Approximate Dirac solutions of complex -symmetric Pöschl-Teller potential in view of spin and pseudospin symmetries
arXiv:1208.4960 · doi:10.1088/0031-8949/86/04/045002
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).
22 pages; 10 figures, to appear in Physica Scripta (2012)
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Cited by in corpus (4)
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- Approximate Analytical Solutions to Relativistic and Nonrelativistic Pöschl-Teller Potential with its Thermodynamic Properties
- Any J-state solution of the DKP equation for a vector deformed Woods-Saxon potential
- Approximate solution of the Duffin-Kemmer-Petiau equation for a vector Yukawa potential with arbitrary total angular momenta