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Quantum geodesic flows and curvature

dc.contributor.authorBeggs, E
dc.contributor.authorMajid, S
dc.date.accessioned2023-11-28T15:12:49Z
dc.date.available2023-05-23
dc.date.available2023-11-28T15:12:49Z
dc.date.issued2023
dc.identifier.issn0377-9017
dc.identifier.otherARTN 73
dc.identifier.otherARTN 73
dc.identifier.otherARTN 73
dc.identifier.urihttps://qmro.qmul.ac.uk/xmlui/handle/123456789/92342
dc.description.abstractWe study geodesics flows on curved quantum Riemannian geometries using a recent formulation in terms of bimodule connections and completely positive maps. We complete this formalism with a canonical operation on noncommutative vector fields. We show on a classical manifold how the Ricci tensor arises naturally in our approach as a term in the convective derivative of the divergence of the geodesic velocity field and use this to propose a similar object in the noncommutative case. Examples include quantum geodesic flows on the algebra of matrices, fuzzy spheres and the q-sphere.en_US
dc.publisherSpringer Natureen_US
dc.relation.ispartofLETTERS IN MATHEMATICAL PHYSICS
dc.rightsThis item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
dc.rightsAttribution 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/us/*
dc.subjectNoncommutative geometryen_US
dc.subjectQuantum gravityen_US
dc.subjectRicci tensoren_US
dc.subjectQuantum mechanicsen_US
dc.subjectFuzzy sphereen_US
dc.subjectQuantum groupen_US
dc.subjectQuantum sphereen_US
dc.titleQuantum geodesic flows and curvatureen_US
dc.typeArticleen_US
dc.rights.holder© 2023 The Author(s). Published by Springer Nature
dc.identifier.doi10.1007/s11005-023-01687-7
pubs.author-urlhttps://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:001018459800001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=612ae0d773dcbdba3046f6df545e9f6aen_US
pubs.issue3en_US
pubs.notesNot knownen_US
pubs.publication-statusPublisheden_US
pubs.volume113en_US
rioxxterms.funderDefault funderen_US
rioxxterms.identifier.projectDefault projecten_US


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This item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Except where otherwise noted, this item's license is described as This item is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.