Reflection and Transmission Coefficients of the symmetric barrier-type shifted Deng-Fan potential
O J Oluwadare, K J Oyewumi, K-E Thylwe, S Hassanabadi

TL;DR
This paper derives and discusses the reflection and transmission coefficients for a quantum particle encountering a symmetric shifted Deng-Fan potential, confirming their accuracy through numerical and graphical analysis.
Contribution
It provides explicit formulas and analysis for reflection and transmission coefficients in a symmetric shifted Deng-Fan potential, a novel potential form in quantum mechanics.
Findings
Numerical results match quantum transmission-reflection principles.
Graphical analysis confirms the accuracy of derived coefficients.
The method can be applied to similar potential problems.
Abstract
By applying continuity and boundary conditions, the reflection and transmission coefficients of one-dimensional time-independent Schr\"odinger equation with a symmetric barrier-type shifted Deng-Fan potential are obtained and discussed. The numerical and graphical results are very accurate and consistent with the quantum transmission-reflection principle.
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