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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21670%2F17%3A00318754" target="_blank" >RIV/68407700:21670/17:00318754 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1142/S0218301317500628" target="_blank" >http://dx.doi.org/10.1142/S0218301317500628</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S0218301317500628" target="_blank" >10.1142/S0218301317500628</a>

Result language
angličtina
Original language name
Reproduction of exact solutions of Lipkin model by nonlinear higher random-phase approximation
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10304 - Nuclear physics

Project
<a href="/en/project/EF16_013%2F0001733" target="_blank" >EF16_013/0001733: Underground laboratory LSM - Czech participation to European-level research</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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