ödinger with more general exponential screened coulomb (MGESC), Yukawa po'/> Bound State Solutions of the Schr?dinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method
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首页> 外文期刊>Journal of Quantum Information Science >Bound State Solutions of the Schr?dinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method
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Bound State Solutions of the Schr?dinger Equation for the More General Exponential Screened Coulomb Potential Plus Yukawa (MGESCY) Potential Using Nikiforov-Uvarov Method

机译：使用Nikiforov-Uvarov方法对更一般的指数筛选库仑势加上Yukawa（MGESCY）势的Schr？dinger方程的束缚态解

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摘要

The solutions of the Schr style="color:#333333;font-family:"font-size:13px;white-space:normal;background-color:#FFFFFF;">ödinger with more general exponential screened coulomb (MGESC), Yukawa potential (YP) and the sum of the mixed potential (MGESCY) have been presented using the Parametric Nikiforov-Uvarov Method (pNUM). The bound state energy eigenvalues and the corresponding un-normalized eigenfunctions expressed in terms of hypergeometric functions were obtained. Some derived equations were used to calculate numerical values for MGESC, YP, and MGESCY potentials for diatomic molecules with different screening parameters ( style="font-family:Verdana;font-size:12px;">α style="font-family:Verdana;">) for style="font-family:Verdana;font-size:12px;">l style="font-family:Verdana;"> = 0 and style="font-family:Verdana;font-size:12px;">l style="font-family:Verdana;"> = 1 state with style="font-family:Verdana;font-size:12px;">V style="font-family:Verdana;">0 style="font-family:Verdana;"> = 2.75 MeV and style="font-family:Verdana;font-size:12px;">V style="font-family:Verdana;">1 style="font-family:Verdana;"> = 2.075 MeV. We observed an increase in l value; the particles behave more repulsive than attractive. The numerical values for different l-states at different screening parameters for CO molecules ( style="font-family:Verdana;font-size:12px;">r style="font-family:Verdana;"> = 1.21282) and NO molecule ( style="font-family:Verdana;font-size:12px;">r style="font-family:Verdana;"> = 1.1508) were obtained using the bound state energy eigenvalue of the Schrodinger equation for MGESC, YP and MGESCY potentials. Potential variation with intermolecular distance ( style="font-family:Verdana;font-size:12px;">r style="font-family:Verdana;">) for some of the particles moving under the influence of MGESC, Yukawa and the mixed potential (MGESCY) were also studied. We also observed the variation of the MGESC potential with the radial distance of separation between the interacting particles ( style="font-family:Verdana;font-size:12px;">r style="font-family:Verdana;">) for different screening parameters ( style="font-family:Verdana;font-size:12px;">α style="font-family:Verdana;">) with style="font-family:Verdana;font-size:12px;">V style="font-family:Verdana;">0 style="font-family:Verdana;"> = 2.75 MeV at style="font-family:Verdana;font-size:12px;">l style="font-family:Verdana;">= 0 and style="font-family:Verdana;font-size:12px;">l style="font-family:Verdana;"> = 1 and YP with style="font-family:Verdana;font-size:12px;">V style="font-family:Verdana;">1 style="font-family:Verdana;"> = 2.075 MeV at style="font-family:Verdana;font-size:12px;">l style="font-family:
机译：Schr style =“ color：＃333333; font-family：” font-size：13px; white-space：normal; background-color：#FFFFFF;“>ö dinger的解决方案更为通用使用参数Nikiforov-Uvarov方法（pNUM）给出了指数筛选的库仑（MGESC），汤川势（YP）和混合势之和（MGESCY）。束缚态能量本征值和相应的未归一化本征函数表示为获得了超几何函数的项，并使用一些导出的方程来计算具有不同筛选参数的双原子分子的MGESC，YP和MGESCY势的数值（的“”> style =“ font-family：Verdana; font-size：12px;”>α style =“ font-family：Verdana;”>） style =” font-family：Verdana; font-size：12px;“> l < span style =“ font-family：Verdana;”> = 0和 < span style =“ font-family：Verdana; font-size：12px;”> l style =“ font-family：Verdana;”> = 1个状态为 style =” font-family：Verdana; font-size：12px;“> V style =” font-family：Verdana;“> 0 style =” font-family：Verdana;“> = 2.75 MeV和 style =” font-family：Verdana; font-size：12px;“> V style =” font-family：Verdana;“> 1 style =” font- family：Verdana;“> ＝ 2.075MeV。我们观察到l值增加;颗粒表现出比吸引人更多的排斥力。 CO分子在不同筛选参数下不同l状态的数值（ style =” font-family： Verdana; font-size：12px;“> r style =” font-family：Verdana;“> = 1.21282）和NO分子（ style =“ font-family：Verdana; font-size：12px;”> r style =“ font-family ：Verdana;“> = 1.1508）使用MGESC，YP和MGESCY势的薛定inger方程的束缚态能量本征值获得。分子间距离的潜在变化（ style =” font-family：Verdana; font-size：12px;“> r style =“ font-family：Verdana;”>），还研究了在MGESC，Yukawa和混合势（MGESCY）的影响下运动的一些粒子。 MGESC电位随相互作用粒子之间的径向间隔距离的变化（ style =” font-family ：Verdana; font-size：12px;“> r style =” font-family：Verdana;“>），用于不同的筛选参数（ style =“ font-family：Verdana; font-size：12px;”>α style =“ font-family ：Verdana;“>）和 style =“ font-family：Verdana; font-size：12px;” > V style =” font-family：Verdana;“> 0 style =” font-family：Verdana;“> = 2.75 MeV at style =” font-family：Verdana; font-size：12px;“> l style =“ font-family：Verdana;”> = 0和 style =” font-family：Verdana; font -size：12px;“> l style =” font-family：Verdana;“> = 1和带有 style =” font-family：Verdana; font-size：12px;“> V style =” font-family：Verdana;“> 1 style =” font-family：Verdana;“> = style =” font-family：Verdana; font-size：12px;“> l style =“ font-family：

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