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)
References in corpus (10)
- Making Sense of Non-Hermitian Hamiltonians
- Equivalence of a Complex $\cP\cT$-Symmetric Quartic Hamiltonian and a Hermitian Quartic Hamiltonian with an Anomaly
- An improved approximation scheme for the centrifugal term and the Hulthen potential
- Exact Solution of the Klein-Gordon Equation for the PT-Symmetric Generalized Woods-Saxon Potential by the Nikiforov-Uvarov Method
- Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles
- Approximate k-state solutions to the Dirac-Yukawa problem based on the spin and pseudospin symmetry
- Effect of Tensor Interaction in the Dirac-Attractive Radial Problem under Pseudospin Symmetry limit
- Relativistic and nonrelativistic bound states of the isotonic oscillator by Nikiforov-Uvarov method
- Approximate bound states of the Dirac equation with some physical quantum potentials
- Electron and Spin Transport in the Presence of Complex Absorbing Potential