摘要
Exact solutions of the Dirac equation are studied for the pseudo-harmonic oscillatory ring-shaped potential by using the Laplace transform approach and the Nikiforov–Uvarov(NU)method.The normalized eigenfunctions are expressed in terms of hyper-geometric series and use the NU and Laplace methods to obtain the eigenvalues equations.The obtained result of the eigenvalue equation is compared.At the end,one can find with a simple transformation the lower spinor component of the Dirac equation.