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We investigate the relativistic effects of a moving particle in the field ofa pseudo-harmonic oscillatory ring-shaped potential under the spin andpseudo-spin symmetric Dirac wave equation. We obtain the bound state energyeigenvalue equation and the corresponding two-components spinor wave functionsby using the formalism of Suppersymmetric Quantum Mechanics (SUSYQM).Furthermore, the non-relativistic limits are obtained by simply making a properreplacement of parameters. The thermodynamic properties are shortly studied.Our numerical results for the energy eigenvalues are presented too.

The Relativistic Bound States of a Non Central Potential