玄参环氧甙元(Ⅰ)为植物苦玄参(Picria Fel-Tarrae Lour)有效成份苦玄参甙元(Ⅰ)(Picfeltarragenin)的环氧化合物。属正交晶系,空间群D₂⁴-P_(212121),晶胞参数a=28.373(9)?,b=10.667(5)?,c=9.115(4)?,晶胞内分子数z=4。用PW-1100四圆衍射仪收集衍射强度数据,独立衍射点2890个。用直接法(MULTAN-78)测定晶体结构。结构参数的修正采用准对角矩阵最小二乘法,R=0.084。由差值Fourier综合获得氢原子位置。苦玄参环氧甙元(Ⅰ)分子间的最短距离为3.5?。 关键词：     

Random walks on a ( 2+1)-dimensional deformable medium

A model of random walks on a deformable medium is proposed in 2+1 dimensions. The behavior of the walk is characterized by the stability parameter beta and the stiffness exponent alpha. The average square end-to-end distance l approximately equals (2nu) and the average number of visited sites approximately equals (k) are calculated. As beta increases, for each alpha there exists a critical transition point beta(c) from purely random walks ( nu = 1/2 and k approximate to 1) to compact growth ( nu = 1/3 and k = 2/3). The relationship between beta(c) and alpha can be expressed as beta(c) = e(alpha). The landscape generated by a walk is also investigated by means of the visit-number distribution N(n)(beta). There exists a scaling relationship of the form N(n)(beta)approximately n(-2)f(n/beta(z)).     

(Z)-1-溴-2-(对氯苯基)-1,2-双(对甲氧苯基)-乙烯晶体结构

题目化合物(C₂₂H₁₈O₂ClBr)为单斜晶系,空间群为(P2₁)/n,晶胞参数a=19.502(10)?,b=9.118(5)?,c=11.233(6)?;β=88.18(1)°。结构由MULTAN-80确定。首先在E图上确定了溴原子位置,由加权傅里叶综合定出了其余26个非氢原子坐标。原子坐标按各向同性和各向异性温度因子各修正两轮后,计算差值电子密度图,从差值图上找出了全部氢原子。氢原子坐标按各向同性和非氢原子按各 关键词：     

Remarks on interpretations of the Eotvos experiment and misinterpretation of E=mc^2

The Eotvos experiment on the verification of equivalence between inertial mass and gravitational mass of a body is famous for its accuracy. A question is, however, can these experimental results be applied to the case of a physical space in general relativity, where the space coordinates could be arbitrary？ It is pointed out that it can be validly applied because it has been proven that Einstein＇s equivalence principle for a physical space must have a frame of reference with the Euclidean-like structure. Will claimed further that such an overall accuracy can be translated into an accuracy of the equivalence between inertial mass and each type of energy. It is shown that, according to general relativity, such a claim is incorrect. The root of this problem is due to an inadequate understanding of special relativity that produced the famous equation E=mc^2, which must be understood in terms of energy conservation. Concurrently, it is pointed out that this error is a problem in Will＇s book, ‘Theory and Experiment in Gravitational Physics＇.     

First-Principles Calculations of Atomic and Electronic Properties of T1 and In on Si（111）

The atomic and electronic structures of T1 and In on Si（111） surfaces are investigated using the firstprinciples total energy calculations. Total energy optimizations show that the energetically favored structure is 1/3 ML T1 adsorbed at the T4 sites on Si（111） surfaces. The adsorption energy difference of one T1 adatom between （√3 × √3） and （1 × 1） is less than that of each In adatom. The DOS indicates that TI 6p and Si 3p electrons play a very important role in the formation of the surface states. It is concluded that the bonding of TI adatoms on Si（111） surfaces is mainly polar covalent, which is weaker than that of In on Si（111）. So T1 atom is more easy to be migrated than In atom in the same external electric field and the structures of T1 on Si（111） is prone to switch between （√3 × √3） and （1 × 1）.     

Study on the pre-chopper in CSNS LEBT

Physical designing of the pre-chopper in CSNS LEBT is carried out, which includes the deflecting voltage, the length and the width of the deflecting plates, and the gap between the deflecting plates. The most outstanding feature of the design is that both the gap and the width vary with the beam envelope size. So both the requried deflecting voltage and the loaded capacitance are lowered. In order to avoid destruction of the space charge neutralization by the pre-chopper in the whole LEBT, an electron-trapping electrode is arranged to confine the electrostatic field of the pre-chopper to the local area. To examine the reliability of the pre-chopping design in CSNS LEBT, a similar pre-chopping design in ADS RFQ LEBT is set up and an experiment on the pre-chopper is prepared. 3-dimensional simulations are carried out to determine the loaded capacitance and the applied voltage of the electron-trapping electrode.     

对氯苯甲酰哌啶晶体结构

对氯苯甲酸哌啶(C₁₂NOH₁₄Cl)的晶体属正交晶系,空间群为P2₁ 2₁ 2₁,晶胞参数为a=11.490(6)?,b=10.462(5)?,c=9.928(5)?,晶胞内分子数z=4。用PW-1100四圆衍射仪收集强度数据,Patterson法确定了氯原子的位置,Fourier综合获得了全部非氢原子位置,用全矩阵最小二乘法修正结构,最终的偏离因子R=0.094。差值Fourier综合确定了氢原子的位置。利用氯原子的反常散射效应确定了绝对构型。 关键词：     

Entropy of Quantum Dynamical Systems and Sufficient Families in Orthomodular Lattices with Bayessian State

The purpose of the present paper is to study the entropy hs（Ф） of a quantum dynamical systems Ф = （ L, s, Ф）, where s is a bayessian state on an orthomodular lattice L. Having introduced the notion of entropy hs（ Ф, A） of partition A of a Boolean algebra B with respect to a state s and a state preserving homomorphism Ф, we prove a few results on that, define the entropy of a dynamical system hs（Ф）, and show its invariance. The concept of sufficient families is also given and we establish that hs （Ф） comes out to be equal to the supremum of hs （Ф,A）, where A varies over any sufficient family. The present theory has then been extended to the quantum dynamical system （ L, s, Ф）, which as an effect of the theory of commutators and Bell inequalities can equivalently be replaced by the dynamical system （B, s0, Ф）, where B is a Boolean algebra and so is a state on B.     

Common suppression pattern of eta and pi0 mesons at high transverse momentum in Au + Au collisions at square root S(NN) = 200 GeV

Inclusive transverse momentum spectra of eta mesons have been measured within p(T) = 2-10 GeV/c at midrapidity by the PHENIX experiment in Au + Au collisions at square root S(NN) = 200 GeV. In central Au+Au the eta yields are significantly suppressed compared to peripheral Au + Au, d + Au, and p + p yields scaled by the corresponding number of nucleon-nucleon collisions. The magnitude, centrality, and p(T) dependence of the suppression is common, within errors, for eta and pi0. The ratio of eta to pi0 spectra at high p(T) amounts to 0.40 < R(eta/pi)0 < 0.48 for the three systems, in agreement with the world average measured in hadronic and nuclear reactions and, at large scaled momentum, in e+e- collisions.