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- Random_phase_approximation abstract "The random phase approximation (RPA) is an approximation method in condensed matter physics and in nuclear physics. It was first introduced by David Bohm and David Pines as an important result in a series of seminal papers of 1952 and 1953. For decades physicists had been trying to incorporate the effect of microscopic quantum mechanical interactions between electrons in the theory of matter. Bohm and Pines' RPA accounts for the weak screened Coulomb interaction and is commonly used for describing the dynamic linear electronic response of electron systems.In the RPA, electrons are assumed to respond only to the total electric potential V(r) which is the sum of the external perturbing potential Vext(r) and a screening potential Vsc(r). The external perturbing potential is assumed to oscillate at a single frequency ω, so that the model yields via a self-consistent field (SCF) method adynamic dielectric function denoted by εRPA(k, ω).The contribution to the dielectric function from the total electric potential is assumed to average out, so that only the potential at wave vector k contributes. This is what is meant by the random phase approximation. The resulting dielectric function, also called the Lindhard dielectric function, correctly predicts a number of properties of the electron gas, including plasmons.The RPA was criticized in the late 50's for overcounting the degrees of freedom and the call for justification led to intense work among theoretical physicists. In a seminal paper Murray Gell-Mann and Keith Brueckner showed that the RPA can be derived from a summation of leading-order chain Feynman diagrams in a dense electron gas.The consistency in these results became an important justification and motivated a very strong growth in theoretical physics in the late 50's and 60's.".
- Random_phase_approximation thumbnail Random_phase_approximation_ring_diagrams.png?width=300.
- Random_phase_approximation wikiPageID "8008294".
- Random_phase_approximation wikiPageLength "5349".
- Random_phase_approximation wikiPageOutDegree "17".
- Random_phase_approximation wikiPageRevisionID "655228954".
- Random_phase_approximation wikiPageWikiLink Category:Condensed_matter_physics.
- Random_phase_approximation wikiPageWikiLink Condensed_matter_physics.
- Random_phase_approximation wikiPageWikiLink David_Bohm.
- Random_phase_approximation wikiPageWikiLink David_Pines.
- Random_phase_approximation wikiPageWikiLink Dielectric.
- Random_phase_approximation wikiPageWikiLink Electron.
- Random_phase_approximation wikiPageWikiLink Feynman_diagram.
- Random_phase_approximation wikiPageWikiLink Hartree–Fock_method.
- Random_phase_approximation wikiPageWikiLink Keith_Brueckner.
- Random_phase_approximation wikiPageWikiLink Lindhard_theory.
- Random_phase_approximation wikiPageWikiLink Murray_Gell-Mann.
- Random_phase_approximation wikiPageWikiLink Nuclear_physics.
- Random_phase_approximation wikiPageWikiLink Permittivity.
- Random_phase_approximation wikiPageWikiLink Plasmon.
- Random_phase_approximation wikiPageWikiLink Singular_value_decomposition.
- Random_phase_approximation wikiPageWikiLink Total_electric_potential.
- Random_phase_approximation wikiPageWikiLink File:Random_phase_approximation_ring_diagrams.png.
- Random_phase_approximation wikiPageWikiLinkText "RPA".
- Random_phase_approximation wikiPageWikiLinkText "Random phase approximation".
- Random_phase_approximation wikiPageWikiLinkText "random phase approximation".
- Random_phase_approximation wikiPageWikiLinkText "random-phase approximation".
- Random_phase_approximation wikiPageUsesTemplate Template:Reflist.
- Random_phase_approximation subject Category:Condensed_matter_physics.
- Random_phase_approximation hypernym Method.
- Random_phase_approximation type Software.
- Random_phase_approximation type Physic.
- Random_phase_approximation type Redirect.
- Random_phase_approximation comment "The random phase approximation (RPA) is an approximation method in condensed matter physics and in nuclear physics. It was first introduced by David Bohm and David Pines as an important result in a series of seminal papers of 1952 and 1953. For decades physicists had been trying to incorporate the effect of microscopic quantum mechanical interactions between electrons in the theory of matter.".
- Random_phase_approximation label "Random phase approximation".
- Random_phase_approximation sameAs Q901387.
- Random_phase_approximation sameAs Random-Phase-Approximation.
- Random_phase_approximation sameAs تخمین_تصادفی_فاز.
- Random_phase_approximation sameAs 乱雑位相近似.
- Random_phase_approximation sameAs Przybliżenie_RPA.
- Random_phase_approximation sameAs m.026nc0n.
- Random_phase_approximation sameAs Q901387.
- Random_phase_approximation wasDerivedFrom Random_phase_approximation?oldid=655228954.
- Random_phase_approximation depiction Random_phase_approximation_ring_diagrams.png.
- Random_phase_approximation isPrimaryTopicOf Random_phase_approximation.