Unified path integral treatment for generalized Hulthén and Woods–Saxon potentials

Benamira, F.; Guéchi, L.; Mameri, S.; Sadoun, M. A.

doi:10.1016/j.aop.2007.01.011

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Linear Combination Of Hulthén and Inversely Quadratic Yukawa...1

Introduction1

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2010

2024

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Cited by 5 publications

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“…By substituting the new parameters P l and Q l in (30) and (38), we obtain the corresponding energy spectrum and wave functions As in the previous cases, we have to impose the condition Q l < 0 in order to keep the wave function finite when r → ∞.…”

Section: Linear Combination Of Hulthén and Inversely Quadratic Yukawa...mentioning

confidence: 99%

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Non-relativistic bound state solutions of a linear combination of deformed Hulthén plus generalized Kratzer potentials using Feynman path integral approach

Sadoun

Haddad

2023

Preprint

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The approximate bound state solutions of Schrödinger equation with linear combination of a q-deformed Hulthén potential plus screened Kratzer potential were obtained with the help of appropriate approximation to evaluate the centrifugal term. The Feynman path integral approach was used to obtain the analytical solutions. The energy spectrum and the normalized wave functions of the bound states are derived from the poles of the Green’s function and its residues. Particular cases of these potentials are also discussed briefly and it is found that obtained results are in good agreement with those obtained in the literature.

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Section: Linear Combination Of Hulthén and Inversely Quadratic Yukawa...mentioning

confidence: 99%

“…The purpose of this work is to investigate approximate analytical solutions, by the Feynman path integral approach [28][29][30][31][32], for non relativistic quantum system under a linear combination of deformed Hulthén plus generalized Kratzer potentials given by…”

Section: Introductionmentioning

confidence: 99%