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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Nature Portfolio
2021-12-01
|
Series: | Scientific Reports |
Online Access: | https://doi.org/10.1038/s41598-021-02473-y |