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- Title
Variational determination of the two‐electron reduced density matrix: A tutorial review.
- Authors
Eugene DePrince, A.
- Abstract
The two‐electron reduced density matrix (2RDM) carries enough information to evaluate the electronic energy of a many‐electron system. The variational 2RDM (v2RDM) approach seeks to determine the 2RDM directly, without knowledge of the wave function, by minimizing this energy with respect to variations in the elements of the 2RDM, while also enforcing known N‐representability conditions. In this tutorial review, we provide an overview of the theoretical underpinnings of the v2RDM approach and the N‐representability constraints that are typically applied to the 2RDM. We also discuss the semidefinite programming (SDP) techniques used in v2RDM computations and provide enough Python code to develop a working v2RDM code that interfaces to the libSDP library of SDP solvers. This article is categorized under:Electronic Structure Theory > Ab Initio Electronic Structure MethodsSoftware > Quantum Chemistry
- Subjects
DENSITY matrices; SEMIDEFINITE programming; WAVE functions; QUANTUM chemistry; STRUCTURAL analysis (Engineering)
- Publication
WIREs: Computational Molecular Science, 2024, Vol 14, Issue 1, p1
- ISSN
1759-0876
- Publication type
Article
- DOI
10.1002/wcms.1702