Approximate Solutions of Schrödinger Equation under Manning-Rosen Potential in Arbitrary Dimension via SUSYQM
H. Hassanabadia, L.L. Lub, S. Zarrinkamarc, G.H. Liub and H. Rahimovd
aPhysics Department, Shahrood University of Technology, Shahrood, Iran
bDepartment of Physics, College of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China
cDepartment of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran
dComputer Engineering Department, Shahrood University of Technology, Shahrood, Iran
Received: September 16, 2011; revised version June 12, 2012; in final form June 21, 2012
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The Schrödinger equation under the Manning-Rosen potential is solved in arbitrary dimension via the quantum mechanical idea of supersymmetry. The Pekeris approximation is used to overcome the inconsistency of the potential with the centrifugal term. Comments on the energy eigenvalue behavior versus dimension are included. The inter-dimensional degeneracy for various orbital quantum number l and dimensions D are studied. The expectation values of some physical parameters are reported via the Feynman-Hellmann theorem.
DOI: 10.12693/APhysPolA.122.650
PACS numbers: 03.65.Ge, 02.30.Gp, 03.65.-w, 34.20.Cf