Publication: Potentials with identical scattering properties below a critical energy
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Loran, Farhang
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English
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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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Source:
Journal of Mathematical Physics
Publisher:
American Institute of Physics (AIP) Publishing
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Subject
Physics, mathematical