A New Systematical Approach to the Exact Solution of the Dirac Equation for the deformed Woods-Saxon Potential
نویسندگان
چکیده
Exact solution of the Dirac equation is obtained for the deformed 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 in terms of the Jacobi polynomials analytically. The energy eigenvalues depend on the deformation parameter q. It is also shown that the nonrelativistic limit can be reached easily and directly. PACS number(s): 03.65.Pm, 03.65.Ge, 02.30.Gp
منابع مشابه
A New Systematical Approach to the Exact Solutions of the Relativistic Dirac-Woods-Saxon Problem
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 ...
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