Bound State Solutions of Schrödinger Equation for a more general Woods-Saxon Potential with Arbitrary l - state

2011/08/04 by A. N. Ikot, Akpan Ndem Ikot, Ikot, Akpan Ndem +3
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1108.1018

10pages, no figures

arxiv created 2011/08/04 · arxiv updated 2011/08/20

Abstract

The energy spectra and the wave function depending on the c-factor are investigated for a more general Woods-Saxon potential (MGWSP) with an arbitrary l - state. The wave functions are expressed in terms of the Jacobi polynomials. Two potentials are obtained from this MGWSP as special cases. These special potentials are Hulthen and the standard Woods-Saxon potentials. We also discuss the energy spectrum and wave function for the special cases.

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