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

preprint2015arXivOpen access

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.

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