Non-relativistic and relativistic scattering by short-range potentials

H. Arnbak; Peter Leth Christiansen; Yuri Borisovich Gaididei

doi:10.1098/rsta.2010.0330

Non-relativistic and relativistic scattering by short-range potentials

H. Arnbak
, Peter Leth Christiansen
, Yuri Borisovich Gaididei

Department of Physics

Research output: Contribution to journal › Journal article › Research › peer-review

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 language	English
Journal	PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES
Volume	369
Pages (from-to)	1228-1244
ISSN	0080-4614
DOIs	https://doi.org/10.1098/rsta.2010.0330
Publication status	Published - 2011

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title = "Non-relativistic and relativistic scattering by short-range potentials",

abstract = "Relativistic and non-relativistic scattering by short-range potentials is investigated for selected problems. Scattering by the δ′ potential in the Schr{\"o}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{\"o}dinger equations in the non-relativistic limit are discussed in detail.",

author = "H. Arnbak and Christiansen, \{Peter Leth\} and Gaididei, \{Yuri Borisovich\}",

year = "2011",

doi = "10.1098/rsta.2010.0330",

language = "English",

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pages = "1228--1244",

journal = "PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES",

issn = "0080-4614",

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

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

M3 - Journal article

SN - 0080-4614

VL - 369

SP - 1228

EP - 1244

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

ER -

Non-relativistic and relativistic scattering by short-range potentials

Abstract

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