Algebraic treatment of scattering via the Manning- Rosen potential related to the SO (2,1) group

Özet

In this study, we consider SO(2,1) ⊃ SO(1,1) subgroup reduction from one dimensional scattering systems relatedt o SO(2,1). As an analytical application, we show via algebraic approach the Manning- Rosen potential belongs to the class of potentials corresponding to the reduction SO(2,1) ⊃ SO(1,1). The wave function and the scattering matrix of the system with this potential were determined.