Matches in SemOpenAlex for { <https://semopenalex.org/work/W2078166594> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W2078166594 abstract "Singular configurations have long been out of consideration in the study of many-particle systems. In this paper we show that a group theoretical method can provide boundary conditions on wavefunctions at singular configurations of many particles. The consequences of this method are qualitatively stated as follows. (i) If the projection of angular momentum on an axis does not vanish, the particles will not be aligned on the axis, i.e. the wavefunction vanishes at collinear configurations along the axis. (ii) If the total angular momentum does not vanish, the simultaneous collision at a point will not take place, i.e. the wavefunction vanishes at the configuration of simultaneous collision. Furthermore, on the assumption of analyticity of the wavefunction at singular configurations, the behaviour of the wavefunction around the singular configurations shows that (a) the larger the projection of angular momentum on an axis becomes, the less the particles are likely to be aligned on the line, and that (b) the more the total angular momentum grows, the less likely the particles are to collide at a point. The proof is carried out for three-body systems by transforming the power series expansion of a wavefunction into a Fourier series expansion in terms of the angular momentum eigenfunctions, in both cases of collinear configurations and of the triple collision, without reference to the Hamiltonian operator. These results are described quantitatively in terms of the angular momentum quantum numbers in propositions 1 and 3 in the text." @default.
- W2078166594 created "2016-06-24" @default.
- W2078166594 creator A5018316356 @default.
- W2078166594 creator A5023110238 @default.
- W2078166594 date "2004-01-06" @default.
- W2078166594 modified "2023-10-17" @default.
- W2078166594 title "Boundary conditions on wavefunctions for three bodies at singular configurations" @default.
- W2078166594 cites W100223106 @default.
- W2078166594 cites W1999644717 @default.
- W2078166594 cites W2000047593 @default.
- W2078166594 cites W2028844234 @default.
- W2078166594 cites W2029260469 @default.
- W2078166594 cites W2045401752 @default.
- W2078166594 cites W2056008105 @default.
- W2078166594 cites W2057526430 @default.
- W2078166594 cites W2084206824 @default.
- W2078166594 cites W2130647107 @default.
- W2078166594 cites W3099982083 @default.
- W2078166594 cites W2029523477 @default.
- W2078166594 cites W2063014207 @default.
- W2078166594 doi "https://doi.org/10.1088/0305-4470/37/3/013" @default.
- W2078166594 hasPublicationYear "2004" @default.
- W2078166594 type Work @default.
- W2078166594 sameAs 2078166594 @default.
- W2078166594 citedByCount "1" @default.
- W2078166594 crossrefType "journal-article" @default.
- W2078166594 hasAuthorship W2078166594A5018316356 @default.
- W2078166594 hasAuthorship W2078166594A5023110238 @default.
- W2078166594 hasConcept C113603373 @default.
- W2078166594 hasConcept C121332964 @default.
- W2078166594 hasConcept C126255220 @default.
- W2078166594 hasConcept C128803854 @default.
- W2078166594 hasConcept C130787639 @default.
- W2078166594 hasConcept C150454350 @default.
- W2078166594 hasConcept C155675718 @default.
- W2078166594 hasConcept C158693339 @default.
- W2078166594 hasConcept C182310444 @default.
- W2078166594 hasConcept C20782240 @default.
- W2078166594 hasConcept C33923547 @default.
- W2078166594 hasConcept C45193367 @default.
- W2078166594 hasConcept C62520636 @default.
- W2078166594 hasConcept C74650414 @default.
- W2078166594 hasConcept C9872702 @default.
- W2078166594 hasConceptScore W2078166594C113603373 @default.
- W2078166594 hasConceptScore W2078166594C121332964 @default.
- W2078166594 hasConceptScore W2078166594C126255220 @default.
- W2078166594 hasConceptScore W2078166594C128803854 @default.
- W2078166594 hasConceptScore W2078166594C130787639 @default.
- W2078166594 hasConceptScore W2078166594C150454350 @default.
- W2078166594 hasConceptScore W2078166594C155675718 @default.
- W2078166594 hasConceptScore W2078166594C158693339 @default.
- W2078166594 hasConceptScore W2078166594C182310444 @default.
- W2078166594 hasConceptScore W2078166594C20782240 @default.
- W2078166594 hasConceptScore W2078166594C33923547 @default.
- W2078166594 hasConceptScore W2078166594C45193367 @default.
- W2078166594 hasConceptScore W2078166594C62520636 @default.
- W2078166594 hasConceptScore W2078166594C74650414 @default.
- W2078166594 hasConceptScore W2078166594C9872702 @default.
- W2078166594 hasLocation W20781665941 @default.
- W2078166594 hasOpenAccess W2078166594 @default.
- W2078166594 hasPrimaryLocation W20781665941 @default.
- W2078166594 hasRelatedWork W1538038363 @default.
- W2078166594 hasRelatedWork W1556508989 @default.
- W2078166594 hasRelatedWork W1977673410 @default.
- W2078166594 hasRelatedWork W2057090891 @default.
- W2078166594 hasRelatedWork W2094931821 @default.
- W2078166594 hasRelatedWork W2100405323 @default.
- W2078166594 hasRelatedWork W2143787046 @default.
- W2078166594 hasRelatedWork W2168166890 @default.
- W2078166594 hasRelatedWork W2312325027 @default.
- W2078166594 hasRelatedWork W4206452777 @default.
- W2078166594 isParatext "false" @default.
- W2078166594 isRetracted "false" @default.
- W2078166594 magId "2078166594" @default.
- W2078166594 workType "article" @default.