Transmission resonance for a Dirac particle in a one-dimensional Hulthén potential

Open Physics ◽  
2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Jianyou Guo ◽  
Yi Yu ◽  
Shaowei Jin
Keyword(s):  
Hypergeometric Functions ◽  
Matching Condition ◽  
Dirac Particle ◽  
Hulthén Potential ◽  
Transmission Resonance ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Hulthen Potential ◽  
Scattering States

AbstractWe have solved exactly the two-component Dirac equation in the presence of a spatially one-dimensional Hulthén potential, and presented the Dirac spinors of scattering states in terms of hypergeometric functions. We have derived the reflection and transmission coefficients using the matching condition on the wavefunctions, and investigated the condition for the existence of transmission resonance. Furthermore, we have demonstrated how the transmission resonance depends on the shape of the potential.

scholarly journals Scattering State of Klein-Gordon Particles by q-Parameter Hyperbolic Poschl-Teller Potential

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Akpan Ndem Ikot ◽  
Hillary P. Obong ◽  
Israel O. Owate ◽  
Michael C. Onyeaju ◽  
Hassan Hassanabadi
Keyword(s):  
Bound States ◽  
Hypergeometric Functions ◽  
Energy Equation ◽  
Bound State ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Scattering State ◽  
Klein Gordon ◽  
The One

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 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.

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 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.

scholarly journals Dirac Particle for the Position Dependent Mass in the Generalized Asymmetric Woods-Saxon Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Soner Alpdoğan ◽  
Ali Havare
Keyword(s):  
Bound States ◽  
Dirac Particle ◽  
Saxon Potential ◽  
One Dimensional ◽  
Transmission And Reflection Coefficients ◽  
Scattering States ◽  
Transmission Resonances ◽  
The One ◽  
Dependent Mass ◽  
Position Dependent Mass

The one-dimensional Dirac equation with position dependent mass in the generalized asymmetric Woods-Saxon potential is solved in terms of the hypergeometric functions. The transmission and reflection coefficients are obtained by considering the one-dimensional electric current density for the Dirac particle and the equation describing the bound states is found by utilizing the continuity conditions of the obtained wave function. Also, by using the generalized asymmetric Woods-Saxon potential solutions, the scattering states are found out without making calculation for the Woods-Saxon, Hulthen, cusp potentials, and so forth, which are derived from the generalized asymmetric Woods-Saxon potential and the conditions describing transmission resonances and supercriticality are achieved. At the same time, the data obtained in this work are compared with the results achieved in earlier studies and are observed to be consistent.

Scattering states of the Duffin-Kemmer-Petiau equation for the Hulthén potential

2013 ◽  
Vol 128 (9) ◽  
Author(s):  
S. Zarrinkamar ◽  
S. F. Forouhandeh ◽  
B. H. Yazarloo ◽  
H. Hassanabadi
Keyword(s):  
Hulthén Potential ◽  
Hulthen Potential ◽  
Scattering States

scholarly journals Generalized Continuity Equation for Quasi-Hermitian Hamiltonians

10.14311/1803 ◽  
2013 ◽  
Vol 53 (3) ◽  
Author(s):  
Amine B. Hammou
Keyword(s):  
Continuity Equation ◽  
Delta Function ◽  
Reflection And Transmission Coefficients ◽  
Reflection And Transmission ◽  
One Dimensional ◽  
Transmission Coefficients ◽  
Generalized Continuity ◽  
Unitarity Relation ◽  
Function Potential

The continuity relation is generalized to quasi-Hermitian one-dimensional Hamiltonians. As an application we show that the reflection and transmission coefficients computed with the generalized current obey the conventional unitarity relation for the continuous double delta function potential.

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