Reproduction of exact solutions of Lipkin model by nonlinear random-phase approximation

A. Smetana; F. \v{S}imkovic; J. Terasaki; M. I. Krivoruchenko

REVIEW

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1701.08368 v3 pith:3R74NPYP submitted 2017-01-29 nucl-th cond-mat.str-el

Reproduction of exact solutions of Lipkin model by nonlinear random-phase approximation

J. Terasaki , A. Smetana , F. \v{S}imkovic , M. I. Krivoruchenko This is my paper

classification nucl-th cond-mat.str-el

keywords nonlinearexactapproximationsolutionsequationlipkinmodelrandom-phase

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

It is shown that the random-phase approximation (RPA) method with its nonlinear generalization, which was previously considered as approximation, reproduces the exact solutions of the Lipkin model. The nonlinear RPA is based on an equation nonlinear on eigenvectors and includes many-particle-many-hole components in the creation operator of the excited states. We demonstrate the exact character of solutions analytically for the particle number $N$ = 2 and, numerically, for $N$ = 20. This finding indicates that the nonlinear RPA is equivalent to the exact Schr\"{o}dinger equation, which opens up new possibilities for realistic calculations in many-body problems.

Reproduction of exact solutions of Lipkin model by nonlinear random-phase approximation

discussion (0)