In this work we study the Dirac equation with vector and scalar potentials in the spacetime
generated by a cosmic string. Using an approximation for the centrifugal term, a solution for …

We present a new method to construct the exactly solvable PT-symmetric potentials within
the framework of the position-dependent effective mass Dirac equation with the vector …

The relativistic problem of spinless particles with position-dependent mass subject to kink-
like potentials (~ tanh αx) is investigated. By using the basic concepts of the supersymmetric …

In this work the Dirac oscillator in $(2+ 1) $ dimensions is considered. We solve the problem
in polar coordinates and discuss the dependence of the energy spectrum on the spin …

We present a new procedure to construct the one-dimensional non-Hermitian imaginary
potential with a real energy spectrum in the context of the position-dependent effective mass …

In a recent paper published in this journal, Almeida and collaborators [Phys. Rev. D 79,
125022 (2009) PRVDAQ 1550-7998 10.1103/PhysRevD. 79.125022] analyze the issue of …

In this letter we consider a specific model of braneworld with nonstandard dynamics diffused
in the literature, specifically we focus our attention on the matter energy density, the energy …

In the construction of a classical smoothed out brane world model in five dimensions, one
uses a dynamically generated domain wall (a kink) to localize an effective four dimensional …

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 …

The planar quantum dynamics of a spin-1/2 neutral particle interacting with electrical fields is
considered. A set of first order differential equations is obtained directly from the planar Dirac …