标题： 伪自旋和自旋对称性解的狄拉克方程：赫尔曼势，魏华势，瓦什尼势 显示英文标题

标题： Pseudospin and Spin Symmetric Solutions of Dirac Equation: Hellmann Potential, Wei Hua Potential, Varshni Potential

摘要： 对于具有狄拉克方程赝自旋和自旋对称性的情况，获得了狄拉克方程在任何$\kappa$值下对 Hellmann 势、Wei Hua 势和 Varshni 势的近似解析解。通过使用 Nikiforov-Uvarov 方法得到了能量本征值方程和旋波函数的闭合形式，并给出了一些表格以观察能量本征值对不同量子数对 ($n, \kappa$) 的依赖性。 显示英文摘要

摘要： Approximate analytical solutions of the Dirac equation are obtained for the Hellmann potential, Wei Hua potential and Varshni potential with any $\kappa$-value for the cases having the Dirac equation pseudospin and spin symmetries. Closed forms of the energy eigenvalue equations and the spinor wave functions are obtained by using the Nikiforov-Uvarov method and some tables are given to see the dependence of the energy eigenvalues on different quantum number pairs ($n, \kappa$).