Scattering, bound, and quasi-bound states of the generalized symmetric Woods-Saxon potential. (English) Zbl 1333.81140
Summary: 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.{
©2016 American Institute of Physics}
©2016 American Institute of Physics}
MSC:
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 81U30 | Dispersion theory, dispersion relations arising in quantum theory |
| 81U05 | \(2\)-body potential quantum scattering theory |
| 35B34 | Resonance in context of PDEs |
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