The quadratic plus the tensor potentials for particle with 1/2‐spin via L2 method under the spin symmetry

In the present letter, the relativistic equation for particle 1/2‐spin have been obtained for the quadratic scalar and vector potentials in the presence of the tensor interaction that depends on the radial component either linearly and inversely. Under the spin symmetry, the relativistic equation is calculated by using the idea of L² that supports a tridiagonal matrix representation of the wave operator. By this requirement, the relativistic energy spectrum and corresponding spinor wave functions are obtained. Also, the obtained analytically result is compared with other results that are in good agreement. Some of the numerical results are given, too. Copyright © 2015 John Wiley & Sons, Ltd.