# Scattering and bound states of fermions in a mixed vector–scalar smooth step potential

@article{Castilho2014ScatteringAB, title={Scattering and bound states of fermions in a mixed vector–scalar smooth step potential}, author={Wagner M. Castilho and Antonio Soares de Castro}, journal={Annals of Physics}, year={2014}, volume={346}, pages={164-181} }

## 8 Citations

Fermions in a mixed vector-scalar double-step potential via continuous chiral transformation

- Physics
- 2016

Abstract.The behaviour of fermions in the background of a double-step potential is analyzed with a general mixing of scalar and vector couplings via continuous chiral-conjugation transformation.…

Fermions embedded in a scalar-vector kink-like smooth potential

- Physics
- 2015

The behaviour of massive fermions is analyzed with scalar and vector potentials. A continuous chiral-conjugation transformation decouples the equation for the upper component of the Dirac spinor…

Quantum dynamics of a spin-1/2 charged particle in the presence of a magnetic field with scalar and vector couplings

- Physics
- 2015

The quantum dynamics of a spin-1/2 charged particle in the presence of a magnetic field is analyzed for the general case where scalar and vector couplings are considered. The energy spectra are…

Klein’s paradox in the presence of a scalar potential

- PhysicsModern Physics Letters A
- 2019

In this paper, we have studied the Klein’s paradox in the presence of both scalar and vector potential barriers. From the corresponding Dirac equation, we have calculated the transmission and…

Non-relativistic scattering amplitude for a new multi-parameter exponential-type potential

- Mathematics
- 2016

In this paper, we study the scattering properties of s-wave Schrodinger equation for the multi-parameter potential, which can be reduced into four special cases for different values of potential…

Dirac Equation for Scalar, Vector and Tensor Generalized Cornell Interaction

- Physics
- 2016

We consider spin and pseudospin symmetry limits of Dirac equation in the presence of scalar, vector and tensor generalized Cornell interaction and report the solutions via the quasi-exact analytical…

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