光滑激光脉冲作用下的强场自电离

本文研究了光滑激光脉冲作用下包含高阶离化的强场自电离过程,导出了其中的基本方程,得到了基态布居和光电子谱的一系列解析表达式。讨论了指数增长脉冲作用时的具体结果,发现高能谱比低能谱更能呈现出光电子谱在脉冲光作用下特有的多峰分裂。     

多电子束契伦柯夫自由电子激光振荡器

我们对多电子束契伦柯夫自由电子激光进行了首次实验研究。280A,500kV的电子束被引入一多介质矩形谐振腔,在频率为33.4GHz处产生了1.7MW的契伦柯夫相干受激辐射。互作用效率为1.2％。     

多量子核磁共振的直接观测

本文用异核弱耦合体系AX_n(n=1,2,3)证明,多量子相干性(MQC)在弱连续波(CW)辐射场的微扰下可以实时地显示各阶多量子(MQ)跃迁.文中讨论了CW频率偏置及辐射场强对所观测的MQ跃迁的影响,指出这种单次扫描的MQNMR方法灵敏度高,谱易于辨认,只需要一维Fourier变换,因此具有应用前景.文中还对CW辐照产生的Raman效应作出解释.     

Frame Wavelets with Compact Supports for L^2（R^n）

The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For a given n × n real expansive matrix A, the frame-sets with respect to A are a family of sets in R^n. Based on the frame-sets, a class of high-dimensional frame wavelets with analytic forms are constructed, which can be non-bandlimited, or even compactly supported. As an application, the construction is illustrated by several examples, in which some new frame wavelets with compact supports are constructed. Moreover, since the main result of this paper is about general dilation matrices, in the examples we present a family of frame wavelets associated with some non-integer dilation matrices that is meaningful in computational geometry.     

Detecting emboli from Doppler ultrasound signals with the wavelet packet analysis method

A Doppler ultrasound analysis method based on wavelet package transform was proposed for embolic detection. The embolic Doppler signal was firstly decomposed using the wavelet packet. Then the sensitive characteristics were calculated from each sub-band signal and used in the emboli classification. This method was applied to analyze 300 cases simulated and 163 cases clinical Doppler signals. The minimum error ratio of embolic detection using this method was 13 percents lower than that using the traditional spectrogram analysis method.It was shown that this method overcame the limit between the time and frequency resolution in the short time Fourier transform, improved the accuracy of embolic detection greatly and extracted more reliable parameters for the clinical diagnosis.     

Momentum Transfer Dependence of Two Types of the Broad Enhancement Phenomena： CO Spectra in the Valence Energy Region

Partial generalized oscillator strength densities of CO molecules related to the excitation of a 5σ or 1π electron are calculated by using multi-scattering self-consistent-field methods.Momentum transfer dependence of two types of the broad enhancement phenomena above the threshold with one-electron character,i.e. shape resonance and non-resonance enhancement,is studied.Our calculations show that the energy position of a non-resonance enhancement is related to the momentum transfer K.Therefore,electron impact based experiments can be used to identify the two types of the broad enhancement phenomena.     

Multi-component SC Lax Integrable Hierarchy of Soliton Equations and Its Multi-component Integrable Coupling System with Two Arbitrary Functions

A new simple loop algebra ^-GM is constructed, which is devoted to establishing an isospectral problem.By making use of generalized Tu scheme, the multi-component SC hierarchy is obtained. Furthermore, an expanding loop algebra ^-FM of the loop algebra ^-GM is presented. Based on FM, the multi-component integrable coupling system of the multi-component SC hierarchy of soliton equations is worked out. How to design isospectral problem of mulitcomponent hierarchy of soliton equations is a technique and interesting topic. The method can be applied to other nonlinear evolution equations hierarchy.     

Auger图示对锰原子共振结构的影响

使用多体微扰理论(many-body perturbation theory，MBPT)计算了锰原子的3p^63d^54s^2→3p^53d^54s^2nd系列里德堡共振结构。在耦合方程方法中考虑了Auger图式，计算表明，Auger图式有效地抑制了3p→nd系列共振结构的发散。     

关于多目标数学规划的最优性条件

本文讨论定义于Ｂａｎａｃｈ空间的多目标数学规划，得到一些ε－最优解和（弱）有效解的必要条件，充分条件和必要充分条件。     

多光束相干控制光学跃迁的理论研究

根据量子干涉的基本原理，研究了在多束相干激光场作用下分子或凝聚态体系光学跃迁几率与光场的相位关系，推导了作为相干控制基础的多路径光学跃迁的一般模型及其特殊情形的跃迁几率的关系表达式，归纳了已有的相干控制激发方案，提出的频域的相干控制可用统一的量子理论描述，理论研究的结果表明，对多路径量子跃迁过程，在相干外场的作用下，会引起态的量子干涉，使总跃迁几率的大小随外场的相位变化而改变，这是实现与光学跃迁过