COMPACT COMPOSITION OPERATORS ON GENERALIZED LIPSCHITZ SPACES

In this paper, boundedness and compactness of the composition operator on the generalized Lipschitz spaces Λα (α > 1) of holomorphic functions in the unit disk are characterized.     

苯C—H伸缩振动弱增益模式的受激拉曼散射

对苯的长拉曼振动模式C—H(3060 cm^-1线)伸缩振动的一阶受激拉曼散射进行了实验研究.利用在苯溶液中加入甲苯溶液,在液芯光纤内实现了苯的全对称C—H伸缩振动3060 cm^-1线的受激拉曼散射.利用等离子体解释了这一增强机理. 关键词： 液芯光纤 受激拉曼散射 等离子体     

伪多元函数的Thiele型有理插值

根据伪多元函数的特性,主要讨论了伪多元函数的Thiele型有理插值,并给出了Thiele型有理插值的误差.     

The stimulated Raman scattering competition between solute and solvent in Rhodamine B solution

The competition between the stimulated resonance Raman scattering (SRRS) of Rhodamine B (RhB) and the stimulated Raman scattering (SRS) of ethanol (C₂H₅OH) is observed at the RhB in C₂H₅OH solution. For different concentrations of the solution, the peak wavelengths of the SRRS, the amplified spontaneous emission (ASE), the fluorescence and the absorption of RhB are different. The SRRS of RhB and the SRS of C₂H₅OH are simultaneously generated when the concentration of the solution is 10^-5 mol/L and the energy of the excitation laser is 20.4 mJ. Otherwise, only either the SRRS of RhB or the SRS of C₂H₅OH is generated. The SRRS can be amplified by the ASE gain when the SRRS is near the peak of the ASE, and the peak wavelength of the SRRS coincides with the wavelength of the maximal intensity ASE.     

溶液浓度对CCl4费米共振的影响

测量了四氯化碳在苯中不同浓度的拉曼光谱,分析了不同浓度下四氯化碳v₁+v₄~v₃费米共振的变化。结果表明:随着浓度的降低,两费米双光谱强度比R增加,而频差Δ减小、费米共振耦合系数W减小、非谐力常数K增加。这种费米共振随浓度的变化是由溶剂效应引起的,即随着四氯化碳在苯中的浓度降低,其拉曼散射系数(光谱强度)增加,使两费米双线光谱强度增加而减弱了费米共振。     

A Lower Bound on Concurrence

We derive an analytical lower bound on the concurrence for bipartite quantum systems with an improved computable cross norm or realignment criterion and an improved positive partial transpose criterion respectively. Furthermore we demonstrate that our bound is better than that obtained from the local uncertainty relations criterion with optimal local orthogonal observables which is known as one of the best estimations of concurrence.     

采用超薄双层靶提高质子束的单能性

利用1维粒子模拟程序,研究了超短超强激光脉冲与超薄双层靶(基底层和加速层厚度均为nm量级)相互作用产生准单能质子束的过程。研究表明,基底层厚度及加速层厚度对质子能谱的影响至关重要。减小基底层厚度,靶后静电场增强,质子的最大能量显著增大;减小加速层厚度,靶后静电场分布变得更加均匀,质子能谱中心能量变化不大,单能性变好。通过优化参数,获得了能散度为7%的准单能质子束。     

Investigation of inter-molecular hydrogen bonding in the binary mixture (acetone + water) by concentration dependent Raman study and ab initio calculations

This paper reports that vibrational spectroscopic analysis on hydrogen-bonding between acetone and water comprises both experimental Raman spectra and ab initio calculations on structures of various acetone/water complexes with changing water concentrations. The optimised geometries and wavenumbers of the neat acetone molecule and its complexes are calculated by using ab initio method at the MP2 level with 6-311+G(d,p) basis set. Changes in wavenumber position and linewidth (fullwidth at half maximum) have been explained for neat as well as binary mixtures with different mole fractions of the reference system, acetone, in terms of intermolecular hydrogen bonding. The combination of experimental Raman data with ab initio calculation leads to a better knowledge of the concentration dependent changes in the spectral features in terms of hydrogen bonding.     

用新公式精确研究N_2分子部分电子态的离解能

本文使用代数方法(AM),研究了N_2分子的X~1∑~+_g、A~3∑~+_u、B~(′3)∑~-_u、a′~1∑~-_u、b′~1∑~+_u、B~3∏_g、c′_4~1∑~+_u等七个电子态的离解能;然后使用新公式计算了这些电子态的离解能,并分别与离解能的实验值进行了分析对比.结果表明:使用新公式得到的分子离解能与离解能的实验值更为接近.对于那些用实验方法还难以获得其离解能的电子态,该式提供了一种获得其离解能的新途径.     

冷冻靶校准误差和烧蚀层粗糙度对氘氚层均匀性的影响

 理论分析了氘氚层外表面的温差与其粗糙度间的关系;以法国兆焦激光装置LMJ为原型,利用计算流体力学程序Fluent,分别模拟了靶丸轴向偏离黑腔中心不同尺度和烧蚀层存在不同大小的非均匀厚度对氘氚层温度分布的影响,求得了这两种误差引起氘氚层厚度的非均匀度。结果表明：为了满足点火靶的要求,靶丸轴向偏离腔体中心的尺度须在8.5 μm内,烧蚀层轴向粗糙度则应控制在0.72 μm内。