scholarly journals Scattering of a Klein–Gordon particle by a Hulthén potential

2009 ◽  
Vol 87 (9) ◽  
pp. 1021-1024 ◽  
Author(s):  
Jian-You Guo ◽  
Xiang-Zheng Fang
Keyword(s):  
Transmission Coefficient ◽  
Hypergeometric Functions ◽  
Gordon Equation ◽  
Wave Functions ◽  
Hulthén Potential ◽  
One Dimensional ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Transmission Resonances ◽  
Klein Gordon Equation

The Klein–Gordon equation in the presence of a spatially one-dimensional Hulthén potential is solved exactly and the scattering solutions are obtained in terms of hypergeometric functions. The transmission coefficient is derived by the matching conditions on the wave functions and the conditions for the existence of transmission resonances are investigated. It is shown how the zero-reflection condition depends on the shape of the potential.

scholarly journals The Application of Minimal Length in Klein-Gordon Equation with Hulthen Potential Using Asymptotic Iteration Method

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Isnaini Lilis Elviyanti ◽  
Beta Nur Pratiwi ◽  
A. Suparmi ◽  
C. Cari
Keyword(s):  
Iteration Method ◽  
Gordon Equation ◽  
Minimal Length ◽  
Wave Functions ◽  
Asymptotic Iteration Method ◽  
Relativistic Energy ◽  
Hulthén Potential ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

The application of minimal length formalism in Klein-Gordon equation with Hulthen potential was studied in the case of scalar potential that was equal to vector potential. The approximate solution was used to solve the Klein-Gordon equation within the minimal length formalism. The relativistic energy and wave functions of Klein-Gordon equation were obtained by using the Asymptotic Iteration Method. By using the Matlab software, the relativistic energies were calculated numerically. The unnormalized wave functions were expressed in hypergeometric terms. The results showed the relativistic energy increased by the increase of the minimal length parameter. The unnormalized wave function amplitude increased for the larger minimal length parameter.

scholarly journals Scattering solutions of the Klein–Gordon equation for a step potential with hyperbolic tangent potential

2014 ◽  
Vol 29 (28) ◽  
pp. 1450146 ◽  
Author(s):  
Clara Rojas
Keyword(s):  
Reflection Coefficient ◽  
Transmission Coefficient ◽  
Hypergeometric Functions ◽  
Gordon Equation ◽  
Hyperbolic Tangent ◽  
Step Potential ◽  
Klein Gordon ◽  
Transmission Resonances ◽  
Klein Gordon Equation

We solve the Klein–Gordon equation for a step potential with hyperbolic tangent potential. The scattering solutions are derived in terms of hypergeometric functions. The reflection coefficient R and transmission coefficient T are calculated, we observed superradiance and transmission resonances.

Heavy quarkonium systems for the deformed unequal scalar and vector Coulomb–Hulthén potential within the deformed effective mass Klein–Gordon equation using the improved approximation of the centrifugal term and Bopp’s shift method in RNCQM symmetries

2021 ◽  
Author(s):  
Abdelmadjid Maireche
Keyword(s):  
Effective Mass ◽  
Gordon Equation ◽  
Energy State ◽  
Real Space ◽  
Heavy Quarkonium ◽  
Hulthén Potential ◽  
Shift Method ◽  
Hulthen Potential ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this study, the analytical solutions of the Klein–Gordon equation for any [Formula: see text] states of the modified effective mass potential under the modified unequal scalar and vector Coulomb–Hulthén potential (MUSVCH-P) are derived by using an approximation method to the centrifugal potential term in the symmetries of relativistic noncommutative three-dimensional real space (RNC: 3D-RS). The new analytical expressions for eigenvalues of the energy spectrum and the new mass of mesons, such as charmonium and bottomonium that have the quark and antiquark flavor, have been estimated by using Bopp’s shift method, and perturbation theory. The energy state equation depends on the global parameters characterizing the noncommutativity space and the potential parameter [Formula: see text] in addition to the Gamma function and the discreet atomic quantum numbers [Formula: see text]. The expression for the new energy spectra is applied to obtain the new mass spectra of heavy quarkonium systems (charmonium and bottomonium) in the symmetries of (RNC: 3D-RS). The comparisons show that our theoretical results are in very good agreement with the reported works.

scholarly journals Scattering of a Klein–Gordon particle by a smooth barrier

2020 ◽  
Vol 98 (10) ◽  
pp. 939-943
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Potential Barrier ◽  
Gordon Equation ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Smoothness Parameter ◽  
Klein Gordon ◽  
Transmission Resonances ◽  
The One ◽  
Klein Gordon Equation

We present a study of the one-dimensional Klein–Gordon equation by a smooth barrier. The scattering solutions are given in terms of the Whittaker Mκ,μ(x) function. The reflection and transmission coefficients are calculated in terms of the energy, the height, and the smoothness of the potential barrier. For any value of the smoothness parameter we observed transmission resonances.

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