Resonance scattering by a double square-well potential

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Abstract
Non-relativistic scattering by two symmetric square-well potentials in one dimension is solved using two techniques: the S-matrix formalism and the one-dimensional partial-wave analysis. The transmission coefficient, the total cross section and the phaseshifts delta 0 and delta 1 for such a potential exhibit much richer resonant character compared with the scattering from the corresponding two-delta-function potential. The Glauber assumption of the additivity of the phaseshifts is valid for the scattering from the two-square-well potential only for energies much larger than the well depth.

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