FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2024178002> ?p ?o ?g. }

• W2024178002 endingPage "295" @default.
• W2024178002 startingPage "266" @default.
• W2024178002 abstract "A theoretical description of the ground state and low excited states of liquid He4 is developed in terms of a set of correlated basis functions. We start from a simple correlated trial function ψ0 suitable for an approximate description of the ground state under the assumption of a strong repulsive force when two particles approach closely. The function ψ0 and a set of model functions ϕn are used to construct a set, ψn = ψ0ϕn, of linearly independent correlated basis functions. Matrix elements of the identity and Hamiltonian operator are evaluated by systematic application of a generalized Kirkwood type superposition approximation. A normalized, orthogonal basis |en> is constructed from linear combinations of the functions ψm; the associated matrix elements 〈en |H| em〉 vanish everywhere except on the three diagonals m = n, n ± 1. This result is a consequence of an appropriate choice of the model functions and use of the superposition approximation in evaluating the matrix elements. At this point is it proper to speak of a free phonon description. A final approximate diagonalization, neglecting phonon-phonon interaction, yields explicit formulas for the ground state energy and the momentum dependence of the phonon energy. The analogy with Bogoliubov's treatment of the boson system, using uncorrelated basis functions is very close as is also the relation to Feynman's theory of the excitation energies. A parallel analysis is successful with ψ0 taken to be the correct ground-state eigenfunction. In this case the matrix elements of the phonon-phonon interaction can be expressed completely in terms of the elementary liquid structure function as given by the analysis of x-ray diffraction at low temperatures. The way is open to an accurate evaluation of the phonon energy as a function of momentum (the Landau curve) and a corresponding accurate evaluation of the thermodynamic properties of the liquid at low temperatures." @default.
• W2024178002 created "2016-06-24" @default.
• W2024178002 creator A5016724536 @default.
• W2024178002 creator A5068200700 @default.
• W2024178002 date "1961-08-01" @default.
• W2024178002 modified "2023-10-10" @default.
• W2024178002 title "Perturbation method for low states of a many-particle boson system" @default.
• W2024178002 cites W1970344935 @default.
• W2024178002 cites W1980420720 @default.
• W2024178002 cites W1981590156 @default.
• W2024178002 cites W1994654182 @default.
• W2024178002 cites W2003454441 @default.
• W2024178002 cites W2006406715 @default.
• W2024178002 cites W2018397372 @default.
• W2024178002 cites W2033665508 @default.
• W2024178002 cites W2041839291 @default.
• W2024178002 cites W2043824501 @default.
• W2024178002 cites W2047968614 @default.
• W2024178002 cites W2057310818 @default.
• W2024178002 cites W2067808150 @default.
• W2024178002 cites W2068220853 @default.
• W2024178002 cites W2085937910 @default.
• W2024178002 cites W2088298451 @default.
• W2024178002 cites W2088659212 @default.
• W2024178002 cites W2126279524 @default.
• W2024178002 cites W2169554039 @default.
• W2024178002 cites W2226857920 @default.
• W2024178002 cites W4236869845 @default.
• W2024178002 doi "https://doi.org/10.1016/0003-4916(61)90015-x" @default.
• W2024178002 hasPublicationYear "1961" @default.
• W2024178002 type Work @default.
• W2024178002 sameAs 2024178002 @default.
• W2024178002 citedByCount "183" @default.
• W2024178002 countsByYear W20241780022012 @default.
• W2024178002 countsByYear W20241780022014 @default.
• W2024178002 countsByYear W20241780022015 @default.
• W2024178002 countsByYear W20241780022017 @default.
• W2024178002 countsByYear W20241780022018 @default.
• W2024178002 countsByYear W20241780022019 @default.
• W2024178002 countsByYear W20241780022020 @default.
• W2024178002 countsByYear W20241780022023 @default.
• W2024178002 crossrefType "journal-article" @default.
• W2024178002 hasAuthorship W2024178002A5016724536 @default.
• W2024178002 hasAuthorship W2024178002A5068200700 @default.
• W2024178002 hasConcept C113603373 @default.
• W2024178002 hasConcept C121332964 @default.
• W2024178002 hasConcept C126255220 @default.
• W2024178002 hasConcept C128803854 @default.
• W2024178002 hasConcept C130787639 @default.
• W2024178002 hasConcept C158693339 @default.
• W2024178002 hasConcept C27753989 @default.
• W2024178002 hasConcept C33923547 @default.
• W2024178002 hasConcept C37914503 @default.
• W2024178002 hasConcept C5917680 @default.
• W2024178002 hasConcept C62520636 @default.
• W2024178002 hasConcept C65574998 @default.
• W2024178002 hasConcept C69523127 @default.
• W2024178002 hasConcept C79118098 @default.
• W2024178002 hasConceptScore W2024178002C113603373 @default.
• W2024178002 hasConceptScore W2024178002C121332964 @default.
• W2024178002 hasConceptScore W2024178002C126255220 @default.
• W2024178002 hasConceptScore W2024178002C128803854 @default.
• W2024178002 hasConceptScore W2024178002C130787639 @default.
• W2024178002 hasConceptScore W2024178002C158693339 @default.
• W2024178002 hasConceptScore W2024178002C27753989 @default.
• W2024178002 hasConceptScore W2024178002C33923547 @default.
• W2024178002 hasConceptScore W2024178002C37914503 @default.
• W2024178002 hasConceptScore W2024178002C5917680 @default.
• W2024178002 hasConceptScore W2024178002C62520636 @default.
• W2024178002 hasConceptScore W2024178002C65574998 @default.
• W2024178002 hasConceptScore W2024178002C69523127 @default.
• W2024178002 hasConceptScore W2024178002C79118098 @default.
• W2024178002 hasIssue "2" @default.
• W2024178002 hasLocation W20241780021 @default.
• W2024178002 hasOpenAccess W2024178002 @default.
• W2024178002 hasPrimaryLocation W20241780021 @default.
• W2024178002 hasRelatedWork W1977264433 @default.
• W2024178002 hasRelatedWork W1989636425 @default.
• W2024178002 hasRelatedWork W2057370678 @default.
• W2024178002 hasRelatedWork W2245403906 @default.
• W2024178002 hasRelatedWork W2262604762 @default.
• W2024178002 hasRelatedWork W2372481764 @default.
• W2024178002 hasRelatedWork W2393344178 @default.
• W2024178002 hasRelatedWork W2495930062 @default.
• W2024178002 hasRelatedWork W4286382504 @default.
• W2024178002 hasRelatedWork W4308749380 @default.
• W2024178002 hasVolume "15" @default.
• W2024178002 isParatext "false" @default.
• W2024178002 isRetracted "false" @default.
• W2024178002 magId "2024178002" @default.
• W2024178002 workType "article" @default.