Matches in SemOpenAlex for { <https://semopenalex.org/work/W3178276070> ?p ?o ?g. }
Showing items 1 to 80 of
80
with 100 items per page.
- W3178276070 endingPage "2150166" @default.
- W3178276070 startingPage "2150166" @default.
- W3178276070 abstract "When discussing consequences of symmetries of dynamical systems based on Noether’s first theorem, most standard textbooks on classical or quantum mechanics present a conclusion stating that a global continuous Lie symmetry implies the existence of a time-independent conserved Noether charge which is the generator of the action on phase space of that symmetry, and which necessarily must as well commute with the Hamiltonian. However this need not be so, nor does that statement do justice to the complete scope and reach of Noether’s first theorem. Rather a much less restrictive statement applies, namely, that the corresponding Noether charge as an observable over phase space may in fact possess an explicit time dependency, and yet define a constant of the motion by having a commutator with the Hamiltonian which is nonvanishing, thus indeed defining a dynamical conserved quantity. Furthermore, and this certainly within the Hamiltonian formulation, the converse statement is valid as well, namely, that any dynamical constant of motion is necessarily the Noether charge of some symmetry leaving the system’s action invariant up to some total time derivative contribution. This contribution revisits these different points and their consequences, straightaway within the Hamiltonian formulation which is the most appropriate for such issues. Explicit illustrations are also provided through three general but simple enough classes of systems." @default.
- W3178276070 created "2021-07-19" @default.
- W3178276070 creator A5000787067 @default.
- W3178276070 creator A5041952713 @default.
- W3178276070 date "2021-08-31" @default.
- W3178276070 modified "2023-10-01" @default.
- W3178276070 title "Noether symmetries, dynamical constants of motion, and spectrum generating algebras" @default.
- W3178276070 cites W2051816500 @default.
- W3178276070 cites W2073509899 @default.
- W3178276070 cites W2146170051 @default.
- W3178276070 cites W2785078945 @default.
- W3178276070 cites W3008231877 @default.
- W3178276070 cites W3098714916 @default.
- W3178276070 cites W3099187476 @default.
- W3178276070 cites W3101313890 @default.
- W3178276070 cites W648698604 @default.
- W3178276070 doi "https://doi.org/10.1142/s0217751x21501669" @default.
- W3178276070 hasPublicationYear "2021" @default.
- W3178276070 type Work @default.
- W3178276070 sameAs 3178276070 @default.
- W3178276070 citedByCount "1" @default.
- W3178276070 countsByYear W31782760702023 @default.
- W3178276070 crossrefType "journal-article" @default.
- W3178276070 hasAuthorship W3178276070A5000787067 @default.
- W3178276070 hasAuthorship W3178276070A5041952713 @default.
- W3178276070 hasBestOaLocation W31782760702 @default.
- W3178276070 hasConcept C121332964 @default.
- W3178276070 hasConcept C121770821 @default.
- W3178276070 hasConcept C126255220 @default.
- W3178276070 hasConcept C130787639 @default.
- W3178276070 hasConcept C151342819 @default.
- W3178276070 hasConcept C2524010 @default.
- W3178276070 hasConcept C2778242569 @default.
- W3178276070 hasConcept C32848918 @default.
- W3178276070 hasConcept C33332235 @default.
- W3178276070 hasConcept C33923547 @default.
- W3178276070 hasConcept C37914503 @default.
- W3178276070 hasConcept C53469067 @default.
- W3178276070 hasConcept C62520636 @default.
- W3178276070 hasConcept C71914180 @default.
- W3178276070 hasConcept C74650414 @default.
- W3178276070 hasConcept C80892491 @default.
- W3178276070 hasConcept C96469262 @default.
- W3178276070 hasConceptScore W3178276070C121332964 @default.
- W3178276070 hasConceptScore W3178276070C121770821 @default.
- W3178276070 hasConceptScore W3178276070C126255220 @default.
- W3178276070 hasConceptScore W3178276070C130787639 @default.
- W3178276070 hasConceptScore W3178276070C151342819 @default.
- W3178276070 hasConceptScore W3178276070C2524010 @default.
- W3178276070 hasConceptScore W3178276070C2778242569 @default.
- W3178276070 hasConceptScore W3178276070C32848918 @default.
- W3178276070 hasConceptScore W3178276070C33332235 @default.
- W3178276070 hasConceptScore W3178276070C33923547 @default.
- W3178276070 hasConceptScore W3178276070C37914503 @default.
- W3178276070 hasConceptScore W3178276070C53469067 @default.
- W3178276070 hasConceptScore W3178276070C62520636 @default.
- W3178276070 hasConceptScore W3178276070C71914180 @default.
- W3178276070 hasConceptScore W3178276070C74650414 @default.
- W3178276070 hasConceptScore W3178276070C80892491 @default.
- W3178276070 hasConceptScore W3178276070C96469262 @default.
- W3178276070 hasLocation W31782760701 @default.
- W3178276070 hasLocation W31782760702 @default.
- W3178276070 hasOpenAccess W3178276070 @default.
- W3178276070 hasPrimaryLocation W31782760701 @default.
- W3178276070 hasRelatedWork W1628035817 @default.
- W3178276070 hasRelatedWork W1995188315 @default.
- W3178276070 hasRelatedWork W2023053776 @default.
- W3178276070 hasRelatedWork W2034454300 @default.
- W3178276070 hasRelatedWork W2051366210 @default.
- W3178276070 hasRelatedWork W2079325422 @default.
- W3178276070 hasRelatedWork W2112581988 @default.
- W3178276070 hasRelatedWork W2400616458 @default.
- W3178276070 hasRelatedWork W52083601 @default.
- W3178276070 hasRelatedWork W207526291 @default.
- W3178276070 isParatext "false" @default.
- W3178276070 isRetracted "false" @default.
- W3178276070 magId "3178276070" @default.
- W3178276070 workType "article" @default.