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SUPERSYMMETRIC SOLUTION OF THE SCHRÖDINGER EQUATION FOR WOODS-SAXON POTENTIAL BY USING THE PEKERIS APPROXIMATION.

Authors :
FEIZI, HAMED
RAJABI, ALI AKBAR
SHOJAEI, MOHAMMAD REZA
Source :
Acta Physica Polonica B. Oct2011, Vol. 42 Issue 10, p2143-2152. 10p.
Publication Year :
2011

Abstract

In this work, the three dimensional Woods-Saxon potential is studied within the context of Supersymmetry Quantum Mechanics. We have applied the SUSY method by using the Pekeris approximation to the centrifugal potential l ≠ 0 states. By application of this method, it is possible to solve the Schrödinger equation for this potential. We obtain exactly bound state spectrum and wave function of Woods-Saxon potential for nonzero angular momentum. Hamiltonian hierarchy method and the shape invariance property are used in the calculations. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
05874254
Volume :
42
Issue :
10
Database :
Academic Search Index
Journal :
Acta Physica Polonica B
Publication Type :
Academic Journal
Accession number :
67711727
Full Text :
https://doi.org/10.5506/APhysPolB.42.2143