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Approximate Dirac Solutions of a Complex Parity–Time-Symmetric Pöschl–Teller Potential In View of Spin and Pseudospin Symmetries

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Thu, 2013-09-12 10:55 — Sameer. Ikhdair
Journal Title, Volume, Page: 
Phys. Scr. 86, 045002, 11pp
Year of Publication: 
2012
Link: 
http://iopscience.iop.org/1402-4896/86/4/045002
Authors: 
Sameer M Ikhdair
Physics Department, Near East University, Nicosia 922022, North Cyprus, Mersin 10, Turkey
Current Affiliation: 
Department of Physics, An-Najah National University, Nablus, Palestine
[email protected]
Majid Hamzavi
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
Preferred Abstract (Original): 

By employing an exponential-type approximation scheme to replace the centrifugal term, we have approximately solved the Dirac equation for a spin-1/2 particle subjected to complex parity–time-symmetric scalar and vector Pöschl–Teller (PT) potentials with arbitrary spin–orbit $\kappa$ -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 hypergeometric functions are obtained by means of wave function analysis. The spin-$\kappa$ Dirac equation and the spin-0 Klein–Gordon equation with complex PT potentials share the same energy spectrum under the choice of $S(r) = \pm V(r)$ (i.e. exact spin and p-spin symmetries).