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11 papers · 1 filter
Exact Spin and Pseudo-Spin Symmetric Solutions of the Dirac-Kratzer Problem with a tensor potential via Laplace Transform Approach
Altug Arda, Ramazan Sever
Exact bound state solutions of the Dirac equation for the Kratzer potential in the presence of a tensor potential are studied by using the Laplace transform approach for the cases…
Comments on "On the Consistency of the Solutions of the Space Fractional Schrödinger Equation" [J. Math. Phys. 53, 042105 (2012)]
Selçuk Ş. Bayin
Recently we have reanalyzed the consistency of the solutions of the space fractional Schrödinger equation found in a piecewise manner, and showed that an exact and a proper treatme…
Effective-Mass Dirac Equation for Woods-Saxon Potential: Scattering, Bound States and Resonances
Oktay Aydoğdu, Altug Arda, Ramazan Sever
Approximate scattering and bound state solutions of the one-dimensional effective-mass Dirac equation with the Woods-Saxon potential are obtained in terms of the hypergeometric-typ…
Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
Sameer M. Ikhdair, Ramazan Sever
A nonpolynomial one-dimensional quantum potential in the form of an isotonic oscillator (harmonic oscillator with a centripetal barrier) is studied. We provide the non-relativistic…
Approximate Analytical Solutions of a Two-Term Diatomic Molecular Potential with Centrifugal Barrier
Altug Arda, Ramazan Sever
Approximate analytical bound state solutions of the radial Schrödinger equation are studied for a two-term diatomic molecular potential in terms of the hypergeometric functions for…
On the Consistency of the Solutions of the Space Fractional Schrödinger Equation
Selcuk S. Bayin
Recently it was pointed out that the solutions found in literature for the space fractional Schrödinger equation in a piecewise manner are wrong, except the case with the delta pot…