FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2000420722> ?p ?o ?g. }

• W2000420722 endingPage "302" @default.
• W2000420722 startingPage "252" @default.
• W2000420722 abstract "Abstract The long-wavelength excitations in a simple model of a dilute Bose gas at zero temperature are investigated from a purely microscopic viewpoint. The role of the interaction and the effects of the condensate are emphasized in a dielectric formulation, in which the response functions are expressed in terms of regular functions that do not involve an isolated single-interaction line nor an isolated single-particle line. Local number conservation is incorporated into the formulation by the generalized Ward identities, which are used to express the regular functions involving the density in terms of regular functions involving the longitudinal current. A perturbation expansion is then developed for the regular functions, producing to a given order in the perturbation expansion an elementary excitation spectrum without a gap and simultaneously response functions that obey local number conservation and related sum rules. Explicit results to the first order beyond the Bogoliubov approximation in a simple one-parameter model are obtained for the elementary excitation spectrum ω k , the dynamic structure function S ( k , ω), the associated structure function S m ( k ), and the one-particle spectral function A ( k , ω), as functions of the wavevector k and frequency ω. These results display the sharing of the gapless spectrum ω k by the various response functions and are used to confirm that the sum rules of interest are satisfied. It is shown that ω k and some of the S m ( k ) are not analytic functions of k in the long wavelength limit. The dynamic structure function S ( k , ω) can be conveniently separated into three parts: a one-phonon term which exhausts the f sum rule, a backflow term, and a background term. The backflow contribution to the static structure function S 0 ( k ) leads to the breakdown of the one-phonon Feynman relation at order k 3 . Both S ( k , ω) and A ( k , ω) display broad backgrounds because of two-phonon excitations. Simple arguments are given to indicate that some of the qualitative features found for various physical quantities in the first-order model calculation might also be found in superfluid helium." @default.
• W2000420722 created "2016-06-24" @default.
• W2000420722 creator A5031998394 @default.
• W2000420722 creator A5048076528 @default.
• W2000420722 date "1974-04-01" @default.
• W2000420722 modified "2023-10-18" @default.
• W2000420722 title "Long-wavelength excitations in a Bose gas at zero temperature" @default.
• W2000420722 cites W1976170914 @default.
• W2000420722 cites W1982324887 @default.
• W2000420722 cites W1991364175 @default.
• W2000420722 cites W1997957343 @default.
• W2000420722 cites W2000023623 @default.
• W2000420722 cites W2014797133 @default.
• W2000420722 cites W2021244694 @default.
• W2000420722 cites W2024015823 @default.
• W2000420722 cites W2025389409 @default.
• W2000420722 cites W2041477606 @default.
• W2000420722 cites W2057589351 @default.
• W2000420722 cites W2059643341 @default.
• W2000420722 cites W2060395581 @default.
• W2000420722 cites W2061932140 @default.
• W2000420722 cites W2068220853 @default.
• W2000420722 cites W2072872008 @default.
• W2000420722 cites W2076576441 @default.
• W2000420722 cites W324928924 @default.
• W2000420722 cites W2060527541 @default.
• W2000420722 cites W2075701224 @default.
• W2000420722 doi "https://doi.org/10.1016/0003-4916(74)90198-5" @default.
• W2000420722 hasPublicationYear "1974" @default.
• W2000420722 type Work @default.
• W2000420722 sameAs 2000420722 @default.
• W2000420722 citedByCount "64" @default.
• W2000420722 countsByYear W20004207222014 @default.
• W2000420722 countsByYear W20004207222015 @default.
• W2000420722 countsByYear W20004207222016 @default.
• W2000420722 countsByYear W20004207222017 @default.
• W2000420722 countsByYear W20004207222019 @default.
• W2000420722 countsByYear W20004207222020 @default.
• W2000420722 crossrefType "journal-article" @default.
• W2000420722 hasAuthorship W2000420722A5031998394 @default.
• W2000420722 hasAuthorship W2000420722A5048076528 @default.
• W2000420722 hasBestOaLocation W20004207222 @default.
• W2000420722 hasConcept C121332964 @default.
• W2000420722 hasConcept C138885662 @default.
• W2000420722 hasConcept C204514805 @default.
• W2000420722 hasConcept C2780813799 @default.
• W2000420722 hasConcept C3017509072 @default.
• W2000420722 hasConcept C3079626 @default.
• W2000420722 hasConcept C37589322 @default.
• W2000420722 hasConcept C41895202 @default.
• W2000420722 hasConcept C62520636 @default.
• W2000420722 hasConcept C6260449 @default.
• W2000420722 hasConceptScore W2000420722C121332964 @default.
• W2000420722 hasConceptScore W2000420722C138885662 @default.
• W2000420722 hasConceptScore W2000420722C204514805 @default.
• W2000420722 hasConceptScore W2000420722C2780813799 @default.
• W2000420722 hasConceptScore W2000420722C3017509072 @default.
• W2000420722 hasConceptScore W2000420722C3079626 @default.
• W2000420722 hasConceptScore W2000420722C37589322 @default.
• W2000420722 hasConceptScore W2000420722C41895202 @default.
• W2000420722 hasConceptScore W2000420722C62520636 @default.
• W2000420722 hasConceptScore W2000420722C6260449 @default.
• W2000420722 hasIssue "2" @default.
• W2000420722 hasLocation W20004207221 @default.
• W2000420722 hasLocation W20004207222 @default.
• W2000420722 hasOpenAccess W2000420722 @default.
• W2000420722 hasPrimaryLocation W20004207221 @default.
• W2000420722 hasRelatedWork W1968830423 @default.
• W2000420722 hasRelatedWork W1979532143 @default.
• W2000420722 hasRelatedWork W1984552259 @default.
• W2000420722 hasRelatedWork W2067085018 @default.
• W2000420722 hasRelatedWork W2069376430 @default.
• W2000420722 hasRelatedWork W2076568152 @default.
• W2000420722 hasRelatedWork W2172119653 @default.
• W2000420722 hasRelatedWork W2801759285 @default.
• W2000420722 hasRelatedWork W2887903364 @default.
• W2000420722 hasRelatedWork W3147904605 @default.
• W2000420722 hasVolume "83" @default.
• W2000420722 isParatext "false" @default.
• W2000420722 isRetracted "false" @default.
• W2000420722 magId "2000420722" @default.
• W2000420722 workType "article" @default.