Tensor coupling and relativistic spin and pseudospin symmetries of the Pöschl–Teller-like potential
محورهای موضوعی : Journal of Theoretical and Applied Physics
H. Tokmehdashi
1
(Department of Physics, Shahrood University of Technology)
A. A. Rajabi
2
(Department of Physics, Shahrood University of Technology)
M. Hamzavi
3
(Department of Physics, University of Zanjan)
کلید واژه: Dirac equation, Spin symmetry, Pseudospin symmetry, Pöschl–Teller, like potential, Coulomb, like tensor potential, Supersymmetric quantum mechani,
چکیده مقاله :
AbstractIn this research, we have been obtained the Dirac equation for second Pöschl–Teller-like potential including a Coulomb-like tensor interaction with arbitrary spin–orbit coupling quantum number κ. Under the condition of spin and pseudospin (p-spin) symmetries, we use the basic concept of the supersymmetric shape invariance formulism in quantum mechanics and the function analysis method to obtain energy eigenvalues and corresponding two-component spinors of the Dirac particle. We have also shown that tensor interaction removes degeneracies between spin and p-spin doublets. Some numerical results are also given.
