Eyube E S, Notani P P, Onate C A, Wadata U, Omugbe E, Bitrus B M, Najoji S D
Department of Physics, Faculty of Physical Sciences, Modibbo Adama University, P.M.B. 2076, Yola, Adamawa State, Nigeria.
Department of Pure and Applied Sciences, Taraba State Polytechnic, Suntai, P.M.B. 1030, Jalingo, Taraba State, Nigeria.
Heliyon. 2023 Oct 10;9(10):e20848. doi: 10.1016/j.heliyon.2023.e20848. eCollection 2023 Oct.
In this paper, the bound state solutions of the radial Schrödinger equation are obtained in closed form under an improved Scarf II potential energy function (ISPEF) constrained by external magnetic and Aharonov-Bohm (AB) flux fields. By constructing a suitable Pekeris-like approximation scheme for the centrifugal barrier, approximate analytical expressions for the bound-states and thermal partition function were obtained. With the aid of the partition function, an explicit equation for magnetization at finite temperatures is developed. The obtained equations were then applied to calculate the energy levels and magnetic properties of Li (2 Π), K (X Σ), Mg (X Σ) and NaBr (X Σ) diatomic molecules. The obtained numerical results of the vibrational energies for these molecules were found to be in good agreement with theoretic and experimental values reported in the existing literature. The results indicated that by turning off the magnetic and AB fields, the energy levels of the diatomic molecules degenerate. The results further revealed that an increase in the temperature of the molecules and the AB field strengths leads to a linear decrease in magnetization.
本文在由外部磁场和阿哈罗诺夫 - 玻姆（AB）磁通场约束的改进斯卡夫II势能函数（ISPEF）下，以封闭形式获得了径向薛定谔方程的束缚态解。通过为离心势垒构建合适的类佩克里斯近似方案，得到了束缚态和热配分函数的近似解析表达式。借助配分函数，推导了有限温度下磁化强度的显式方程。然后将所得方程应用于计算Li（2Π）、K（XΣ）、Mg（XΣ）和NaBr（XΣ）双原子分子的能级和磁性。发现这些分子振动能量的数值结果与现有文献报道的理论值和实验值吻合良好。结果表明，关闭磁场和AB场时，双原子分子的能级简并。结果还进一步表明，分子温度和AB场强的增加导致磁化强度线性下降。
