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

  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},

Bound and Scattering State of Position Dependent Mass Klein–Gordon Equation with Hulthen Plus Deformed-Type Hyperbolic Potential

In this article we use supersymmetry quantum mechanics and factorization methods to study the bound and scattering state of Klein–Gordon equation with deformed Hulthen plus deformed hyperbolical

Relativistic spinless particles in the generalized asymmetric Woods–Saxon potential

In this study, the Klein–Gordon equation in one spatial dimension is solved exactly for the generalized asymmetric Woods–Saxon potential containing the various forms of physical potentials, such as

Scattering and Bound States of Klein–Gordon Particle with Hylleraas Potential Within Effective Mass Formalism

Scattering and bound states solution for the one-dimensional Klein–Gordon particle with Hylleraas potential is presented within the frame work of position dependent effective mass formalism. We

Quantum effects on spin-0 massive charged particles with Coulomb-type potentials in (1+2)-dimensions Gürses space-time

  • F. Ahmed
  • Physics
    General Relativity and Gravitation
  • 2019
In this article, we investigate the relativistic quantum motion of spin-0 massive charged particles in (1+2)-dimensions Gurses space-time (Gurses in Cl Quantum Grav 11:2585, 1994) with interactions.

Quantization Rule for Relativistic Klein-Gordon Equation

Based on the exact quantization rule for the nonrelativistic Schrodinger equation, the exact quantization rule for the relativistic one-dimensional Klein-Gordon equation is suggested. Using the new

Relativistic quantum motion of spin-0 particles with a Cornell-type potential in (1 + 2)-dimensional Gürses spacetime backgrounds

In this work, we investigate the relativistic quantum dynamics of spin-0 particles in the background of (1 + 2)-dimensional Gurses spacetime [M. Gurses, Class. Quantum Grav. 11, 2585 (1994)] with i...

Nonrelativistic Solutions of Morse Potential from Relativistic Klein-Gordon Equation

Recently it is suggested that it may be possible to obtain the approximate or exact bound state solutions of nonrelativistic Schrodinger equation from relativistic Klein-Gordon equation, which seems



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