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

Sameer M. Ikhdair, Majid Hamzavi

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 Poschl-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 Poschl-Teller potentials share the same energy spectrum under the choice of (i.e., exact spin and p-spin symmetries).

http://arxiv.org/abs/1208.4960
Quantum Physics (quant-ph); Mathematical Physics (math-ph)

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