Algebraic Treatment of Scattering via the Manning-Rosen Potential Related to the SO(2, 1) Group

Authors : Nurşen SEÇKİN GÖRGÜN and Fikret IŞIK

Pages : 179-190

Doi:10.3906/tar-1203-3

View : 48 | Download : 9

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this study, we consider SOinsert ignore into journalissuearticles values(2,1); \supset SOinsert ignore into journalissuearticles values(1,1); subgroup reduction from one dimensional scattering systems related to SOinsert ignore into journalissuearticles values(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 SOinsert ignore into journalissuearticles values(2,1); \supset SOinsert ignore into journalissuearticles values(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