- Turkish Journal of Physics
- Vol: 31 Issue: 4
- Algebraic Treatment of Scattering via the Manning-Rosen Potential Related to the SO(2, 1) Group
Algebraic Treatment of Scattering via the Manning-Rosen Potential Related to the SO(2, 1) Group
Authors : Nurşen Seçkin Görgün And Fikret Işik
Pages : 179-190
Doi:10.3906/tar-1203-3
View : 10 | Download : 5
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In this study, we consider SO(2,1) \supset SO(1,1) subgroup reduction from one dimensional scattering systems related to 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) \supset SO(1,1). The wave function and the scattering matrix of the system with this potential were determined.Keywords : Algebraic approach, Manning Rosen potential, Natanzon potentials, One-dimensional scattering, Scattering theory