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Perturbation-Adapted Perturbation Theory

Quantum Physics 2021-12-09 v3 Strongly Correlated Electrons Chemical Physics

Abstract

A new general approach is introduced for definining an optimum zero-order Hamiltonian for Rayleigh-Schr\"odinger perturbation theory. Instead of taking the operator directly from a model problem, it is constructed to be a best fit to the exact Hamiltonian within any desired functional form. When applied to many-body perturbation theory for electrons, strongly improved convergence is observed in cases where the conventional Fock hamiltonian leads to divergence or slow convergence.

Keywords

Cite

@article{arxiv.2111.09271,
  title  = {Perturbation-Adapted Perturbation Theory},
  author = {Peter J. Knowles},
  journal= {arXiv preprint arXiv:2111.09271},
  year   = {2021}
}

Comments

4 pages, 2 figures, minor revisions

R2 v1 2026-06-24T07:42:29.439Z