赝库仑势加新环形势的Dirac方程的精确解
Exactsolutions to the Dirac equation with pseudo Coulomb potential plus a new ring shaped potential

在标量势和矢量势相等的条件下, 利用Nikiforov Uvarov方法给出了赝库仑势加新环型势Dirac方程的束缚态解和能谱方程. 结果表明, 径向波函数可用合流超几何函数表示, 其角向波函数可用广义连带Legendre多项式表示.
We present exact solutions of the Dirac equation with equal vector and scalar potentials for pseudo Coulomb potential plus a new ring shaped potential. The Nikiforov Uvarov method is used to obtain analytical solutions of radial and angular wave functions of the Dirac equation. Simultaneously, energy spectrum equations are also obtained. It is shown that the radial and angular wave functions are respectively expressed by confluent hypergeogetric and universal associated Legendre functions