处理NaCs光解离问题的两种方案比较

利用含时波包动力学方法中的劈裂算符-傅里叶变换传播方案和切比雪夫多项式展开方案研究了Na Cs分子的光吸收截面,并对由这两种方案计算得出的结果进行了比较.结果表明劈裂算符-傅立叶变换传播方案能更好地展示光吸收截面的中间动力学信息,而在研究初始波包与光吸收截面的关系时,由切比雪夫多项式展开方案获得的结果则更直观.利用后一方案计算的从基态X1∑+不同振动态跃迁到激发态B1∑+上相应的光吸收截面的结果表明,初始波包对光吸收截面有一定的影响,所有振动态的吸收截面均表现出谐振行为,即每一个振动态吸收截面最小值的个数恰好等于基态振动态波函数节点的个数,这种节点映射行为与映射原理相符合.     

H+D2O→HD+OD反应的微分截面:一种全维态-态量子动力学计算

用含时波包方法计算得到H+D₂O→HD+OD反应的第一个初始基态,第一对称（100）和反对称（001）伸缩振动激发态的全维态-态微分截面.计算的三个初始态的微分截面在低碰撞能量下都是很强的后向散射.随着碰撞能量的增加,微分截面越来越宽,伴随着峰的位置逐渐向小角度移动,与标题反应是一个通过抽取机理的直接反应相一致.发现（100）和（001）态不只有几乎完全相同的积分截面,还有基本相同的微分截面-在相同的总能量下和基态反应也接近.反应产生的OD只有很小一部分在v=1态上,其分布几率和基态与振动激发态的相对几率相似,从而证实了Zare等人的实验结果和局域模式图像.另外让人意想不到的是,在相同的总能量下,伸缩激发抑制了产物HD的转动激发.     

H$lt;sub$gt;2$lt;/sub$gt;$lt;sup$gt;+$lt;/sup$gt;在强激光场中的解离及其量子调控的理论研究

利用非波恩-奥本海默近似的三维含时量子波包法,理论研究了氢分子离子在强激光场中的解离动力学.通过分析H₂⁺在不同的初始振动态（ν=0–9）和激光场强度下的解离核动能谱,得到了H₂⁺的光解离机理及其随激光场的变化规律.研究结果表明：当激光场的强度I₁=5.0×10¹³ W/cm²时,分子的解离来源于高振动态ν=5–9,其解离机理主要是通过键软化、键硬化和阈下解离过程.当激光场的强度I₂=1.0×10¹⁴ W/cm² 时,H₂⁺在低振动态ν=3–4上的阈上解离起主导作用,而高振动态的键软化、键硬化和阈下解离所占的比重明显地下降了.研究结果为后续的量子调控的实验研究提供了科学的理论预测和指导. 关键词： 光解离 氢分子离子 含时波包法 核动能谱     

Cs2分子的光解离和碰撞能量转移

利用He-Cd+激光器的441.6 nm线光解Cs2分子,使Cs(6D)态得到布居,在Cs2密度为1～9×1015 cm-3范围内,测量原子荧光对分子荧光强度比,得到碰撞转移率系数对解离率之比为9.6×10-18 cm3.测定Cs(6D3/2)对6D5/2荧光强度分支比,得到62D态精细结构能级解离率之比为0.41.从翼激发得到的精细结构转移截面与从共振激发得到的截面结果相符.     

三态K2分子飞秒含时光电子能谱的理论研究

利用三态模型和含时波包法, 研究了K₂分子在强飞秒抽运-探测激光场中延时、脉宽以及抽运波长对光电子能谱和波包动力学过程的影响. 研究结果表明, 激光场强较弱或者脉宽较短都可能不发生Autler-Townes分裂, 光电子能谱呈现出单峰结构; 延时和抽运波长的改变影响能峰结构、位置和相对峰高; 对于不同的抽运波长, 波包的振动周期是相同的, 波包振荡幅度随脉宽增大而减小; 光电子能谱反映了波包动力学信息. 研究结果可以为实验上实现分子的光控制以及量子调控过程提供一定的参考, 并为进一步研究K₂分子的动力学性质提供有用的信息.     

两种结构的C4分子在激光场中的响应

运用含时密度泛函理论和分子动力学相结合的方法,研究线形和环形C4分子的光吸收谱及在强激光场中的电子和离子响应.研究表明,在相同的激光参数下,线形C4分子主要是电子获得能量,而环形C4分子主要是离子获得能量;线形C4分子的电离增强,x方向的激光场仅激发起线形C4分子的Dx的偶极振动,但是能激发起环形C4分子Dx的偶极振动及Dy的非偶极振动.     

基于从头算势能面对S-(2P)+H2(1Σ+g)→SH-(1Σ)+H(2S)反应的量子含时波包计算

本文基于离子分子SH₂^-基态势能面,应用含时波包方法研究了反应S^-(²P)+H₂(¹Σ⁺_g)→SH^-(¹Σ)+H(²S)的动力学行为. 给出了反应几率和积分截面随碰撞能的变化关系,结果表明,在讨论的所有碰撞能量范围内二者均存在显著的振荡结构. 当初始转动量子数j=0,2,4,6,8,10和振动量子数v=0,1,2,3,4时,从总反应几率数值计算中可以看出,双原子H₂的振动激发和转动激发显著提高了反应活性. 同时积分散射截面的理论值与前人的实验值相符合.     

