Bound states of (1+1)-dimensional Dirac equation with kink-like vector potential and delta interaction

The relativistic problem of spin-1/2 fermions subject to vector hyperbolic (kink-like) potential (∼ tanh kx ) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave functions are obtained in terms of the Jacobi polynomial...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 31; no. 4; pp. 1131 - 1140
Main Authors Eshghi, M., Mehraban, H., Ikhdair, Sameer M.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2015
Subjects
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
NU method
81Q15
81Q05
kink-like potential
Rosen-Morse potential
(1+1)-dimensional Dirac equation
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Summary:The relativistic problem of spin-1/2 fermions subject to vector hyperbolic (kink-like) potential (∼ tanh kx ) is investigated by using the parametric Nikiforov-Uvarov method. The energy eigenvalue equation and the corresponding normalized wave functions are obtained in terms of the Jacobi polynomials in two cases.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-015-0521-1