| Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series |
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| 引用本文： | 胡先权,LUO Guang,MA Yan,CUEI Li-peng. Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series[J]. 原子与分子物理学报, 2007, 24(Z1): 39-44 |
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| 作者姓名： | 胡先权 LUO Guang MA Yan CUEI Li-peng |
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| 作者单位： | College of |
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| 基金项目： | 国家自然科学基金;重庆市自然科学基金;重庆教委基础研究基金 |
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| 摘 要： | The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh Schrdinger perturbation theory and the power series;meanwhile,the corresponding recurrence relations are got with the use of the solution of power series.Basic on mentioned above and with the use of energy consistent method,the equivalent value of second-order revision in condition of the Debye shielding potential as well be got and the result is compared with the data obtained by the numerical method.Beside,the critical bond-state and corresponding cut off of conditions are discussed.
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| 文章编号： | 1000-0364(2007)增刊-039-06 |
Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series |
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| HU Xian-quan,LUO Guang,MA Yan,CUEI Li-peng. Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series[J]. Journal of Atomic and Molecular Physics, 2007, 24(Z1): 39-44 |
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| Authors: | HU Xian-quan LUO Guang MA Yan CUEI Li-peng |
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| Abstract: | The first-order revision and the approximation analytical formula of the energy levels for hydrogen-like atoms in condition of the Debye shielding potential are achieved by means of the Rayleigh―Schrdinger perturbation theory and the power series;meanwhile,the corresponding recurrence relations are got with the use of the solution of power series. Basic on mentioned above and with the use of energy consistent method, the equivalent value of second-order revision in condition of the Debye shielding potential as well be got and the result is compared with the data obtained by the numerical method. Beside, the critical bond-state and corresponding cut off of conditions are discussed. |
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| Keywords: | Debye shielding potential recurrence relations energy consistent method critical bond-state |
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