Matches in SemOpenAlex for { <https://semopenalex.org/work/W2077220175> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W2077220175 abstract "In this paper we revisit the quantitative formulation of the Heisenberg uncertainty principle. The primary version of this principle establishes the impossibility of refined simultaneous measurement of position x and momentum u for a (1‐dimensional) quantum particle in terms of variances: 〈‖x‖2〉〈‖u‖2〉⩾1/4. Since this inequality applies provided each variance exists, some authors proposed entropic versions of this principle as an alternative (employing Shannon’s or Rényi’s entropies). As another alternative, we consider moments‐based formulations and show that inequalities involving moments of orders other than 2 can be found. Our procedure is based on the Rényi entropic versions of the Heisenberg relation together with the search for the maximal entropy under statistical moments’ constraints (〈‖x‖a〉 and 〈‖u‖b〉). Our result improves a relation proposed very recently by Dehesa et al.. [1] where the same approach was used but starting with the Shannon version of the entropic uncertainty relation. Furthermore, we show that when a =b, the best bound we can find with our approach coincides with that of Ref. [1] and, in addition, for a = b = 2 the variance‐based Heisenberg relation is recovered. Finally, we illustrate our results in the cases of d‐dimensional hydrogenic systems." @default.
- W2077220175 created "2016-06-24" @default.
- W2077220175 creator A5010176735 @default.
- W2077220175 creator A5041990954 @default.
- W2077220175 creator A5048608904 @default.
- W2077220175 creator A5053141872 @default.
- W2077220175 creator A5073505602 @default.
- W2077220175 creator A5079737709 @default.
- W2077220175 creator A5090329151 @default.
- W2077220175 date "2011-01-01" @default.
- W2077220175 modified "2023-09-23" @default.
- W2077220175 title "On moments-based Heisenberg inequalities" @default.
- W2077220175 cites W2099111195 @default.
- W2077220175 cites W71864863 @default.
- W2077220175 doi "https://doi.org/10.1063/1.3573615" @default.
- W2077220175 hasPublicationYear "2011" @default.
- W2077220175 type Work @default.
- W2077220175 sameAs 2077220175 @default.
- W2077220175 citedByCount "0" @default.
- W2077220175 crossrefType "proceedings-article" @default.
- W2077220175 hasAuthorship W2077220175A5010176735 @default.
- W2077220175 hasAuthorship W2077220175A5041990954 @default.
- W2077220175 hasAuthorship W2077220175A5048608904 @default.
- W2077220175 hasAuthorship W2077220175A5053141872 @default.
- W2077220175 hasAuthorship W2077220175A5073505602 @default.
- W2077220175 hasAuthorship W2077220175A5079737709 @default.
- W2077220175 hasAuthorship W2077220175A5090329151 @default.
- W2077220175 hasConcept C105795698 @default.
- W2077220175 hasConcept C106301342 @default.
- W2077220175 hasConcept C121332964 @default.
- W2077220175 hasConcept C121864883 @default.
- W2077220175 hasConcept C121955636 @default.
- W2077220175 hasConcept C144133560 @default.
- W2077220175 hasConcept C17744445 @default.
- W2077220175 hasConcept C179254644 @default.
- W2077220175 hasConcept C181543814 @default.
- W2077220175 hasConcept C196083921 @default.
- W2077220175 hasConcept C199539241 @default.
- W2077220175 hasConcept C25343380 @default.
- W2077220175 hasConcept C2776261394 @default.
- W2077220175 hasConcept C28826006 @default.
- W2077220175 hasConcept C33923547 @default.
- W2077220175 hasConcept C37731324 @default.
- W2077220175 hasConcept C41008148 @default.
- W2077220175 hasConcept C52622258 @default.
- W2077220175 hasConcept C62520636 @default.
- W2077220175 hasConcept C77088390 @default.
- W2077220175 hasConcept C84114770 @default.
- W2077220175 hasConceptScore W2077220175C105795698 @default.
- W2077220175 hasConceptScore W2077220175C106301342 @default.
- W2077220175 hasConceptScore W2077220175C121332964 @default.
- W2077220175 hasConceptScore W2077220175C121864883 @default.
- W2077220175 hasConceptScore W2077220175C121955636 @default.
- W2077220175 hasConceptScore W2077220175C144133560 @default.
- W2077220175 hasConceptScore W2077220175C17744445 @default.
- W2077220175 hasConceptScore W2077220175C179254644 @default.
- W2077220175 hasConceptScore W2077220175C181543814 @default.
- W2077220175 hasConceptScore W2077220175C196083921 @default.
- W2077220175 hasConceptScore W2077220175C199539241 @default.
- W2077220175 hasConceptScore W2077220175C25343380 @default.
- W2077220175 hasConceptScore W2077220175C2776261394 @default.
- W2077220175 hasConceptScore W2077220175C28826006 @default.
- W2077220175 hasConceptScore W2077220175C33923547 @default.
- W2077220175 hasConceptScore W2077220175C37731324 @default.
- W2077220175 hasConceptScore W2077220175C41008148 @default.
- W2077220175 hasConceptScore W2077220175C52622258 @default.
- W2077220175 hasConceptScore W2077220175C62520636 @default.
- W2077220175 hasConceptScore W2077220175C77088390 @default.
- W2077220175 hasConceptScore W2077220175C84114770 @default.
- W2077220175 hasLocation W20772201751 @default.
- W2077220175 hasOpenAccess W2077220175 @default.
- W2077220175 hasPrimaryLocation W20772201751 @default.
- W2077220175 hasRelatedWork W2022169642 @default.
- W2077220175 hasRelatedWork W2157883216 @default.
- W2077220175 hasRelatedWork W2336675417 @default.
- W2077220175 hasRelatedWork W2465846204 @default.
- W2077220175 hasRelatedWork W2748966766 @default.
- W2077220175 hasRelatedWork W2897113876 @default.
- W2077220175 hasRelatedWork W3098895776 @default.
- W2077220175 hasRelatedWork W3100941371 @default.
- W2077220175 hasRelatedWork W3216805148 @default.
- W2077220175 hasRelatedWork W4200349441 @default.
- W2077220175 isParatext "false" @default.
- W2077220175 isRetracted "false" @default.
- W2077220175 magId "2077220175" @default.
- W2077220175 workType "article" @default.