Bound State Solutions of the Schr?dinger Equation for a More General Woods–Saxon Potential with Arbitrary <em>l</em>-State

doi:10.1088/0256-307X/29/9/090302

Chin. Phys. Lett.

2012, Vol. 29

Issue (9): 090302 DOI: 10.1088/0256-307X/29/9/090302

GENERAL

Bound State Solutions of the Schr?dinger Equation for a More General Woods–Saxon Potential with Arbitrary l-State

Akpan N. Ikot^1**, Ita O. Akpan²

¹Theoretical Physics Group, Department of Physics, University of Uyo, Nigeria
²Department of Physics, University of Calabar, Nigeria

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Akpan N. Ikot, Ita O. Akpan 2012 Chin. Phys. Lett. 29 090302

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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 the 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.

Received: 25 May 2012 Published: 01 October 2012

PACS:	03.65.Ge	(Solutions of wave equations: bound states)
	03.65.-w	(Quantum mechanics)
	03.65.Fd	(Algebraic methods)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/9/090302 OR https://cpl.iphy.ac.cn/Y2012/V29/I9/090302

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	Akpan N. Ikot
	Ita O. Akpan

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