Solutions to the modified Poschl-Teller Potential in D-dimensions

Details Solutions to the modified Poschl-Teller Potential in D-dimensions Solutions to the modified Poschl-Teller Potential in D-dimensions

2008-11-21

arxiv.org/abs/0811.3613v3

CHIN. PHYS. LETT. Vol. 27, No. 4 (2010) 040301

Physics

Mathematical Physics

18 Pages

Scientific paper

An approximate solution of the $D$-dimensional Schr$\ddot{o}$dinger equation with the modified P$\ddot{o}$schl-Teller potential is obtained with an approximation of the centrifugal term. Solution to the corresponding hyper-radial equation is given using the conventional Nikiforov-Uvarov method. The normalization constants for the P$\ddot{o}$schl-Teller potential are also computed. The expectation values $$,$$, are also obtained using the Feynman-Hellmann theorem.

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