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

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LÜTFÜOĞLU B. C., Akdeniz F., BAYRAK O.

JOURNAL OF MATHEMATICAL PHYSICS, vol.57, no.3, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 57 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1063/1.4943298
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Akdeniz University Affiliated: Yes

Abstract

The exact analytical solutions of the Schrodinger 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. (C) 2016 AIP Publishing LLC.