DKP equation with smooth barrier-Reference-Cited by-同舟云学术

DKP equation with smooth barrier

Published:2021-09-20 Issue:26 Volume:36 Page:
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

Langueur O.¹,Merad M.²,Rassoul A.³

Affiliation:

1. Faculté de Technologie, département Tronc Commun Technologique, Université Yahia Farès de Médéa, Algeria

2. Département des sciences de la matière, Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000 Oum El Bouaghi, Algeria

3. Department of Mathematics, University of Blida1, Algeria

Abstract

In this paper, we study the Duffin–Kemmer–Petiau (DKP) equation in the presence of a smooth barrier in dimensions space–time (1+1) dimensions. The eigenfunctions are determined in terms of the confluent hypergeometric function [Formula: see text]. The transmission and reflection coefficients are calculated, special cases as a rectangular barrier and step potential are analyzed. A numerical study is presented for the transmission and reflection coefficients graphs for some values of the parameters [Formula: see text] are plotted.

Funder

Universidad de Los Andes, Chile

Publisher

World Scientific Pub Co Pte Ltd

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X21501876

Reference20 articles.

1. Solution of Duffin–Kemmer–Petiau Equation for the Step Potential

2. DKP Equation with Smooth Potential and Position-Dependent Mass

3. Solutions of the Duffin—Kemmer—Petiau equation in the presence of Hulthén potential in (1+2) dimensions for unity spin particles using the asymptotic iteration method

4. DKP Equation with Energy Dependent Potentials

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