Approximate Dirac solutions of a complex parity-time-symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
Abstract
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) = +/- V(r) (i.e. exact spin and p-spin symmetries).
- Publication:
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Physica Scripta
- Pub Date:
- October 2012
- DOI:
- 10.1088/0031-8949/86/04/045002
- arXiv:
- arXiv:1208.4960
- Bibcode:
- 2012PhyS...86d5002I
- Keywords:
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- Quantum Physics;
- Mathematical Physics
- E-Print:
- 22 pages