Abstract

Solving the Dirac equation with equal Eckart scalar and vector potentials in terms of the supersymmetric quantum mechanics method, shape invariance approach and the function analysis method, we obtain the exact energy equation for the s-wave bound states. It has been shown that the energy equation and spinor wavefunction expressions for the Eckart potential include the energy equations and corresponding spinor wavefunctions for the Hulthén potential, generalized Morse potential and attractive radial potential.

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