Publication: Scattering and bound states of spinless particles in a mixed vector-scalar smooth step potential
Loading...
Date
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Press Inc. Elsevier B.V.
Type
Article
Access right
Acesso restrito
Abstract
Scattering and bound states for a spinless particle in the background of a kink-like smooth step potential, added with a scalar uniform background, are considered with a general mixing of vector and scalar Lorentz structures. The problem is mapped into the Schrodinger-like equation with an effective Rosen-Morse potential. It is shown that the scalar uniform background present subtle and trick effects for the scattering states and reveals itself a high-handed element for formation of bound states. In that process, it is shown that the problem of solving a differential equation for the eigenenergies is transmuted into the simpler and more efficient problem of solving an irrational algebraic equation. (C) 2009 Elsevier B.V. All rights reserved.
Description
Keywords
Klein-Gordon equation, Bound states, Scattering
Language
English
Citation
Annals of Physics. San Diego: Academic Press Inc. Elsevier B.V., v. 324, n. 11, p. 2372-2384, 2009.
