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AbstractAbstract
[en] The time-dependent density matrix (TDDM) or BBGKY (Bogoliubov, Born, Green, Kirkwood, Yvon) approach is decoupled and closed at the three-body level in finding a natural representation of the latter in terms of a quadratic form of two-body correlation functions. In the small amplitude limit an extended RPA coupled to an also extended second RPA is obtained. Since including two-body correlations means that the ground state cannot be a Hartree-Fock state, naturally the corresponding RPA is upgraded to Self-Consistent RPA (SCRPA) which was introduced independently earlier and which is built on a correlated ground state. SCRPA conserves all the properties of standard RPA. Applications to the exactly solvable Lipkin and the 1D Hubbard models show good performances of SCRPA and TDDM. (orig.)
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Source
Available from: http://dx.doi.org/10.1140/epja/i2016-16307-7
Record Type
Journal Article
Literature Type
Progress Report
Journal
European Physical Journal. A; ISSN 1434-6001;
; v. 52(10); p. 1-17

Country of publication
AMPLITUDES, CORRELATION FUNCTIONS, DENSITY MATRIX, GROUND STATES, HAMILTONIANS, HUBBARD MODEL, LECTURES, NONLINEAR PROBLEMS, ONE-DIMENSIONAL CALCULATIONS, PERFORMANCE, PROGRESS REPORT, QUANTUM MECHANICS, RANDOM PHASE APPROXIMATION, SELF-CONSISTENT FIELD, THREE-BODY PROBLEM, TIME DEPENDENCE, TWO-BODY PROBLEM, WAVE FUNCTIONS
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