Scattering of relativistic spinless particles within the Feshbach-Villars formalism

Y. Chargui; A. Dhahbi; A.R. Karam

Heliyon (Oct 2022)

Scattering of relativistic spinless particles within the Feshbach-Villars formalism

Y. Chargui,
A. Dhahbi,
A.R. Karam

Affiliations

Y. Chargui: Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah 52571, Saudi Arabia; Nuclear Physics and High Energy Research Unit, Faculty of Sciences of Tunis, Tunis El Manar University, Tunis, Tunisia
A. Dhahbi: Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah 52571, Saudi Arabia; Nuclear Physics and High Energy Research Unit, Faculty of Sciences of Tunis, Tunis El Manar University, Tunis, Tunisia; Department of Physics, Faculty of Science, University of Khartoum, Sudan; Corresponding author at: Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah 52571, Saudi Arabia.
A.R. Karam: Department of Physics, Faculty of Science, University of Khartoum, Sudan

Journal volume & issue: Vol. 8, no. 10
p. e11215

Abstract

Read online

We consider the relativistic quantum scattering of spinless particles in one-spatial dimension using the Feshbach-Villars formalism. We construct the general form of the scattering matrix, for symmetric and non-symmetric potentials, based on the symmetry properties of the Feshbach-Villars equation. Then, since in one dimension there are only two partial waves associated with even and odd parities, we show, in a simple and comprehensive way, how to describe this transmission-reflection problem using partial-wave decomposition. As an illustration, we also discuss the special case of scattering by a symmetric square-well potential.

Published in Heliyon

ISSN: 2405-8440 (Online)
Publisher: Elsevier
Country of publisher: United Kingdom
LCC subjects: Science: Science (General); Social Sciences: Social sciences (General)
Website: https://www.cell.com/heliyon/home

About the journal

Abstract

Keywords