一类新型非中心势的Dirac方程束缚态解

Bound State Solutions of the Dirac Equation with a New Noncentral Potential

应用Nikiforov-Uvarov方法求解了一类新型非中心势的Dirac方程的束缚态.在标量势等于矢量势的条件下,得到了Dirac方程的能量解析表达式.已经知道系统角量波函数的解呈现Jacobi多项式的形式,而径向波函数由广义Laguerre多项式给出.讨论了特定参数条件下系统能量的非相对论极限.

The bound state solutions of the Dirac equation with a new noncentral potential are presented by using the Nikiforov-Uvarov method. Under the condition of the equal scalar and vector potentials, the energyspectrum of the Dirac equation are obtained. It is found that the solutions of angular wave function can be expressed by Jacobi polynomials and the radial wave functions are given by the generalized Laguerre polynomials. The nonrelativistic limit of the energy spectrum have been discussed for special cases.