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Potentials with identical scattering properties below a critical energy

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Loran, Farhang

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Abstract

A pair of scattering potentials are called alpha-equivalent if they have identical scattering properties for incident plane waves with wavenumber k <= alpha (energy k(2) <= alpha(2)). We use a recently developed multidimensional transfer-matrix formulation of scattering theory to obtain a simple criterion for alpha-equivalence of complex potentials in two and three dimensions.

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American Institute of Physics (AIP) Publishing

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Physics, mathematical

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Journal of Mathematical Physics

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10.1063/1.5054759

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