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arXiv · 1208.4960

Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries

Sameer M. Ikhdair·Majid Hamzavi
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Abstract

By employing an exponential-type approximation scheme to replace the centrifugal term, we have approximately solved the Dirac equation for spin- particle subject to the complex -symmetric scalar and vector Pöschl-Teller (PT) potentials with arbitrary spin-orbit -wave states in view of spin and pseudospin (p-spin) symmetries. The real bound-state energy eigenvalue equation and the corresponding two-spinor components wave function expressible in terms of the hypergeometric functions are obtained by means of the wave function analysis. The spin- Dirac equation and the spin- Klein-Gordon (KG) equation with the complex Pöschl-Teller potentials share the same energy spectrum under the choice of (i.e., exact spin and p-spin symmetries).

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Sameer M. Ikhdair, Majid Hamzavi. 2012-08-24. Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries. https://doi.org/10.1088/0031-8949%2F86%2F04%2F045002

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