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Foundations of Physics

, Volume 43, Issue 10, pp 1171–1181 | Cite as

Generalized Dirac Equation with Induced Energy-Dependent Potential via Simple Similarity Transformation and Asymptotic Iteration Methods

  • T. Barakat
  • H. A. Alhendi
Article

Abstract

This study shows how precise simple analytical solutions for the generalized Dirac equation with repulsive vector and attractive energy-dependent Lorentz scalar potentials, position-dependent mass potential, and a tensor interaction term can be obtained within the framework of both similarity transformation and the asymptotic iteration methods. These methods yield a significant improvement over existing approaches and provide more plausible and applicable ways in explaining the pseudospin symmetry’s breaking mechanism in nuclei.

Keywords

Generalized Dirac equation Similarity transformation and asymptotic iteration methods Induced energy-dependent potential Spatially-dependent mass potential Tensor potential Pseudospin symmetry breaking mechanism 

Notes

Acknowledgement

This project was supported by the Research Center, College of Science, King Saud University.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Physics and Astronomy DepartmentKing Saud UniversityRiyadhSaudi Arabia

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