A New Systematical Approach to the Exact Solutions of the Relativistic Dirac-Woods-Saxon Problem
نویسندگان
چکیده
Using a recently applied systematical method for solving the Dirac equation with spherically symmetric local interaction, we analyzed the problem of a relativistic Dirac particle in the presence of the q-deformed Woods-Saxon potential. The relativistic energy spectrums and two-component spinor wavefunctions, established in terms of the Jacobi polynomials, are obtained analytically. It is shown that the utilizing nonrelativistic limit can be easily and directly reproduced the nonrelativistic Schrödinger Woods-Saxon problem. The method which is labelled by the Nikiforov-Uvarov (NU) is used in the calculations so as to attempt the formalism that is introduced for the first time by A. D. Alhaidari [Int. J. Mod. Phys. A 18, 4955 (2003)]. It is also observed that the energy eigenvalues of the ”new” type Woods-Saxon potential depend on the deformation parameter q. PACS number(s): 03.65.Pm, 03.65.Ge, 02.30.Gp
منابع مشابه
Systematical Approach to the Exact Solution of the Dirac Equation for the Generalized Woods-Saxon Potential
Exact solution of the Dirac equation is given for the generalized Woods-Saxon potential. The Nikiforov-Uvarov method is used in the calculations following the formalism introduced by A. D. Alhaidari [Int. J. Mod. Phys. A 18, 4955 (2003)]. The energy eigenvalues and two-component spinor wavefunctions are obtained analytically. The bound states of the relativistic energy spectrum are illustrated ...
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