Turkish Journal of Physics
DOI
-
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
First Page
179
Last Page
190
Recommended Citation
GÖRGÜN, NURŞEN SEÇKİN and IŞIK, FİKRET (2007) "Algebraic Treatment of Scattering via the Manning-Rosen Potential Related to the SO(2, 1) Group," Turkish Journal of Physics: Vol. 31: No. 4, Article 1. Available at: https://journals.tubitak.gov.tr/physics/vol31/iss4/1