Scattering and bound states of spinless particles in a mixed vector–scalar smooth step potential

@article{Garcia2009ScatteringAB,
  title={Scattering and bound states of spinless particles in a mixed vector–scalar smooth step potential},
  author={M. G. Garcia and Antonio Soares de Castro},
  journal={Annals of Physics},
  year={2009},
  volume={324},
  pages={2372-2384}
}

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References

SHOWING 1-10 OF 65 REFERENCES

Corrections to the energy levels of a spin-zero particle bound in a strong field

Formulas for the corrections to the energy levels and wave functions of a spin-zero particle bound in a strong field are derived. The general case of the sum of a Lorentz-scalar potential and zero

Pseudospin symmetry as a relativistic dynamical symmetry in the nucleus

Pseudospin symmetry in nuclei is investigated by solving the Dirac equation with Woods-Saxon scalar and vector radial potentials, and studying the correlation of the energy splittings of pseudospin

Effect of tensor couplings in a relativistic Hartree approach for finite nuclei

The relativistic Hartree approach describing the bound states of both nucleons and antinucleons in finite nuclei has been extended to include tensor couplings for the omega and rho mesons. After

Zitterbewegung and the Klein paradox for spin‐zero particles

The Hamiltonian form of the Klein–Gordon equation is used to study the Zitterbewegung of spin‐ zero particles. It is shown that the time dependence of the velocity and position operators in the

Spin and pseudospin symmetries and the equivalent spectra of relativistic spin-1/2 and spin-0 particles

We show that the conditions which originate the spin and pseudospin symmetries in the Dirac equation are the same that produce equivalent energy spectra of relativistic spin-1/2 and spin-0 particles

Pseudospin Symmetry in Relativistic Framework with Harmonic Oscillator Potential and Woods-Saxon Potential

Based on the Dirac equation, we discuss the exact pseudospin symmetry and some examples are presented. For harmonic oscillator potential there exist bound states under the condition of the exact

Modeling quark-hadron duality for relativistic, confined fermions

We discuss a model for the study of quark-hadron duality in inclusive electron scattering based on solving the Dirac equation numerically for a scalar confining linear potential and a vector color

Relativistic Quantum Mechanics

In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and

Relativistic Quantum Mechanics. Wave Equations

1. Relativistic Wave Equation for Spin-0 Particles: The Klein-Gordon Equation and Its Applications.- 2. A Wave Equation for Spin-1/2 Particles: The Dirac Equation.- 3. Lorentz Covariance of the Dirac
...