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arXiv · 1603.06148

Scattering, bound and quasi-bound states of the generalized symmetric Woods-Saxon potential

B. C. Lütfüoğlu·F. Akdeniz·O. Bayrak
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Abstract

The exact analytical solutions of the Schrödinger equation for the generalized symmetrical Woods-Saxon potential are examined for the scattering, bound and quasi-bound states in one dimension. The reflection and transmission coefficients are analytically obtained. Then, the correlations between the potential parameters and the reflection-transmission coefficients are investigated, and a transmission resonance condition is derived. Occurrence of the transmission resonance has been shown when incident energy of the particle is equal to one of the resonance energies of the quasi-bound states.

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B. C. Lütfüoğlu, F. Akdeniz, O. Bayrak. 2016-03-19. Scattering, bound and quasi-bound states of the generalized symmetric Woods-Saxon potential. https://doi.org/10.1063/1.4943298

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