Reproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximation
- NázevTitle
- Reproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximationReproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximation
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- J. Terasaki, A. Smetana, F. Šimkovic, M. I. Krivoruchenko
- Klíčová slovaKeywords
- electron-gas, correlation-energy, high-density, perturbation-theory, spherical nuclei, shell model, RPA, extension, MOTION
- DOIDOI
- 10.1142/S0218301317500628
- Časopis / citaceJournal / citation
- International Journal of Modern Physics E 26(10), 1750062 (2017) · ISSN 0218-3013
- RokYear
- 2017
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Podzemní laboratoř LSM - česká účast ve výzkumné infrastruktuře evropského významuUnderground laboratory LSM - Czech participation to European-level research infrastructure
- CitovánoCited by
- 3 (INSPIRE-HEP)
- Plný text (open access)Full text (open access)
- https://arxiv.org/pdf/1701.08368
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
It is shown that the random-phase approximation (RPA) method with its nonlinear higher generalization, which was previously considered as approximation except for a very limited case, reproduces the exact solutions of the Lipkin model. The nonlinear higher 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 = 8. This finding indicates that the nonlinear higher RPA is equivalent to the exact Schrodinger equation, which opens up new possibilities for realistic calculations in many-body problems.
It is shown that the random-phase approximation (RPA) method with its nonlinear higher generalization, which was previously considered as approximation except for a very limited case, reproduces the exact solutions of the Lipkin model. The nonlinear higher 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 = 8. This finding indicates that the nonlinear higher RPA is equivalent to the exact Schrodinger equation, which opens up new possibilities for realistic calculations in many-body problems.