Matches in SemOpenAlex for { <https://semopenalex.org/work/W4285870115> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4285870115 abstract "We consider momentum operators on intrinsically curved manifolds. Given that the momentum operators are Killing vector fields whose integral curves are geodesics, it is shown that the corresponding manifold is either flat, or otherwise of compact type with positive constant sectional curvature and dimension equal to 1, 3 or 7. Explicit representations of momentum operators and the associated Casimir element will be discussed for the 3-sphere $S^3$. It will be verified that the structure constants of the underlying Lie algebra are proportional to $2hbar/R$, where $R$ is the curvature radius of $S^3$. This results in a countable energy and momentum spectrum of freely moving particles in $S^3$. It is shown that the maximum resolution of the possible momenta is given by the de-Broglie wave length $lambda_R=pi R$, which is identical to the diameter of the manifold. The corresponding canonical position operators are defined in terms of geodesic normal coordinates and the associated commutator relations of position and momentum are established." @default.
- W4285870115 created "2022-07-20" @default.
- W4285870115 creator A5045495728 @default.
- W4285870115 date "2021-05-29" @default.
- W4285870115 modified "2023-09-28" @default.
- W4285870115 title "On momentum operators given by Killing vectors whose integral curves are geodesics" @default.
- W4285870115 doi "https://doi.org/10.48550/arxiv.2105.14345" @default.
- W4285870115 hasPublicationYear "2021" @default.
- W4285870115 type Work @default.
- W4285870115 citedByCount "0" @default.
- W4285870115 crossrefType "posted-content" @default.
- W4285870115 hasAuthorship W4285870115A5045495728 @default.
- W4285870115 hasBestOaLocation W42858701151 @default.
- W4285870115 hasConcept C10138342 @default.
- W4285870115 hasConcept C106881136 @default.
- W4285870115 hasConcept C121332964 @default.
- W4285870115 hasConcept C12520029 @default.
- W4285870115 hasConcept C127413603 @default.
- W4285870115 hasConcept C134306372 @default.
- W4285870115 hasConcept C145620117 @default.
- W4285870115 hasConcept C162324750 @default.
- W4285870115 hasConcept C165818556 @default.
- W4285870115 hasConcept C195065555 @default.
- W4285870115 hasConcept C202444582 @default.
- W4285870115 hasConcept C2524010 @default.
- W4285870115 hasConcept C33923547 @default.
- W4285870115 hasConcept C37914503 @default.
- W4285870115 hasConcept C42448751 @default.
- W4285870115 hasConcept C51568863 @default.
- W4285870115 hasConcept C529865628 @default.
- W4285870115 hasConcept C60718061 @default.
- W4285870115 hasConcept C62520636 @default.
- W4285870115 hasConcept C73648015 @default.
- W4285870115 hasConcept C78519656 @default.
- W4285870115 hasConceptScore W4285870115C10138342 @default.
- W4285870115 hasConceptScore W4285870115C106881136 @default.
- W4285870115 hasConceptScore W4285870115C121332964 @default.
- W4285870115 hasConceptScore W4285870115C12520029 @default.
- W4285870115 hasConceptScore W4285870115C127413603 @default.
- W4285870115 hasConceptScore W4285870115C134306372 @default.
- W4285870115 hasConceptScore W4285870115C145620117 @default.
- W4285870115 hasConceptScore W4285870115C162324750 @default.
- W4285870115 hasConceptScore W4285870115C165818556 @default.
- W4285870115 hasConceptScore W4285870115C195065555 @default.
- W4285870115 hasConceptScore W4285870115C202444582 @default.
- W4285870115 hasConceptScore W4285870115C2524010 @default.
- W4285870115 hasConceptScore W4285870115C33923547 @default.
- W4285870115 hasConceptScore W4285870115C37914503 @default.
- W4285870115 hasConceptScore W4285870115C42448751 @default.
- W4285870115 hasConceptScore W4285870115C51568863 @default.
- W4285870115 hasConceptScore W4285870115C529865628 @default.
- W4285870115 hasConceptScore W4285870115C60718061 @default.
- W4285870115 hasConceptScore W4285870115C62520636 @default.
- W4285870115 hasConceptScore W4285870115C73648015 @default.
- W4285870115 hasConceptScore W4285870115C78519656 @default.
- W4285870115 hasLocation W42858701151 @default.
- W4285870115 hasOpenAccess W4285870115 @default.
- W4285870115 hasPrimaryLocation W42858701151 @default.
- W4285870115 hasRelatedWork W1391450 @default.
- W4285870115 hasRelatedWork W14567860 @default.
- W4285870115 hasRelatedWork W21939440 @default.
- W4285870115 hasRelatedWork W23399485 @default.
- W4285870115 hasRelatedWork W23762003 @default.
- W4285870115 hasRelatedWork W24463213 @default.
- W4285870115 hasRelatedWork W2636359 @default.
- W4285870115 hasRelatedWork W28824338 @default.
- W4285870115 hasRelatedWork W7453093 @default.
- W4285870115 hasRelatedWork W8897170 @default.
- W4285870115 isParatext "false" @default.
- W4285870115 isRetracted "false" @default.
- W4285870115 workType "article" @default.