English

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

Nuclear Theory 2018-01-17 v1

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.

Keywords

Cite

@article{arxiv.nucl-th/0306010,
  title  = {The Extended Wronskian Determinant Approach and the Iterative Solutions of One-Dimensional Dirac Equation},
  author = {Ying Xu and Meng Lu and Ru-Keng Su},
  journal= {arXiv preprint arXiv:nucl-th/0306010},
  year   = {2018}
}

Comments

3 figures, 21 pages