Approximate Solutions of Schrödinger Equation under Manning-Rosen Potential in Arbitrary Dimension via SUSYQM

• Authors: H. Hassanabadi , L. Lu , S. Zarrinkamar , G. Liu , H. Rahimov
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

03.65.Ge; 02.30.Gp; 03.65.-w; 34.20.Cf

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 34.20.Cf: Interatomic potentials and forces
• 03.65.Ge: Solutions of wave equations: bound states
• 02.30.Gp: Special functions

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 4
• Pages: 650-654

Dates

published

2012-10

received

2011-09-16

(unknown)

2012-06-12

(unknown)

2012-06-21

Contributors

author

H. Hassanabadi

• Physics Department, Shahrood University of Technology, Shahrood, Iran

author

L. Lu

• Department of Physics, College of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China

author

S. Zarrinkamar

• Department of Basic Sciences, Garmsar Branch, Islamic Azad University, Garmsar, Iran

author

G. Liu

• Department of Physics, College of Physics and Electronic Engineering, Guangzhou University, Guangzhou 510006, China

author

H. Rahimov

• Computer Engineering Department, Shahrood University of Technology, Shahrood, Iran

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Identifiers

DOI

10.12693/APhysPolA.122.650