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Dispersion coefficients for interactions among H, Li, Na, K atoms with Debye-Huckel potentials

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER 2013年 116卷 34-40页

作者： Kar, Sabyasachi Li, H. W. Shen, Z. C. Harbin Inst Technol Acad Fundamental & Interdisciplinary Sci Ctr Theoret Atom & Mol Phys Harbin 150080 Peoples R China Harbin Inst Technol Natl Key Lab Tunable Laser Technol Harbin 150080 Peoples R China

The effect of Debye-Huckel screening on the dispersion coefficients C-6, C-8, C-10 for interactions among H, Li, Na and K atoms has been investigated using the symplectic algorithm. The C-6, C-8, C-10 coefficients for interactions among alkali-metal atoms along with the dipole, quadrupole and octupole polarizabilities of K atom for various screening parameters are reported for the first time in the literature. In free-atomic cases, our results are comparable with available theoretical and experimental results. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： Dispersion coefficients Debye-Huckel potentials Alkali-metal atoms symplectic algorithm Polarizability

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Dynamic multipole polarizabilities of Li and Na atoms interacting with Debye potentials

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CENTRAL EUROPEAN JOURNAL OF PHYSICS 2013年第7期11卷 915-922页

作者： Kar, Sabyasachi Li, Hua-Wei Shen, Zuo-Chun Harbin Inst Technol Acad Fundamental & Interdisciplinary Sci Ctr Theoret Atom & Mol Phys Harbin 150080 Peoples R China Harbin Inst Technol Natl Key Lab Tunable Laser Technol Harbin 150080 Peoples R China

The effects of Debye potentials on the dynamic multipole polarizabilities of Li and Na atoms are investigated using the symplectic algorithm. Frequency-dependent multipole polarizabilities of Li(2s S-2) and Na(3s S-2)... 详细信息

关键词： dynamic multipole polarizabilities Debye potential symplectic algorithm

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Calculations of dynamic dipole polarizabilities of Li and Na atoms in debye plasma using the model potential technique

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INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY 2013年第10期113卷 1493-1497页

作者： Li, Hua-Wei Kar, Sabyasachi Jiang, Pinghui Harbin Inst Technol Acad Fundamental & Interdisciplinary Sci Ctr Theoret Atom & Mol Phys Harbin 150080 Peoples R China Harbin Inst Technol Natl Key Lab Tunable Laser Technol Harbin 150080 Peoples R China Heilongjiang Inst Technol Coll Elect & Informat Engn Harbin 150050 Peoples R China

The effects of Debye plasma on the frequency-dependent polarizabilities of Li and Na atoms are investigated using symplectic algorithm within the framework of the pseudostate summation technique. Dynamic dipole polarizabilities of Li (2s 2S) and Na(3s 2S) as functions of scaled number density of the plasma electrons for arbitrary plasma temperature are presented. Screening effects on the resonance frequencies are also presented. In free-atomic cases, our calculated results are comparable with the reported theoretical and experimental predictions. (c) 2012 Wiley Periodicals, Inc.

关键词： dynamic polarizability Debye potentials symplectic algorithm alkali-metal atoms resonant frequency pseudostates summation method model potential approach

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Modeling of the Seismic Scalar Wave Field Using the symplectic Scheme and Singular Kernel Convolutional Differentiator

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Chinese Journal of Geophysics 2013年第4期54卷 460-469页

作者： Yi-Qiong LI Xiao-Fan LI Tong ZHU Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China Institute of Geophysics China Earthquake Administration Beijing 100081 China Geophysical Research Institute SINOPEC Nanjing 210014 China

This work adopts both the symplectic difference scheme and singular kernel convolutional differentiator for modeling of the seismic scalar wave field. In this method the computational accuracy and stability have been greatly improved with a slight increase of calculation amount. Compared with other non-symplectic numerical methods, major advantages of the method presented in this paper are the structure-preserving property and a strong capability of long-time tracing. This approach provides a new and effective choice for high-accuracy modeling of large-scale and long-time history seismic wave fields.

关键词： symplectic algorithm Singular kernel convolutional differentiator Seismic wave modeling

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Elastic wavefield modeling by the symplectic discrete singular convolution differentiator method

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Acta Geophysica Sinica 2012年第3期55卷 343-351页

作者： Li, Yi-Qiong Li, Xiao-Fan Zhang, Mei-Gen Institute of Geology and Geophysics Chinese Academy of Sciences Beijing 100029 China Institute of Geophysics China Earthquake Administration Beijing 100081 China

In this paper, we introduce a structure-preserving method based on the symplectic discrete singular convolution differentiator (SDSCD) for simulating elastic wave fields. In the method presented for solving elastic wave equations, physical space is discretized by the singular convolution differentiator, whereas a symplectic difference scheme is used for the time discretization. With this method, the computational accuracy and stability have been greatly improved compared with traditional pseudo-spectral method. Numerical results suggest the SDSCD algorithm can suppress effectively numerical dispersion, and is suitable for modeling the large-scale and long-duration seismic wave propagation.

