Matches in SemOpenAlex for { <https://semopenalex.org/work/W2049385340> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W2049385340 endingPage "1011" @default.
- W2049385340 startingPage "1006" @default.
- W2049385340 abstract "The domain space of the Lagrangian for n degrees of freedom is formally a 2n-dimensional space—e.g., for n=1, L=L(x,v)—and the virtual paths associated with Hamilton’s principle are formal paths in that space of states. The requirement that those paths be consistent with physical kinematics can be regarded as a constraint: A particle’s parametric velocity function v(t) and its position function x(t) must satisfy dx/dt−v(t)=0. When the role of this constraint is explicated by maintaining the logical distinction between v and ẋ, the momentum p emerges as a Lagrange multiplier. When the Lagrangian and Hamiltonian are regarded as state functions, it is seen that the integrand in the customary ‘‘modified Hamilton’s principle’’—which involves nonkinematical paths—is not the Lagrangian function L=pv−H but is rather pẋ−H=L+p(ẋ−v). The relationship of that variational condition to canonical transformations is reviewed, and a parsimonious proof is given for the canonical invariance of the Poisson brackets." @default.
- W2049385340 created "2016-06-24" @default.
- W2049385340 creator A5062113518 @default.
- W2049385340 date "1990-10-01" @default.
- W2049385340 modified "2023-10-16" @default.
- W2049385340 title "The role of kinematics in Hamiltonian dynamics: Momentum as a Lagrange multiplier" @default.
- W2049385340 doi "https://doi.org/10.1119/1.16338" @default.
- W2049385340 hasPublicationYear "1990" @default.
- W2049385340 type Work @default.
- W2049385340 sameAs 2049385340 @default.
- W2049385340 citedByCount "1" @default.
- W2049385340 crossrefType "journal-article" @default.
- W2049385340 hasAuthorship W2049385340A5062113518 @default.
- W2049385340 hasConcept C121332964 @default.
- W2049385340 hasConcept C126255220 @default.
- W2049385340 hasConcept C130787639 @default.
- W2049385340 hasConcept C136864674 @default.
- W2049385340 hasConcept C151342819 @default.
- W2049385340 hasConcept C152991086 @default.
- W2049385340 hasConcept C188845816 @default.
- W2049385340 hasConcept C3379466 @default.
- W2049385340 hasConcept C33923547 @default.
- W2049385340 hasConcept C37914503 @default.
- W2049385340 hasConcept C39920418 @default.
- W2049385340 hasConcept C51568863 @default.
- W2049385340 hasConcept C53469067 @default.
- W2049385340 hasConcept C62520636 @default.
- W2049385340 hasConcept C73684929 @default.
- W2049385340 hasConcept C74650414 @default.
- W2049385340 hasConcept C90738871 @default.
- W2049385340 hasConceptScore W2049385340C121332964 @default.
- W2049385340 hasConceptScore W2049385340C126255220 @default.
- W2049385340 hasConceptScore W2049385340C130787639 @default.
- W2049385340 hasConceptScore W2049385340C136864674 @default.
- W2049385340 hasConceptScore W2049385340C151342819 @default.
- W2049385340 hasConceptScore W2049385340C152991086 @default.
- W2049385340 hasConceptScore W2049385340C188845816 @default.
- W2049385340 hasConceptScore W2049385340C3379466 @default.
- W2049385340 hasConceptScore W2049385340C33923547 @default.
- W2049385340 hasConceptScore W2049385340C37914503 @default.
- W2049385340 hasConceptScore W2049385340C39920418 @default.
- W2049385340 hasConceptScore W2049385340C51568863 @default.
- W2049385340 hasConceptScore W2049385340C53469067 @default.
- W2049385340 hasConceptScore W2049385340C62520636 @default.
- W2049385340 hasConceptScore W2049385340C73684929 @default.
- W2049385340 hasConceptScore W2049385340C74650414 @default.
- W2049385340 hasConceptScore W2049385340C90738871 @default.
- W2049385340 hasIssue "10" @default.
- W2049385340 hasLocation W20493853401 @default.
- W2049385340 hasOpenAccess W2049385340 @default.
- W2049385340 hasPrimaryLocation W20493853401 @default.
- W2049385340 hasRelatedWork W132983346 @default.
- W2049385340 hasRelatedWork W1630907557 @default.
- W2049385340 hasRelatedWork W1997258674 @default.
- W2049385340 hasRelatedWork W1998399779 @default.
- W2049385340 hasRelatedWork W2006323999 @default.
- W2049385340 hasRelatedWork W2027225009 @default.
- W2049385340 hasRelatedWork W2058557185 @default.
- W2049385340 hasRelatedWork W2536930022 @default.
- W2049385340 hasRelatedWork W2804174466 @default.
- W2049385340 hasRelatedWork W3098670739 @default.
- W2049385340 hasVolume "58" @default.
- W2049385340 isParatext "false" @default.
- W2049385340 isRetracted "false" @default.
- W2049385340 magId "2049385340" @default.
- W2049385340 workType "article" @default.