Scattering state of Klein-Gordon Particles by q-parameter hyperbolic Poschl-Teller potential

Abstract

The one-dimensional Klein-Gordon equation for equal vector and scalar q-parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in details the solutions of the scattering and bound states. By virtue of the conditions of equation of continuity of the wave functions, we obtained explicit expressions for the reflection and transmission coefficients and energy equation for the bound state solutions

8 papges,5 figures

References in corpus (2)

• Scattering of a relativistic scalar particle by a cusp potential
• Effective-Mass Dirac Equation for Woods-Saxon Potential: Scattering, Bound States and Resonances

Cited by in corpus (3)

• Analytical solution of the Klein Gordon equation with a Multi-parameter q-Deformed Woods-Saxon Type Potential
• Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential
• An Investigation of the Bound State Solutions of the Klein-Gordon Equation for the Generalized Woods-Saxon Potential in Spin Symmetry and Pseudo-spin Symmetry Limits