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arXiv · 1105.4741

Solution of One-dimensional Dirac Equation via Poincare Map

Hocine Bahlouli·El Bouazzaoui Choubabi·Ahmed Jellal
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Abstract

We solve the general one-dimensional Dirac equation using a "Poincare Map" approach which avoids any approximation to the spacial derivatives and reduces the problem to a simple recursive relation which is very practical from the numerical implementation point of view. To test the efficiency and rapid convergence of this approach we apply it to a vector coupling Woods--Saxon potential, which is exactly solvable. Comparison with available analytical results is impressive and hence validates the accuracy and efficiency of this method.

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Hocine Bahlouli, El Bouazzaoui Choubabi, Ahmed Jellal. 2011-05-24. Solution of One-dimensional Dirac Equation via Poincare Map. https://doi.org/10.1209/0295-5075%2F95%2F17009

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