Non-relativistic and relativistic scattering by short-range potentials |
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Authors: | Arnbak H Christiansen P L Gaididei Yu B |
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Affiliation: | Department of Informatics, Technical University of Denmark, 2800 Kongens Lyngby, Denmark. |
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Abstract: | Relativistic and non-relativistic scattering by short-range potentials is investigated for selected problems. Scattering by the δ' potential in the Schr?dinger equation and δ potentials in the Dirac equation must be solved by regularization, efficiently carried out by a perturbation technique involving a stretched variable. Asymmetric regularizations yield non-unique scattering coefficients. Resonant penetration through the potentials is found. Approximative Schr?dinger equations in the non-relativistic limit are discussed in detail. |
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