Matches in SemOpenAlex for { <https://semopenalex.org/work/W2088112449> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2088112449 endingPage "1978" @default.
- W2088112449 startingPage "1972" @default.
- W2088112449 abstract "In this paper, we develop a time-dependent approach to many-body perturbation theory for closed shells based on the resolvent of the Schrödinger equation. We introduce a quantity S(t) = i<φ‖exp [−i(H−E0)t]‖ψ≳/<φ‖ψ≳, where φ and ψ are, respectively, the unperturbed and exact wave functions for the system and E0 is the unperturbed energy. The Fourier transform of S(t), S(ω) = <φ‖(ω+E0− H)−1‖ψ≳/ <φ‖ψ≳, is a matrix element of the resolvent containing the exact function ψ and, thus, has a pole at ω = (E−E0), the correlation energy. Starting from a time-dependent perturbation expansion of S(t) via the Gellman–Low adiabatic theorem, we have obtained a Dyson-like equation: S−1(ω) = S−10(ω)+Σ<φ‖ψ≳ for S(ω). Such a derivation requires judicious grouping of terms of the perturbation series for S(t). It has been shown that specific regroupings of the terms of S(t) into appropriate ’’top’’ and ’’bottom’’ parts and corresponding time-integration procedures yield a Σ which generates the Brillouin–Wigner (BW) or Rayleigh–Schrödinger (RS) energy series. Σ for both the cases are identified as the ’’top’’ parts. The characteristic features of the BW series, namely, the appearance of disconnected and ω-dependent diagrams is to be contrasted with that of the RS series, which contains connected and ω-independent diagrams only, and both emerge naturally as a consequence of the dissection procedure into appropriate top and bottom parts." @default.
- W2088112449 created "2016-06-24" @default.
- W2088112449 creator A5014530283 @default.
- W2088112449 creator A5030959916 @default.
- W2088112449 creator A5065687012 @default.
- W2088112449 date "1982-02-15" @default.
- W2088112449 modified "2023-10-04" @default.
- W2088112449 title "Resolvent operator approach to many‐body perturbation theory. I. Closed shells" @default.
- W2088112449 cites W1536724259 @default.
- W2088112449 cites W1853708580 @default.
- W2088112449 cites W189812860 @default.
- W2088112449 cites W1974085416 @default.
- W2088112449 cites W1983420805 @default.
- W2088112449 cites W1987157263 @default.
- W2088112449 cites W1987501299 @default.
- W2088112449 cites W2003464722 @default.
- W2088112449 cites W2016999079 @default.
- W2088112449 cites W2017074070 @default.
- W2088112449 cites W2017109347 @default.
- W2088112449 cites W2018632465 @default.
- W2088112449 cites W2035984905 @default.
- W2088112449 cites W2045422561 @default.
- W2088112449 cites W2051912867 @default.
- W2088112449 cites W2056931915 @default.
- W2088112449 cites W2073311787 @default.
- W2088112449 cites W2077261815 @default.
- W2088112449 cites W2113448580 @default.
- W2088112449 cites W2124971943 @default.
- W2088112449 cites W2151796659 @default.
- W2088112449 cites W4240924588 @default.
- W2088112449 cites W4256042900 @default.
- W2088112449 doi "https://doi.org/10.1063/1.443170" @default.
- W2088112449 hasPublicationYear "1982" @default.
- W2088112449 type Work @default.
- W2088112449 sameAs 2088112449 @default.
- W2088112449 citedByCount "7" @default.
- W2088112449 crossrefType "journal-article" @default.
- W2088112449 hasAuthorship W2088112449A5014530283 @default.
- W2088112449 hasAuthorship W2088112449A5030959916 @default.
- W2088112449 hasAuthorship W2088112449A5065687012 @default.
- W2088112449 hasConcept C104317684 @default.
- W2088112449 hasConcept C109663097 @default.
- W2088112449 hasConcept C121332964 @default.
- W2088112449 hasConcept C134306372 @default.
- W2088112449 hasConcept C143724316 @default.
- W2088112449 hasConcept C151730666 @default.
- W2088112449 hasConcept C158448853 @default.
- W2088112449 hasConcept C17020691 @default.
- W2088112449 hasConcept C174256460 @default.
- W2088112449 hasConcept C177918212 @default.
- W2088112449 hasConcept C185592680 @default.
- W2088112449 hasConcept C196267783 @default.
- W2088112449 hasConcept C33923547 @default.
- W2088112449 hasConcept C37914503 @default.
- W2088112449 hasConcept C55493867 @default.
- W2088112449 hasConcept C62520636 @default.
- W2088112449 hasConcept C86339819 @default.
- W2088112449 hasConcept C86803240 @default.
- W2088112449 hasConceptScore W2088112449C104317684 @default.
- W2088112449 hasConceptScore W2088112449C109663097 @default.
- W2088112449 hasConceptScore W2088112449C121332964 @default.
- W2088112449 hasConceptScore W2088112449C134306372 @default.
- W2088112449 hasConceptScore W2088112449C143724316 @default.
- W2088112449 hasConceptScore W2088112449C151730666 @default.
- W2088112449 hasConceptScore W2088112449C158448853 @default.
- W2088112449 hasConceptScore W2088112449C17020691 @default.
- W2088112449 hasConceptScore W2088112449C174256460 @default.
- W2088112449 hasConceptScore W2088112449C177918212 @default.
- W2088112449 hasConceptScore W2088112449C185592680 @default.
- W2088112449 hasConceptScore W2088112449C196267783 @default.
- W2088112449 hasConceptScore W2088112449C33923547 @default.
- W2088112449 hasConceptScore W2088112449C37914503 @default.
- W2088112449 hasConceptScore W2088112449C55493867 @default.
- W2088112449 hasConceptScore W2088112449C62520636 @default.
- W2088112449 hasConceptScore W2088112449C86339819 @default.
- W2088112449 hasConceptScore W2088112449C86803240 @default.
- W2088112449 hasIssue "4" @default.
- W2088112449 hasLocation W20881124491 @default.
- W2088112449 hasOpenAccess W2088112449 @default.
- W2088112449 hasPrimaryLocation W20881124491 @default.
- W2088112449 hasRelatedWork W1596003568 @default.
- W2088112449 hasRelatedWork W1991110989 @default.
- W2088112449 hasRelatedWork W1996000418 @default.
- W2088112449 hasRelatedWork W2019936129 @default.
- W2088112449 hasRelatedWork W2047860039 @default.
- W2088112449 hasRelatedWork W2075483657 @default.
- W2088112449 hasRelatedWork W2088899381 @default.
- W2088112449 hasRelatedWork W2091484687 @default.
- W2088112449 hasRelatedWork W2339287112 @default.
- W2088112449 hasRelatedWork W2520945840 @default.
- W2088112449 hasVolume "76" @default.
- W2088112449 isParatext "false" @default.
- W2088112449 isRetracted "false" @default.
- W2088112449 magId "2088112449" @default.
- W2088112449 workType "article" @default.