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arxiv: 1108.1018 · v1 · pith:SXQYADMOnew · submitted 2011-08-04 · 🪐 quant-ph · math-ph· math.MP

Bound State Solutions of Schr\"odinger Equation for a more general Woods-Saxon Potential with Arbitrary l - state

classification 🪐 quant-ph math-phmath.MP
keywords potentialsspecialstatewavewoods-saxonarbitrarycasesenergy
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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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