Coupled Self-Consistent RPA Equations for Even and Odd Particle Numbers. Tests with Solvable Models
Nuclear Theory
2020-08-06 v1 Strongly Correlated Electrons
Abstract
Coupled equations for even and odd particle number correlation functions are set up via the equation of motion method. For the even particle number case this leads to self-consistent RPA (SCRPA) equations already known from the literature. From the equations of the odd particle number case the single particle occupation probabilities are obtained in a self-consistent way. This is the essential new procedure of this work. Both, even and odd particle number cases are based on the same correlated vacuum and, thus, are coupled equations. Applications to the Lipkin model and the 1D Hubbard model give very good results.
Keywords
Cite
@article{arxiv.1908.05606,
title = {Coupled Self-Consistent RPA Equations for Even and Odd Particle Numbers. Tests with Solvable Models},
author = {M. Jemai and P. Schuck},
journal= {arXiv preprint arXiv:1908.05606},
year = {2020}
}
Comments
12 pages, 27 figures, to be published in PRC. arXiv admin note: substantial text overlap with arXiv:1905.04672