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

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...

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Bibliographic Details
Published in:Advances in high energy physics 2014-01, Vol.2014 (2014), p.1-10
Main Authors: Alpdoğan, Soner, Havare, Ali
Format: Article
Language:English
Subjects:
Asymmetry
Behavior
Continuity
Density
Dirac equation
Mathematical analysis
Physics
Quantum dots
Reflection coefficient
Scattering
Wave functions
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Summary: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.
ISSN:1687-7357
1687-7365
DOI:10.1155/2014/973847