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Solution of the level of approximation analytic formula of hydrogen-like atom for the Debye shielding potential by means of the power series

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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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 Schrdinger 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. 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 Schrodinger 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.
作者 胡先权
出处 《原子与分子物理学报》 CAS CSCD 北大核心 2007年第B08期39-44,共6页 Journal of Atomic and Molecular Physics
基金 国家自然科学基金(10575140) 重庆市科委自然科学基金(2005BB8267) 重庆教委基础研究基金(KJ060813)
关键词 屏蔽势能 循环关系 能量一致性 临界状态 Debye shielding potential, recurrence relations, energy consistent method, critical bond-state
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参考文献11

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