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arxiv: 1107.3204 · v1 · pith:36BNTWIEnew · submitted 2011-07-16 · 🧮 math-ph · math.MP· quant-ph

Scattering and Bound State Solutions of Asymmetric Hulth\'{e}n Potential

classification 🧮 math-ph math.MPquant-ph
keywords asymmetricboundhulthpotentialsolutionsstatecoefficientscondition
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One-dimensional time-independent Schr\"odinger equation is solved for the asymmetric Hulth\'{e}n potential. Reflection and transmission coefficients and bound state solutions are obtained in terms of the hypergeometric functions. It is observed that the unitary condition is satisfied in non-relativistic region.

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