Publication: Exact solution for a fermion in the background of a scalar inversely linear potential
Loading...
Date
Authors
Advisor
Coadvisor
Graduate program
Undergraduate course
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier B.V.
Type
Article
Access right
Acesso restrito
Abstract
The problem of a fermion subject to a general scalar potential in a two-dimensional world is mapped into a Sturm-Liouville problem for nonzero eigenenergies. The searching for possible bounded solutions is done in the circumstance of power-law potentials. The normalizable zero-eigenmode solutions are also searched. For the specific case of an inversely linear potential, which gives rise to an effective Kratzer potential, exact bounded solutions are found in closed form. The behaviour of the upper and lower components of the Dirac spinor is discussed in detail and some unusual results are revealed. (C) 2004 Elsevier B.V. All rights reserved.
Description
Keywords
Dirac equation, scalar potential
Language
English
Citation
Physics Letters A. Amsterdam: Elsevier B.V., v. 328, n. 4-5, p. 289-298, 2004.
