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
- Příspěvek ve sborníkuProceedings paper
- 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, MOTION
- KonferenceConference
- Matrix Elements for the Double-beta-decay EXperiments (Prague, Czechia, 2017-05-29)
- DOIDOI
- 10.1063/1.5007650
- Časopis / citaceJournal / citation
- In: AIP Conference Proceedings 1892, Author(s), 2017, pp. 020025 · ISSN 0094-243X
- 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
- 1 (OpenAlex)
- 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.
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.