Coupled Self-Consistent RPA Equations for Even and Odd Particle Numbers. Tests with Solvable Models

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 singl...

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Bibliographic Details
Published inarXiv.org
Main Authors Jemai, M, Schuck, P
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.08.2019
Subjects
Equations of motion
Mathematical models
Physics - Nuclear Theory
Physics - Strongly Correlated Electrons
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1908.05606