Small Compact Perturbation of Operators in B∞（Ω）

Abstract： We consider an approximation problem related to strongly irreducible operators, that is, does the direct sum of a strongly irreducible operator in B∞（Ω） and certain operator have a small compact perturbation which is a strongly irreducible operator in B∞（Ω）？ In this paper, we prove that the direct sum of any strongly irreducible operator in B∞（Ω） and certain biquasitriangular operator have small compact perturbations which are strongly irreducible operators in B∞（Ω）.     

β_∞(Ω)中算子的小紧扰动(英文)

We consider an approximation problem related to strongly irreducible operators, that is, does the direct sum of a strongly irreducible operator in в∞(Ω) and certain operator have a small compact perturbation which is a strongly irreducible operator in в∞(Ω)? In this paper, we prove that the direct sum of any strongly irreducible operator in в∞(Ω) and certain biquasitriangular operator have small compact perturbations which are strongly irreducible operators in в∞(Ω).     

平行电磁场中里德堡氢原子的自相似结构研究

利用半经典方法研究了平行电磁场中里德堡氢原子的分形自相似现象. 通过研究平行电磁场中里德堡氢原子的逃逸时间和初始出射角间的关系, 发现了逃逸时间图的自相似结构, 并通过研究与图中冰柱对应的逃逸轨道, 得到了自相似结构和逃逸轨道之间的关系, 发现了该类自相似逃逸轨道满足的规律. 进一步研究了标度能量和标度磁场对体系动力学的影响, 表明标度能量和标度磁场均控制体系的分形自相似结构. 当标度能量或标度磁场比较小时, 没有自相似现象, 随着标度能量或标度磁场的增大, 自相似出现, 体系变复杂.     

Dynamics of electron in a surface quantum well

This paper studies the quantum dynamics of electrons in a surface quantum well in the time domain with autocorrelation of wave packet. The evolution of the wave packet for different manifold eigenstates with finite and infinite lifetimes is investigated analytically. It is found that the quantum coherence and evolution of the surface electronic wave packet can be controlled by the laser central energy and electric field. The results show that the finite lifetime of excited states expedites the dephasing of the coherent electronic wave packet significantly. The correspondence between classical and quantum mechanics is shown explicitly in the system.     

抑制剂8Q9和8QC与bromodomain结构域蛋白4作用机理的分子动力学研究

Bromodomain结构域蛋白4（bromodomain-containing protein 4,BRD4）已成为治疗多种疾病药物设计的重要靶标. 最近在实验上发现了几种有效的靶向BRD4的抑制剂,但具体的抑制机理尚不清楚．此工作采用分子动力学模拟,动态相关性分析和结合自由能计算研究抑制剂8Q9和8QC与BRD4(1)的结合模式．分子动力学分析表明抑制剂结合对BRD4(1)的结构柔性产生重大影响．同时动态相关性分析进一步表明抑制剂结合极大地改变了BRD4(1)的运动模式．结合自由能计算结果表明范德华相互作用是抑制剂与BRD4(1)结合的主要驱动力．采用基于残基的自由能分解方法评估了分离残基对抑制剂结合的贡献,数据表明氢键相互作用和疏水相互作用是影响抑制剂与BRD4(1)结合的关键因素．本研究有望为设计和开发靶向BRD4的抑制剂提供有意义的理论指导．     

Influence of laser pulse on the autocorrelation function of H in a strong electric field

The autocorrelation function of electronic wave packet of hydrogen atom in a strong electric field below the zero-field ionization threshold is investigated in the formalism of semiclassical theory. It is found that the autocorrelation depends on the applied laser pulse significantly. In the case of narrow laser pulse, the reviving peaks in the autocorrelation can be attributed to the closed orbits of electrons, which are related to the classical dynamics of the system. But this correspondence is wiped out with increasing the laser width because of the interference among the adjacent reviving peaks.     

State-to-state dynamics of F(~2P) + HO(~2Π) → O(~3P) + HF(~1Σ~+)reaction on 1~3A〞 potential energy surface

State-to-state time-dependent quantum dynamics calculations are carried out to study F(~2P) + HO(~2Π) → O(~3P) +HF(~1Σ~+) reaction on 1~3A〞 ground potential energy surface(PES). The vibrationally resolved reaction probabilities and the total integral cross section agree well with the previous results. Due to the heavy–light–heavy(HLH) system and the large exoergicity, the obvious vibrational inversion is found in a state-resolved integral cross section. The total differential cross section is found to be forward–backward scattering biased with strong oscillations at energy lower than a threshold of 0.10 eV, which is the indication of the indirect complex-forming mechanism. When the collision energy increases to greater than 0.10 eV, the angular distribution of the product becomes a strong forward scattering, and almost all the products are distributed at θ_t = 0°. This forward-peaked distribution can be attributed to the larger J partial waves and the property of the F atom itself, which make this reaction a direct abstraction process. The state-resolved differential cross sections are basically forward-backward symmetric for v' = 0, 1, and 2 at a collision energy of 0.07 eV; for a collision energy of 0.30 eV,it changes from backward/sideward scattering to forward peaked as v increasing from 0 to 3. These results indicate that the contribution of differential cross sections with more highly vibrational excited states to the total differential cross sections is principal, which further verifies the vibrational inversion in the products.