包括改进的轨道离心项近似的Manning-Rosen势的束缚态解
On the bound-state solutions of the Manning-Rosen potential including improved approximation to the orbital centrifugal term
摘要：
采用一种新的轨道离心项近似方案，得到了Manning-Rosen势的薛定谔方程的束缚态近似解析解.计算中使用Nikiforov-Uvarov方法。对于不同的屏蔽参数1/b，我们得到了能量本征值和相应的归一化波函数的Jacobi多项式或超几何函数的解析形式。计算了几个双原子分子在任意量子数n和l，不同势参数α值下的转动-振动能态.本数值计算结果与以前报道的不同1/b值的结果在五位小数以内一致。研究了s波（l=0）Manning-Rosen势和Hulthén势的几种特殊情况。关键词：能量本征值; Manning-Rosen势; Nikiforov-Uvarov方法;近似格式。03.65.- w; 02.30.Gp; 03.65.Ge; 34.20.Cf
英文摘要：
The approximate analytical bound state solution of the Schrödinger equation for the Manning-Rosen potential is carried out by taking a new approximation scheme to the orbital centrifugal term. The Nikiforov-Uvarov method is used in the calculations. We obtain analytic forms for the energy eigenvalues and the corresponding normalized wave functions in terms of the Jacobi polynomials or hypergeometric functions for different screening parameters 1/b. The rotational-vibrational energy states for a few diatomic molecules are calculated for arbitrary quantum numbers n and l with different values of the potential parameter α. The present numerical results agree within five decimal digits with the previously reported results for different 1/b values. A few special cases of the s-wave (l=0) Manning-Rosen potential and the Hulthén potential are also studied. Keywords: Energy eigenvalues; Manning-Rosen potential; Nikiforov-Uvarov method, Approximation schemes. 03.65.-w; 02.30.Gp; 03.65.Ge; 34.20.Cf
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
