TY - JOUR

T1 - Non-relativistic and relativistic scattering by short-range potentials

A1 - Arnbak,H.

A1 - Christiansen,Peter Leth

A1 - Gaididei,Yuri Borisovich

AU - Arnbak,H.

AU - Christiansen,Peter Leth

AU - Gaididei,Yuri Borisovich

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

U2 - 10.1098/rsta.2010.0330

DO - 10.1098/rsta.2010.0330

JO - PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES

JF - PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES

SN - 0080-4614

VL - 369

SP - 1228

EP - 1244

ER -