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Coupled-Cluster Theory Revisited. Part I: Discretization

Numerical Analysis 2023-03-28 v4 Numerical Analysis Mathematical Physics math.MP Chemical Physics Quantum Physics

Abstract

In a series of two articles, we propose a comprehensive mathematical framework for Coupled-Cluster-type methods. These methods aim at accurately solving the many-body Schrodinger equation. In this first part, we rigorously describe the discretization schemes involved in Coupled-Cluster methods using graph-based concepts. This allows us to discuss different methods in a unified and more transparent manner, including multireference methods. Moreover, we derive the single-reference and the Jeziorski-Monkhorst multireference Coupled-Cluster equations in a unified and rigorous manner.

Keywords

Cite

@article{arxiv.2105.13134,
  title  = {Coupled-Cluster Theory Revisited. Part I: Discretization},
  author = {Mihály A. Csirik and Andre Laestadius},
  journal= {arXiv preprint arXiv:2105.13134},
  year   = {2023}
}

Comments

Published in ESAIM: M2AN, Volume 57, Number 2, March-April 2023, Pages 645 -670

R2 v1 2026-06-24T02:31:40.797Z