A self‐consistent solution of Schrödinger–Poisson equations using a nonuniform mesh

@article{Tan1990ASS,
  title={A self‐consistent solution of Schr{\"o}dinger–Poisson equations using a nonuniform mesh},
  author={I. H. Tan and Gregory L. Snider and L. D. Chang and Evelyn L. Hu},
  journal={Journal of Applied Physics},
  year={1990},
  volume={68},
  pages={4071-4076}
}
A self‐consistent, one‐dimensional solution of the Schrodinger and Poisson equations is obtained using the finite‐difference method with a nonuniform mesh size. The use of the proper matrix transformation allows preservation of the symmetry of the discretized Schrodinger equation, even with the use of a nonuniform mesh size, therefore reducing the computation time. This method is very efficient in finding eigenstates extending over relatively large spatial areas without loss of accuracy. For… Expand

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