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

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References

SHOWING 1-10 OF 125 REFERENCES
Bound states of bosons and fermions in a mixed vector–scalar coupling with unequal shapes for the potentials
The Klein‐Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, Vv + Vs = constant. These intrinsically relativistic and isospectral
Approximate relativistic bound states of a particle in Yukawa field with Coulomb tensor interaction
We obtain the approximate relativistic bound state of a spin- particle in the field of the Yukawa potential and a Coulomb-like tensor interaction with arbitrary spin–orbit coupling number κ under the
Bounded solutions of fermions in the background of mixed vector-scalar Pöschl-Teller–like potentials
The problem of a fermion subject to a convenient mixing of vector and scalar potentials in a two-dimensional space-time is mapped into a Sturm-Liouville problem. For a specific case which gives rise
Confinement of spin-0 and spin-1/2 particles in a mixed vector–scalar coupling with unequal shapes for the potentials
The Klein–Gordon and the Dirac equations with vector and scalar potentials are investigated under a more general condition, Vv=Vs+constant. These isospectral problems are solved in the case of
Effects of a mixed vector-scalar kink-like potential for spinless particles in two-dimensional space time
The intrinsically relativistic problem of spinless particles subject to a general mixing of vector and scalar kink-like potentials (~ tanh γx) is investigated. The problem is mapped into the exactly
Supersymmetry aspects of the Dirac equation in one dimension with a Lorentz scalar potential.
  • Nogami, Toyama
  • Physics
    Physical review. A, Atomic, molecular, and optical physics
  • 1993
TLDR
The phase equivalence between H 1 and H 2 is exploited to construct transparent potentials for the Dirac equation in one dimension and is illustrated through explicit examples.
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