论文标题
具有Manning-Rosen的Klein-Gordon方程的任意$ \ Ell $ - 国家解决方案以及一类Yukawa的潜力
Arbitrary $\ell$-state solutions of the Klein-Gordon equation with the Manning-Rosen plus a Class of Yukawa potentials
论文作者
论文摘要
为了关注改进的近似方案，我们提出了如何处理离心和库仑行为项，然后与Manning-Rosen以及一类Yukawa的潜力获得Klein-Gordon（kg）方程的界面解决方案。通过Nikiforov-Uvarov（NU）和超对称量子力学（SUSYQM）方法，我们就任何$ \ ell $ state的能量光谱以及相应的径向波函数就超角度函数表示。从这两种方法中，我们都能获得相同的结果。还讨论了一些对其他物理系统有用的特殊情况。这些与以前的工作中的结果一致。我们得到的是，在其他参数的固定值下，能量水平$ e $对潜在参数$δ$敏感，并且当$δ$从$ 0.05 $到$ 0.3 $时增加。此外，$ e $对给定$δ$的量子数量$ \ ell $和$ n_r $敏感。
Focusing on an improved approximation scheme, we present how to treat the centrifugal and the Coulombic behavior terms and then to obtain the bound state solutions of the Klein-Gordon (KG) equation with the Manning-Rosen plus a Class of Yukawa potentials. By means of the Nikiforov-Uvarov (NU) and supersymmetric quantum mechanics (SUSYQM) methods, we present the energy spectrum for any $\ell$-state and the corresponding radial wave functions in terms of the hypergeometric functions. From both methods we obtain the same results. Several special cases for the potentials which are useful for other physical systems are also discussed. These are consistent with those results in previous works. We obtain that the energy level $E$ is sensitive to the potential parameter $δ$ at fixed values of other parameters and increases when $δ$ runs from $0.05$ to $0.3$. Furthermore, $E$ is sensitive to the quantum numbers $\ell$ and $n_r$ for a given $δ$, as expected.
