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Reflection from an interface

Zafar Ahmed

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A slight mismatch of left and right derivatives at the junction of a semi-infinite potential step is shown to cause dramatic changes in above-the-step reflectivity as a function of incident energy. Firstly, the reflectivity becomes enhanced remarkably at energies much above the step. Secondly, depending on the parameters, there exists a pronounced single minimum in the reflectivity at an energy slightly above-the-step height. Several methods and interfacial profiles have been employed to verify the claimed behaviour of the reflectivity.


PACS

03.65.Nk Scattering theory

02.30.Gp Special functions

MSC

33Cxx Hypergeometric functions

26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives

Subjects

Mathematical physics

Quantum information and quantum mechanics

Dates

Issue 16 (28 April 2000)

Received 9 August 1999, in final form 25 January 2000



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