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

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

2003-06-03

arxiv.org/abs/nucl-th/0306010v1

Commun.Theor.Phys. 41 (2004) 859-866

Physics

Nuclear Physics

Nuclear Theory

3 figures, 21 pages

Scientific paper

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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