| B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrodinger Equations |
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| 作者姓名： | 卞学滨 乔豪学 史庭云 |
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| 作者单位： | [1]State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 [2]Department of Physics, Wuhan University, Wuhan 430072 [3]Graduate School of the Chinese Academy of Sciences, Beijing 100049 |
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| 基金项目： | Supported by the National Natural Science Foundation of China under Grant No 10374119, and the 0ne-Hundred-Talents Project of Chinese Academy of Science. ACKN0WLEDGMENTS： We gratefully acknowledge Professors Ding Peizhu and Liu Xueshen for their hospitality and help with the symplectic al- gorithm. |
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| 摘 要： | A B-spline with the symplectic algorithm method for the solution of time-dependent Schrodinger equations （TDSEs） is introduced. The spatial part of the wavefunction is expanded by B-spline and the time evolution is given in a symplectic scheme. This method allows us to obtain a highly accurate and stable solution of TDSEs. The effectiveness and efficiency of this method is demonstrated by the high-order harmonic spectra of one-dimensional atoms in comparison with other references.
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| 关 键 词： | B样条 偶对算法 Schrodinger方程 波函数 谐波光谱 |
| 收稿时间： | 2006-05-11 |
| 修稿时间： | 2006-05-11 |
B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrodinger Equations |
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| BIAN Xue-Bin, QIAO Hao-Xue, SHI Ting-Yun.B-Spline with Symplectic Algorithm Method for Solution of Time-Dependent Schrodinger Equations[J].Chinese Physics Letters,2006,23(9):2403-2406. |
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| Authors: | BIAN Xue-Bin QIAO Hao-Xue SHI Ting-Yun |
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| Institution: | 1.State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071 ; 2.Department of Physics, Wuhan University, Wuhan 430072; 3. Graduate School of the Chinese Academy of Sciences, Beijing 100049 |
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