The variational-relaxation algorithm for finding quantum bound states

Daniel V. Schroeder

doi:10.1119/1.4997165

The variational-relaxation algorithm for finding quantum bound states

Computational Physics 2017-09-13 v2 Quantum Physics

Authors: Daniel V. Schroeder

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Abstract

I describe a simple algorithm for numerically finding the ground state and low-lying excited states of a quantum system. The algorithm is an adaptation of the relaxation method for solving Poisson's equation, and is fundamentally based on the variational principle. It is especially useful for two-dimensional systems with nonseparable potentials, for which simpler techniques are inapplicable yet the computation time is minimal.

Keywords

variational methods in physics quantum algorithms ground state physics

Cite

@article{arxiv.1701.08934,
  title  = {The variational-relaxation algorithm for finding quantum bound states},
  author = {Daniel V. Schroeder},
  journal= {arXiv preprint arXiv:1701.08934},
  year   = {2017}
}

Comments

8 pages, 4 figures. Minor revisions after peer review, especially to Section VII

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