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 -parameter hyperbolic Poschl-Teller potential is solved in terms of the hypergeometric functions. We calculate in detail 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.

Scattering of Klein-Gordon particles in the background of mixed scalar-vector generalized symmetric Woods-Saxon potential

“…Coloumb potential [19,20], Pöschl-Teller potential [20][21][22], Hulthén potential [23,24], Morse potential [25,26]. Among them as an example, Alhaidari et al [9] investigated the solutions in three dimensions with vector and scalar potentials, which are non-central, i.e.…”

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

“…The solutions of the Dirac and the Klein-Gordon(KG) equations are obtained by using these symmetries in the presence of various potential energies, e.g. SS [33] and PSS [34,35] in the relativistic harmonic oscillator potential, resonant states solutions and PSS in the Dirac-Morse potential energy [36], PSS in the Dirac equation with a Lorentz structured Woods-Saxon potential [37], SS and PSS in the Hulthén-like potential and tensor interaction [38], SS scattering state solutions of KG particles by q−Parameter Hyperbolic Pöschl-Teller potential [39], SS and PSS scattering of KG particles with generalized symmetric Woods-Saxon potential [40].…”

The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential

“…These equations may explicitly predict the particles' treatment, which lead to the study of relativistic effects in various branches of physics and chemistry [4,5]. The Klein-Gordon equation is a notable relativistic wave equation that depicts the movement of spinless particles because of its square terms [6][7][8]. It is also realized that the specific feasible actual possibilities via the Klein-Gordon equations are uncommon, with the exception of some outstanding solvable quantum systems, for example, the hydrogen atom and harmonic oscillator, while the case of states with arbitrary angular momentum, which do not exhibit accurate solutions, is understood either mathematically or by approximation methods [9,10].…”