关键词： Discrete singular convolution differentiator Elastic wave fields modeling symplectic algorithm

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Transient Stability Online Simulation by symplectic Runge-Kutta Method and FGMRES Solver

Transient Stability Online Simulation by Symplectic Runge-Ku...

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Asia-Pacific Power and Energy Engineering Conference (APPEEC)

作者： Wang Fangzong He Yifan Ye Jing China Three Gorges Univ Elect Engn & Renewable Energy Sch Yichang 443002 Hubei Province Peoples R China

ISBN: (纸本)9781424462551

This paper proposes the application of the symplectic Runge-Kutta algorithm combined with the flexible GMRES method to solve the differential algebraic equations encountered in the power system transient stability simulation. In the proposed method, the s-stage 2s-order symplectic Runge-Kutta is used to convert the differential algebraic system in to a set of nonlinear algebraic equations, and then the large algebraic system is solved using a flexible inner-outer preconditioned GMRES method. The proposed method is of inherently parallel. The numerical simulation results obtained on IEEE 145-bus test system show that, the proposed method can achieve significant improvement in speed as compared to the conventional approach.

关键词： transient stability simulation parallel algorithm symplectic algorithm flexible GMRES method preconditioner

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Numerical algorithms for Solving Restricted Three Body Problem

Numerical Algorithms for Solving Restricted Three Body Probl...

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World-Association-of-Science-Engineering Global Congress on Science Engineering (GCSE 2010)

作者： Zhang, Yunyan Li, Yanjun Li, Nan NW Polytech Univ Sch Astronaut Xian 710072 Peoples R China

ISBN: (纸本)9780878492121

A precise integration algorithm for solving the restricted three body problem was put forward based on precise integration method, which divided a large integration time into small intervals and only small value matrix participates in the iterative process during the computation of the exponent matrix. And another symplectic algorithm for solving non-separable Hamiltonian system constructed by flow complex was also introduced, which only had periodic variational energy. The results of both algorithms were compared with fourth Runge-Kutta algorithm and their performances and advantages were analyzed, showing the validities of these two algorithms.

关键词： precise integration symplectic algorithm Hamiltonian system restricted three body problem

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Pseudospectral method with symplectic algorithm for he solution of time-dependent Schr(o)dinger equations

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中国物理（英文版） 2007年第7期16卷 1822-1826页

作者： Bian Xue-Bin Qiao Hao-Xue Shi Ting-Yun State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China Graduate School of the Chinese Academy of Sciences Beijing 100049 China Department of Physics Wuhan University Wuhan 430072 China State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China

A pseudospectral method with symplectic algorithm for the solution of time-dependent Schr(o)dinger equations(TDSE) is introduced. The spatial part of the wavefunction is discretized into sparse grid by pseudospectral method and the time evolution is given in symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSE. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atom in strong laser field as compared with previously published work. The influence of the additional static electric field is also investigated.

关键词： pseudospectral method symplectic algorithm high-order harmonic generation

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Pseudospectral method with symplectic algorithm for the solution of time-dependent SchrSdinger equations

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Chinese Physics B 2007年第7期16卷 1822-1826页

作者：卞学滨乔豪学史庭云 State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Wuhan Institute of Physics and Mathematics Chinese Academy of Sciences Wuhan 430071 China Department of Physics Wuhan University Wuhan 430072 China Graduate School of the Chinese Academy of Sciences Beijing 100049 China

A pseudospectral method with symplectic algorithm for the solution of time-dependent Schrodinger equations （TDSE） is introduced. The spatial part of the wavefunction is discretized into sparse grid by pseudospectral method and the time evolution is given in symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSE. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atom in strong laser field as compared with previously published work. The influence of the additional static electric field is also investigated.

关键词： pseudospectral method symplectic algorithm high-order harmonic generation

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线性哈密尔顿系统的m次连续有限元法

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高等学校计算数学学报 2011年第4期33卷 295-311页

作者：汤琼陈传淼刘罗华曹红萍湖南工业大学理学院湖南师范大学数学与计算机科学学院上海工程技术大学管理学院

1引言哈密尔顿系统是一个重要的动力系统,因此如何正确计算哈密尔顿系统有着重要的意义.正确的计算方法离散后应该保持着问题原型的基本特征.其中辛性质和能量守恒是哈密尔顿系统的两个重要特征.冯康和他的研究小组提出了哈密尔顿系统... 详细信息

1引言哈密尔顿系统是一个重要的动力系统,因此如何正确计算哈密尔顿系统有着重要的意义.正确的计算方法离散后应该保持着问题原型的基本特征.其中辛性质和能量守恒是哈密尔顿系统的两个重要特征.冯康和他的研究小组提出了哈密尔顿系统辛几何算法,

关键词： Hamilton equation continuous finite element method symplectic algorithm energy conservation

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