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The differential cross sections and angular distribution parameter of the photoionization processes 2p 63s→ 2p 53skl of atomic Na have been calculated by using many-body perturbation theory. In the calculation, the resonant structure of the excitation process 2s→3p has been included. The electron correlation interaction was analyzed by using the effective diagram method. The summation of specific classes of these diagrams is to an infinite order. The results of calculations are compared with experimental data, which are in good agreement with the experiment.  相似文献
2.
The dominant diagrams were found in double-excited resonant structure of photoionization by using many-body perturbation theory. Based on the characteristics of these diagrams, the couple-equation method was improved, and the summation of specific classes of these diagrams is to an infinite order, and the resonant peaks with the widths are obtained first. The doubled-excited resonant structures (2p, 3s)→(3p,np), (3p,nf), (3d,nd), (3d,ns) and (4s,ns) of the photoionization processes 2p→ks, kd are obtained. The photoionization with excitation process (2p, 3s)→(3p, kp) was included in the calculations. The results of calculations are compared with the experimental data from 38.5 to 46.8 eV photon energies, which are in good agreement with the experiment. Project supported by the State Education Committee of China.  相似文献
3.
We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.  相似文献
4.
Let $E = \bigcup\limits_{n = 1}^\infty {{I_n}} $ be the union of infinitely many disjoint closed intervals where In = [a n , b n ], 0 < a 1 < b 1 < a 2 < b 2 < … < b n < …, $\mathop {\lim }\limits_{n \to \infty } $ b n = ∞. Let α(t) be a nonnegative function and $\{ {\lambda _n}\} _{n = 1}^\infty $ a sequence of distinct complex numbers. In this paper, a theorem on the completeness of the system $\{ {t^{{\lambda _n}}}{\log ^{{m_n}}}t\} $ in C 0(E) is obtained where C 0(E) is the weighted Banach space consists of complex functions continuous on E with f(t)e?α(t) vanishing at infinity.  相似文献
5.
We take a new approach to obtain necessary and sufficient condition for the incompleteness of exponential system in Cα, where Cα is the weighted Banach space of complex continuous functions f defined on the real axis with f(t)exp(-α(t)) vanishing at infinity, in the uniform norm.  相似文献
6.
本文主要有两部分:第1部分找到一个拟合VIX指数能力较优的随机波动率模型;第2部分是在较优模型下讨论VIX指数期权定价问题.其中第1部分首先利用非参数方法估计随机波动率模型的漂移项和扩散项,然后在此基础上对七个经典随机波动率模型进行拟合和比较.第2部分在较优模型基础上加上跳跃,讨论期权定价的PDE和解析解.  相似文献
7.
Our purpose is to define composition operators acting upon Hardy spaces of Riemann surfaces. In terms of counting functions related to analytic self-map on Riemann surfaces, the boundedness and compactness are characterized.  相似文献
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