考虑库仑张量相互作用的带Eckart势的空间相关质量Dirac方程的束缚态
Bound states of spatially dependent mass Dirac equation with the Eckart potential including Coulomb tensor interaction
摘要:
利用参数化Nikiforov-Uvarov方法,研究了Eckart势场中包含库仑张量相互作用的质量依赖粒子的Dirac方程的近似解.对离心项作适当的近似处理,得到了狄拉克能态和相应的波函数的归一化二旋量分量的封闭形式.我们的解决方案的一些特殊情况进行了调查。此外,我们提出了正确的解决方案,通过渐近迭代方法,这是一致的参数Nikiforov-Uvarov方法的结果。
英文摘要:
We investigate the approximate solutions of the Dirac equation with the position-dependent mass particle in the Eckart potential field including the Coulomb tensor interaction by using the parametric Nikiforov-Uvarov method. Taking an appropriate approximation to deal with the centrifugal term, the Dirac energy states and the corresponding normalized two-spinor components of the wave function are obtained in closed form. Some special cases of our solution are investigated. Furthermore, we present the correct solutions obtained via the asymptotic iteration method which are in agreement with the parametric Nikiforov-Uvarov method results.
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