| Iterative solutions for low lying excited states of a class of SchrSdinger equation |
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| 作者姓名： | R.Friedberg 李政道 赵维勤 |
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| 作者单位： | Physics Department, Columbia University, New York, NY 10027, USA;Physics Department, Columbia University, New York, NY 10027, USA;China Center of Advanced Science and Technology (CCAST/World Laboratory), Beijing 100080, China;China Center of Advanced Science and Technology (CCAST/World Laboratory), Beijing 100080, China
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100039, China |
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| 基金项目： | This research was supported in part by
the U.S. Department of Energy (Grant No DE-FG02-92ER-40699) and the
National\linebreak \makebox[1.6mm]{}Natural Science Foundation of China (Grant No
10547001). |
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| 摘 要： |
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| 关 键 词： | 迭代解 低阶兴奋态 收敛 Schrodinger方程 |
| 收稿时间： | 2006-07-12 |
| 修稿时间： | 2006-07-122006-07-14 |
Iterative solutions for low lying excited states of a class of Schr?dinger equation |
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| Friedberg R.,Lee T. D. and Zhao Wei-Qin.Iterative solutions for low lying excited states of a class of SchrSdinger equation[J].Chinese Physics B,2006,15(9):1909-1913. |
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| Authors: | Friedberg R Lee T D and Zhao Wei-Qin |
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| Institution: | 1.Physics Department, Columbia University, New York, NY 10027, USA; 2. China Center of Advanced Science and Technology (CCAST/World Laboratory |
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| Abstract: | The convergent iterative procedure for solving the groundstate Schr?dinger
equation is extended to derive the excitation energy and the wavefunction of the
low-lying excited states. The method is applied to the one-dimensional quartic
potential problem. The results show that the iterative solution converges rapidly
when the coupling g is not too small. |
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| Keywords: | iterative solution low-lying excited state convergence |
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