Proper treatment of scalar and vector exponential potentials in the Klein-Gordon equation: Scattering and bound states

Autor(es)

Aquino Curi, Elvis J. ^[1] ; Castro, Luis B. ^{[1, 2]} ; de Castro, Antonio S. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Maranhao UFMA, Dept Fis, Campus Univ Bacanga, BR-65080805 Sao Luis, MA - Brazil

^[2] Univ Estadual Paulista UNESP, Dept Fis & Quim, Campus Guaratingueta, BR-12516410 Guaratingueta, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: EUROPEAN PHYSICAL JOURNAL PLUS; v. 134, n. 6 JUN 2019.
• Citações Web of Science: 1

Resumo

We point out a misleading treatment in the literature regarding bound-state solutions for the s-wave Klein-Gordon equation with exponential scalar and vector potentials. Following the appropriate procedure for an arbitrary mixing of scalar and vector couplings, we generalize earlier works and present the correct solution to bound states and additionally we address the issue of scattering states. Moreover, we present a new effect related to the polarization of the charge density in the presence of weak short-range exponential scalar and vector potentials. (AU)

• Processo FAPESP: 18/20577-4 - Estudos sobre férmions e bósons em baixas dimensões e suas aplicações em grafeno e isolantes topológicos
• Beneficiário: Antonio Soares de Castro
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Brasil