Particle resonance in the (1+1)-dimensional Dirac equation with kink-like vector potential and delta interaction

2015/12/10 by M. Eshghi, H. Mehraban, Sameer M. Ikhdair
Physics and Astronomy · Mathematics · #quant-ph #hep-th #math-ph #math.MP

paper · pdf · doi:10.1007/s10255-015-0521-1

published as Acta Mathematicae Applicatae Sinica 31 (4) (2015) 1131-1140 · 17 pages, 1 figure. arXiv admin note: text overlap with arXiv:0903.2597 by other authors

arxiv created 2015/12/10 · arxiv updated 2016/09/01

Abstract

The relativistic problem of spin- 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 for x>0 and x<0 cases.

Citations

• Particle resonance in the Dirac equation in the presence of a delta interaction and a perturbative hyperbolic potential