Matches in SemOpenAlex for { <https://semopenalex.org/work/W2084206824> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2084206824 endingPage "4435" @default.
- W2084206824 startingPage "4411" @default.
- W2084206824 abstract "The center-of-mass system of many bodies admits a natural action of the rotation group SO(3). According to the orbit types for the SO(3) action, the center-of-mass system is stratified into three types of strata. The principal stratum consists of nonsingular configurations for which the isotropy subgroup is trivial, and the other two types of strata consist of singular configurations for which the isotropy subgroup is isomorphic with either SO(2) or SO(3). Depending on whether the isotropy subgroup is isomorphic with SO(2) or SO(3), the stratum in question consists of collinear configurations or of a single configuration of the multiple collision. It is shown that the kinetic energy operator is expressed as the sum of rotational and vibrational energy operators on each stratum except for the stratum of multiple collision. The energy operator for nonsingular configurations has singularity at singular configurations. However, the singularity is not essential in the sense that both of the rotational and vibrational energy integrals have a finite value. This can be proved by using the boundary conditions of wave functions at singular configurations for three-body systems, for simplicity. It is shown, in addition, that the energy operator for collinear configurations has also singularity at the multiple collision, but the singularity is not essential either in the sense that the kinetic energy integral is not divergent at the multiple collision. Reduction procedure is applied to the respective energy operators for the nonsingular and the collinear configurations to obtain respective reduced operators, both of which are expressed in terms of internal coordinates." @default.
- W2084206824 created "2016-06-24" @default.
- W2084206824 creator A5023110238 @default.
- W2084206824 creator A5063205994 @default.
- W2084206824 date "2003-09-19" @default.
- W2084206824 modified "2023-09-26" @default.
- W2084206824 title "Stratified reduction of many-body kinetic energy operators" @default.
- W2084206824 cites W1979829107 @default.
- W2084206824 cites W1999644717 @default.
- W2084206824 cites W2000047593 @default.
- W2084206824 cites W2013008589 @default.
- W2084206824 cites W2028844234 @default.
- W2084206824 cites W2045401752 @default.
- W2084206824 cites W2047333389 @default.
- W2084206824 cites W2056008105 @default.
- W2084206824 cites W2130647107 @default.
- W2084206824 cites W3099982083 @default.
- W2084206824 doi "https://doi.org/10.1063/1.1602160" @default.
- W2084206824 hasPublicationYear "2003" @default.
- W2084206824 type Work @default.
- W2084206824 sameAs 2084206824 @default.
- W2084206824 citedByCount "6" @default.
- W2084206824 countsByYear W20842068242016 @default.
- W2084206824 countsByYear W20842068242021 @default.
- W2084206824 crossrefType "journal-article" @default.
- W2084206824 hasAuthorship W2084206824A5023110238 @default.
- W2084206824 hasAuthorship W2084206824A5063205994 @default.
- W2084206824 hasBestOaLocation W20842068241 @default.
- W2084206824 hasConcept C104317684 @default.
- W2084206824 hasConcept C121332964 @default.
- W2084206824 hasConcept C134306372 @default.
- W2084206824 hasConcept C135889238 @default.
- W2084206824 hasConcept C158448853 @default.
- W2084206824 hasConcept C16171025 @default.
- W2084206824 hasConcept C17020691 @default.
- W2084206824 hasConcept C184050105 @default.
- W2084206824 hasConcept C185592680 @default.
- W2084206824 hasConcept C202444582 @default.
- W2084206824 hasConcept C2524010 @default.
- W2084206824 hasConcept C33923547 @default.
- W2084206824 hasConcept C55493867 @default.
- W2084206824 hasConcept C62354387 @default.
- W2084206824 hasConcept C62520636 @default.
- W2084206824 hasConcept C74650414 @default.
- W2084206824 hasConcept C86339819 @default.
- W2084206824 hasConcept C96442724 @default.
- W2084206824 hasConceptScore W2084206824C104317684 @default.
- W2084206824 hasConceptScore W2084206824C121332964 @default.
- W2084206824 hasConceptScore W2084206824C134306372 @default.
- W2084206824 hasConceptScore W2084206824C135889238 @default.
- W2084206824 hasConceptScore W2084206824C158448853 @default.
- W2084206824 hasConceptScore W2084206824C16171025 @default.
- W2084206824 hasConceptScore W2084206824C17020691 @default.
- W2084206824 hasConceptScore W2084206824C184050105 @default.
- W2084206824 hasConceptScore W2084206824C185592680 @default.
- W2084206824 hasConceptScore W2084206824C202444582 @default.
- W2084206824 hasConceptScore W2084206824C2524010 @default.
- W2084206824 hasConceptScore W2084206824C33923547 @default.
- W2084206824 hasConceptScore W2084206824C55493867 @default.
- W2084206824 hasConceptScore W2084206824C62354387 @default.
- W2084206824 hasConceptScore W2084206824C62520636 @default.
- W2084206824 hasConceptScore W2084206824C74650414 @default.
- W2084206824 hasConceptScore W2084206824C86339819 @default.
- W2084206824 hasConceptScore W2084206824C96442724 @default.
- W2084206824 hasIssue "10" @default.
- W2084206824 hasLocation W20842068241 @default.
- W2084206824 hasLocation W20842068242 @default.
- W2084206824 hasOpenAccess W2084206824 @default.
- W2084206824 hasPrimaryLocation W20842068241 @default.
- W2084206824 hasRelatedWork W1964211486 @default.
- W2084206824 hasRelatedWork W1969600843 @default.
- W2084206824 hasRelatedWork W1985427666 @default.
- W2084206824 hasRelatedWork W1986479713 @default.
- W2084206824 hasRelatedWork W2023673867 @default.
- W2084206824 hasRelatedWork W2055461927 @default.
- W2084206824 hasRelatedWork W2063295111 @default.
- W2084206824 hasRelatedWork W2072406906 @default.
- W2084206824 hasRelatedWork W2131731058 @default.
- W2084206824 hasRelatedWork W3098913823 @default.
- W2084206824 hasVolume "44" @default.
- W2084206824 isParatext "false" @default.
- W2084206824 isRetracted "false" @default.
- W2084206824 magId "2084206824" @default.
- W2084206824 workType "article" @default.