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

Soner Alpdoğan | Zendy; Ali Havare | Zendy

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

Author(s) -

Soner Alpdoğan,

Ali Havare

Publication year - 2014

Publication title -

advances in high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.59

H-Index - 49

eISSN - 1687-7365

pISSN - 1687-7357

DOI - 10.1155/2014/973847

Subject(s) - woods–saxon potential , physics , dirac equation , position (finance) , dirac (video compression format) , hypergeometric function , function (biology) , work (physics) , cusp (singularity) , wave function , reflection (computer programming) , scattering , particle (ecology) , mathematical physics , quantum mechanics , mathematical analysis , geometry , mathematics , oceanography , finance , evolutionary biology , computer science , neutrino , economics , geology , biology , programming language

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

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