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
- DOIDOI
- 10.1063/1.5007650
- Časopis / citaceJournal / citation
- In: Workshop on Calculation of Double-Beta-Decay Matrix Elements (MEDEX´17). New York: AIP Conference Proceedings, 2017. Conference Proceedings. vol. 1894. ISSN 0094-243X. ISBN 978-0-7354-1577-5.
- JazykLanguage
- eng
- WoSWoS
- 000417388100025
- ScopusScopus
- 2-s2.0-85037665540
- RIVRIV
- RIV/68407700:21670/17:00318852!RIV18-MSM-21670___
- ProjektProject
- Podzemní laboratoř LSM - česká účast ve výzkumné infrastruktuře evropského významuUnderground laboratory LSM - Czech participation to European-level research infrastructure
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.