Structure of Quantum Doubles of Finite Clifford Monoids

Abstract

In this paper, over a field k, we give the structure theorem of the quantum double of a finite Clifford monoid through bicrossed products and quantum doubles of groups. By this result, it is shown that the quantum double of a finite Clifford monoid is semisimple (resp. von Neumann regular) if and only if the semigroup is a finite group and the characteristic p of k does not divide the order of this group.     

邻羟基苯腈的双色共振增强多光子电离光谱及Franck-Condon模拟

在自制直线式飞行时间质谱仪上进行了双色共振增强双光子电离实验,获得了振动分辨的邻羟基苯腈的共振增强多光子电离(resonance enhanced multiphoton ionization, REMPI)光谱,结合高精度密度泛函理论计算和Franck-Condon光谱模拟,详细分析了光谱特征,发现了大量基频、泛频和组合振动,并进行了光谱归属.大部分苯环的基频振动归属为环在平面内的畸变或平面内的摇摆,这与分子激发过程中苯环的扩张有关.理论和实验结果都表明, REMPI光谱的低频段信号强,背景低,谱带少,分辨率好.随着振动频率的增加,信号向相反的方向变化.这是由于低频段光谱主要来自于低频的基频振动、少量泛频的贡献.随着振动频率增加,泛频和各种模的组合振动逐渐增多,导致了高频区谱带稠密,分辨率变差.高阶振动和多模的组合振动通常有较低的Franck-Condon因子,因此信号随频率增大逐渐变弱,信噪比变差.     

Charge state effect on the K-shell ionization of iron by xenon ions near the Bohr velocity

Fe K-shell ionization cross sections induced by 2.4–6.0 MeV Xe20+are measured and compared with different binaryencounter-approximation(BEA)models.The results indicate that the BEA model corrected both by the Coulomb repulsion and by the effective nuclear charge(Zeff)agrees well with the experimental data.Comparison of Fe K-shell X-ray emission induced by 5 MeV xenon ions with different initial charge states(20+,22+,26+,30+)verifies the applicability of the effective nuclear charge(Zeff)correction for the BEA model.It is found that Zeffcorrection is reasonable to describe direct ionization induced by xenon ions with no initial M-shell vacancies.However,when the M shell is opened,the Zeffcorrected BEA model is unable to explain the inner-shell ionization,and the electron transfer by molecular-orbital promotion should be considered.     

Ab initio MRCI＋Q study on potential energy curves and spectroscopic parameters of low-lying electronic states of CS＋

Carbon monosulfide molecular ion （CS＋）, which plays an important role in various research fields, has long been attracting much interest. Because of the unstable and transient nature of CS＋, its electronic states have not been well investigated. In this paper, the electronic states of CS＋ are studied by employing the internally contracted multireference configuration interaction method, and taking into account relativistic effects （scalar plus spin–orbit coupling）. The spin–orbit coupling effects are considered via the state-interacting method with the full Breit–Pauli Hamiltonian. The potential energy curves of 18 Λ–S states correlated with the two lowest dissociation limits of CS＋ molecular ion are calculated, and those of 10 lowest Ω states generated from the 6 lowest Λ–S states are also worked out. The spectroscopic constants of the bound states are evaluated, and they are in good agreement with available experimental results and theoretical values. With the aid of analysis of Λ–S composition of Ω states at different bond lengths, the avoided crossing phenomena in the electronic states of CS＋ are illuminated. Finally, the single ionization spectra of CS （X1Σ＋） populating the CS＋（X2Σ1/2＋, A2Π3/2, A2Π1/2, and B2Σ1/2＋） states are simulated. The vertical ionization potentials for X2Σ1/2＋, A2Π3/2, A2Π1/2, and B2Σ1/2＋ states are calculated to be 11.257, 12.787, 12.827, and 15.860 eV, respectively, which are accurate compared with previous experimental results, within an error margin of 0.08 eV~0.2 eV.     

Measurement of currents and floating potential in multilayer sensor due to oil-flow electrification

This paper presents floating potential and current measurements due to oil-flow electrification inside a multilayer sensor incorporated in a closed loop filled with fresh transformer oil. All leakage currents at the sensor inlet and outlet, the capacitive current and the streaming current are measured. The waveforms of these currents, floating potential as well as the oil temperature at the sensor inlet are simultaneously recorded for laminar flow and at controlled operating conditions. The measured floating potentials are compared with the calculated ones under different oil-flow velocities and good agreement has been found.     

Thickness and stacking geometry effects on high frequency overtone and combination Raman modes of graphene

We investigate two high frequency Raman overtone and combination modes of graphene named 2D' and 2D + G bands, and located at ~3240 and ~ 4260 cm^–1, respectively. The graphene thickness and stacking geometry effects for these two modes are systematically studied. The features of the 2D' band, which arises from intravalley double resonance, are not sensitive to the variation of thickness with single Lorentzian peak and fixed linewidth. We explain it theoretically by calculating the phonon dispersion mode in k‐space and find that the flat band region of longitudinal optical phonon near Γ point is the mechanism leading to the 2D' band nonsplit. With the thickness increasing, the band position exhibits blueshift and the linewidth increases for the 2D + G band. With changing thickness and stacking geometry of graphene, the intensities of these two high‐frequency bands show obvious different evolution compared with that of G band. Copyright © 2012 John Wiley & Sons, Ltd.     

Electron paramagnetic resonance of Cr3+ ions in ferroelastic CsLiSO4

The X-band EPR studies of Cr³⁺-doped LCS have been performed. The values of the spin-Hamiltonian parameters for Cr³⁺ ions have been estimated at room temperature. The effect of crystal twinning on the EPR spectra has also been described. The temperature behaviour of EPR lines originated from two structurally different chromium complexes has been studied close to the ferroelastic phase transition. From the temperature dependence of positions of the split resonance lines a value of the critical exponent β of the order parameter was found to be β = 0.25.     

Vibronic origins of high T c

In this paper we present a detailed development of our vibronic mechanism for the explanation of high temperature superconductivity. We first review the evidence for believing that some unified mechanism for “low” and “high” T _c is required. We then develop the case for the existence of the double-well motions, required by our theory, in these systems, and proceed to develop our ideas further to the point of unifying, the T _c ～ 100 K, and the T _c ～ 40 K systems. We also advance a possible explanation of the anomalous isotope effects in these systems, and conclude with an extended discussion of non-cuprate systems and general criteria for high T _c theories, including the gap to kT _c ratio.     

广义矩阵分布下多元回归模型的贝叶斯推断

考虑具有奇异矩阵椭球等高分布误差的多元线性回归模型的贝叶斯统计推断,在非信息先验下得到了系数矩阵关于Hausdorff测度的后验边缘分布和未来观察值的预测分布,并得到了一类特殊奇异矩阵椭球等高分布下误差协方差矩阵的后验边缘分布.对于具有奇异矩阵正态分布误差的多元线性回归模型,在广义正态-逆Wishart共轭先验下得到了类似的后验边缘分布和预测分布结果.在上述两种先验分布下,回归系数矩阵的后验边缘分布和预测分布是双奇异矩阵t分布,这种分布具有关于Hausdorff测度的精确密度.结果表明,在非信息先验下,回归系数矩阵的后验边缘分布和未来观察值的预测分布在奇异矩阵椭球等高分布类中具有稳健性.