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arXiv · 1902.04297

Potentials with Identical Scattering Properties Below a Critical Energy

Farhang Loran·Ali Mostafazadeh
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Abstract

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

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Farhang Loran, Ali Mostafazadeh. 2019-02-12. Potentials with Identical Scattering Properties Below a Critical Energy. https://doi.org/10.1063/1.5054759

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