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Open Quantum Systems Decoherence
Quantum Simulation
Dirac Equation with Spin Symmetry for the Modified Pöschl-Teller Potential in D-dimensions
arXiv
Authors: D. Agboola
Year
2010
Paper ID
10656
Status
Preprint
Abstract Read
~2 min
Abstract Words
79
Citations
N/A
Abstract
We present solutions of the Dirac equation with spin symmetry for vector and scalar modified Pöschl-Teller potential within framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the Nikiforov-Uvarov method and the two-component spinor wavefunctions are obtain are in terms of the Jacobi polynomials. It is found that there exist only positive-energy states for bound states under spin symmetry, and the energy levels increase with the dimension and the potential range parameter α.
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- We present solutions of the Dirac equation with spin symmetry for vector and scalar modified Pöschl-Teller potential within framework of an approximation of the centrifugal term.
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