Abstract

In this paper, the solutions of the D+1-dimensional Dirac equation in the presence of the Morse potential are investigated by using the supersymmetric quantum mechanics and shape invariance theory with spin symmetry. The bound state energy spectrum and the ground state wave function are calculated by supersymmetry approach. Also, it is shown that the energy spectrum and vibrational energy eigenvalue at the critical point can be obtained by a numerical method which is called the asymptotic iteration method. The \(X^2\Sigma ^+\) state of the CP and \(X^1\Sigma ^+\) state of the \(SiF^+\) molecules are considered, and their relativistic energy eigenvalues are studied.

Graphic Abstract

中文翻译：

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具有莫尔斯电势的双原子分子的D + 1维Dirac方程的解

摘要

本文利用超对称量子力学和具有自旋对称性的形状不变性理论研究了存在莫尔斯电势时D + 1维狄拉克方程的解。用超对称方法计算了束缚态能谱和基态波函数。另外，示出了可以通过称为渐近迭代法的数值方法来获得临界点处的能谱和振动能本征值。的\（X ^ 2 \西格玛^ + \）的状态CP和\（X ^ 1 \西格玛^ + \）的状态\（SIF ^ + \）分子被认为是，和它们的相对论能量本征值进行了研究。

图形摘要