Non-relativistic and relativistic scattering by short-range potentials

H. Arnbak, Peter Leth Christiansen, Yuri Borisovich Gaididei

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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 Schrödinger 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 Schrödinger equations in the non-relativistic limit are discussed in detail.
Original languageEnglish
JournalPHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES
Volume369
Pages (from-to)1228-1244
ISSN0080-4614
DOIs
Publication statusPublished - 2011

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