The Relativistic Bound States of a Non Central Potential

Abstract

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

20 pages, 12 figures

References in corpus (4)

• Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
• Polynomial Solution of Non-Central Potentials
• Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit
• Exact solutions of a spatially-dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method

Cited by in corpus (1)

• Eigenspectra and Statistical Properties of the Klein-Gordon Equation with Cornell Potential: Unequal Mixings of Scalar and Time-Like Vector Potentials