Exact solution for a fermion in the background of a scalar inversely linear potential
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Data
2004-08-02
Autores
de Castro, A. S.
Título da Revista
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Editor
Elsevier B.V.
Resumo
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.
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Palavras-chave
Dirac equation, scalar potential
Como citar
Physics Letters A. Amsterdam: Elsevier B.V., v. 328, n. 4-5, p. 289-298, 2004.