CH4和CD4解离吸附的量子含时动力学研究

运用含时波包法(time-dependent wave packet method),对CH4和CD4在光滑静止的Ni(100)表面的解离吸附进行了量子动力学研究与计算.不同振动态下解离几率随平动能的变化曲线表明,反应分子的振动能对分子的解离有重要贡献,其反应趋势,与其它理论模型得到的结果一致.CH4与CD4解离几率的对数随平动能的变化曲线表明,CH4的解离几率比CD4的要高得多,这种同位素效应,是由它们不同的零点能和量子隧道效应引起的,且与实验结果符合得比较好.     

D+CD4→CD3+D2反应的量子含时动力学研究

运用半刚体振动转子靶(semirigid vibrating rotor target)模型,利用含时波包法(TDWP method),对反应D+CD4→CD3+D2进行了量子含时动力学研究与计算.反应几率随平动能的变化图象,呈现出显著的量子共振特性.并通过对v=0时,j=0,1,2的反应几率以及j=0时,v=0,1的反应几率的计算,对该反应的空间效应进行了研究与分析.     

CH_4和CD_4解离吸附的量子含时动力学研究

运用含时波包法 (time -dependentwavepacketmethod) ,对CH4和CD4在光滑静止的Ni( 10 0 )表面的解离吸附进行了量子动力学研究与计算。不同振动态下解离几率随平动能的变化曲线表明 ,反应分子的振动能对分子的解离有重要贡献 ,其反应趋势 ,与其它理论模型得到的结果一致。CH4与CD4解离几率的对数随平动能的变化曲线表明 ,CH4的解离几率比CD4的要高得多 ,这种同位素效应 ,是由它们不同的零点能和量子隧道效应引起的 ,且与实验结果符合得比较好     

Theoretical simulation of the photoassociation process for NaCs

We investigate the two-step association process of NaCs using the time-dependent wave packet method.Ground state atoms can be photoassociated to the low vibrational levels of the ground state for an NaCs molecule by the two-step association.The time-dependent Schro¨dinger equation of the association process is solved within a three-state model and the wave packet is propagated with the "split operator-Fourier transform" scheme and the rotating-wave approximation(RWA).The vibrational population distribution of the ground state can be obtained by projecting the wave packet to every vibrational level of the ground state.The results not only show that for NaCs achievement of photoassociation production is accompanied by the photodissociation of the higher vibrational molecules,but also show that the vibrational distribution in lower vibrational levels of the ground state changes with the laser parameters.     

Control schemes for synchronizing two subnetworks with weak couplings

In this paper, we propose a well-designed network model with a parameter and study full and partial synchronization of the network model based on the stability analysis. The network model is composed of a star-coupled subnetwork and a globally coupled subnetwork. By analyzing the special coupling configuration, three control schemes are obtained for synchronizing the network model. Further analysis indicates that even if the inner couplings in each subnetwork are very weak, two of the control schemes are still valid. In particular, if the outer coupling weight parameter θ is larger than (n2 2n)/4, or the subnetwork size n is larger than θ2, the two subnetworks with weak inner couplings can achieve synchronization. In addition, the synchronizability is independent of the network size in case of 0 < θ < n/(n + 1). Finally, we carry out some numerical simulations to confirm the validity of the obtained control schemes. It is worth noting that the main idea of this paper also applies to any network consisting of a dense subnetwork and a sparse network.     

Comparison of scanning schemes for opto-acoustic diagnostics of turbid media

This paper is devoted to the numerical simulation of the applicability of electronically scanning quasiresonant ultrasonic receivers, similar to those used in the ultrasonic studies, for noninvasive opto-acoustic diagnostics of turbid media under conditions of limited access of the medium surface. An advantage of such receivers is their ability to acquire a two-dimensional opto-acoustic image of the internal structure of the studied object in the case of its limited accessibility without the necessity of moving macroscopically the acoustic sensor itself. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 51, No. 4, pp. 349–358, April 2008.     

Comparison of different quantization schemes for 2-D interacting vortices

A system of two interacting 2-D vortices is quantized following different procedures. The hamiltonian operator Fourier spectra thus obtained are different, due to the freedom connected with the process of quantization. It is found that such a freedom can be described in terms of a single continuous parameter (entering the filter function of Agarwal and Wolf) in the Weyl-like scheme, whereas the canonical quantization scheme leads to a Fourier spectrum which is analytically disjoint from such a parametrization.     

Comparison of turbulent flow measurement schemes for 4D flow MRI

Journal of Visualization - Recently, time-resolved 3D phase contrast magnetic resonance imaging, which is also called 4D flow MRI or 4D PC-MRI, has been widely utilized to investigate spatial and...