Dirac-Hulthen Problem with Position-dependent Mass in D-dimensions

2010/11/10 by D. Agboola, Agboola, D.
Mathematics · Physics and Astronomy · #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Quantum chaos and dynamical systems #math-ph #math.MP #quant-ph

paper · pdf · doi:10.48550/arxiv.1011.2368

11 Pages, 4 Figures

arxiv created 2010/11/10 · arxiv updated 2010/11/11

Abstract

An approximate solution of the position-dependent mass Dirac equation with the Hulthen potential is obtained in D-dimensions within frame work of an exponential approximation of the centrifugal term. The relativistic energy spectrum is worked out using direct transformation method; the two-component spinor wavefunctions are obtained in terms of the Jacobi polynomials. Dependence of the energy levels on some parameters is discussed. The results obtained are in good agreement with previous works.

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