Relativistic symmetries with the trigonometric Poschl-Teller potential plus Coulomb-like tensor interaction
Falaye, Babatunde J.
Relativistic symmetries with the trigonometric Poschl-Teller potential plus Coulomb-like tensor interaction Babatunde J. Falaye, Sameer M. Ikhdair - Iop Publıshıng Ltd 2013.
The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Poschl-Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number kappa using an approximation scheme to substitute the centrifugal terms kappa(kappa +/- 1)r(-2). In view of spin and pseudo- spin (p-spin) symmetries, the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method (AIM). We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and kappa. The non-relativistic limit is also obtained.
1674-1056
000321552000015
Near East University Article
Yakın Doğu Üniversitesi Makale
Dirac equation
tensor interaction
QC23
Relativistic symmetries with the trigonometric Poschl-Teller potential plus Coulomb-like tensor interaction Babatunde J. Falaye, Sameer M. Ikhdair - Iop Publıshıng Ltd 2013.
The Dirac equation is solved to obtain its approximate bound states for a spin-1/2 particle in the presence of trigonometric Poschl-Teller (tPT) potential including a Coulomb-like tensor interaction with arbitrary spin-orbit quantum number kappa using an approximation scheme to substitute the centrifugal terms kappa(kappa +/- 1)r(-2). In view of spin and pseudo- spin (p-spin) symmetries, the relativistic energy eigenvalues and the corresponding two-component wave functions of a particle moving in the field of attractive and repulsive tPT potentials are obtained using the asymptotic iteration method (AIM). We present numerical results in the absence and presence of tensor coupling A and for various values of spin and p-spin constants and quantum numbers n and kappa. The non-relativistic limit is also obtained.
1674-1056
000321552000015
Near East University Article
Yakın Doğu Üniversitesi Makale
Dirac equation
tensor interaction
QC23