Comparison of an improved self-consistent lower bound theory with Lehmann’s method for low-lying eigenvalues

Abstract Ritz eigenvalues only provide upper bounds for the energy levels, while obtaining lower bounds requires at least the calculation of the variances associated with these eigenvalues. The well-known Weinstein and Temple lower bounds based on the eigenvalues and variances converge very slowly a...

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Bibliographic Details
Main Authors: Miklos Ronto, Eli Pollak, Rocco Martinazzo
Format: Article
Language:English
Published: Nature Portfolio 2021-12-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-021-02473-y