Quantum Riemannian geometry of quantum projective spaces
Peer reviewed, Journal article
Published version
Permanent lenke
https://hdl.handle.net/11250/3039303Utgivelsesdato
2022-07-11Metadata
Vis full innførselSamlinger
Originalversjon
https://doi.org/10.1016/j.geomphys.2022.104611Sammendrag
We study the quantum Riemannian geometry of quantum projective spaces of any dimension. In particular, we compute the Riemann and Ricci tensors using previously introduced quantum metrics and quantum Levi-Civita connections. We show that the Riemann tensor is a bimodule map and derive various consequences of this fact. We prove that the Ricci tensor is proportional to the quantum metric, giving a quantum analogue of the Einstein condition, and compute the corresponding scalar curvature.
Utgiver
ElsevierSerie
Journal of Geometry and Physics;Volume 179, September 2022, 104611Tidsskrift
Journal of Geometry and PhysicsOpphavsrett
© 2022 The Author(s)Beslektede innførsler
Viser innførsler beslektet ved tittel, forfatter og emneord.
-
Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices
De Commer, Kenny; Matassa, Marco (Advances in Mathematics;Volume 366, 3 June 2020, 107029, Journal article; Peer reviewed, 2020-06-03)Let U be a connected, simply connected compact Lie group with complexification G. Let u and g be the associated Lie algebras. Let Γ be the Dynkin diagram of g with underlying set I, and let Uq(u) be the associated quantized ... -
What do quantum computing students need to know about quantum physics?
Bungum, Berit; Selstø, Sølve (Peer reviewed; Journal article, 2022)Quantum computing is a rapidly developing technology, and we are experiencing an urgent need for experts in the field. However, there is a lack of traditions, research, and development on to what extent, and how, information ... -
Quantum-Electrodynamical Density-Functional Theory Exemplified by the Quantum Rabi Model
Bakkestuen, Vebjørn Hallberg; Falmår, Vegard; Lotfigolian, Maryam; Penz, Markus; Ruggenthaler, Michael; Laestadius, Andre (Journal of Physical Chemistry A;, Journal article, 2025)The key features of density-functional theory (DFT) within a minimal implementation of quantum electrodynamics are demonstrated, thus allowing to study elementary properties of quantum-electrodynamical density-functional ...