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The Extended Wronskian Determinant Approach and the Iterative Solutions of One-Dimensional Dirac Equation

Ying Xu·Meng Lu·Ru-Keng Su
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Abstract

An approximation method, namely, the Extended Wronskian Determinant Approach, is suggested to study the one-dimensional Dirac equation. An integral equation which can be solved by iterative procedure to find the wave functions is established. We employ this approach to study the one-dimensional Dirac equation with one-well potential, and give the energy levels and wave functions up to the first order iterative approximation. For double-well potential, the energy levels up to the first order approximation are given.

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Ying Xu, Meng Lu, Ru-Keng Su. 2003-06-03. The Extended Wronskian Determinant Approach and the Iterative Solutions of One-Dimensional Dirac Equation. https://doi.org/10.1088/0253-6102%2F41%2F6%2F859

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