COVARIANT INTEGRAL QUANTIZATIONS AND THEIR APPLICATIONS TO QUANTUM COSMOLOGY
dc.contributor.author | Gazeau , Jean-Pierre | |
dc.date.accessioned | 2017-02-09T11:34:20Z | |
dc.date.available | 2017-02-09T11:34:20Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Acta Polytechnica. 2016, vol. 56, no. 3, p. 173-179. | |
dc.identifier.issn | 1210-2709 (print) | |
dc.identifier.issn | 1805-2363 (online) | |
dc.identifier.uri | http://hdl.handle.net/10467/67263 | |
dc.description.abstract | We present a general formalism for giving a measure space paired with a separable Hilbert space a quantum version based on a normalized positive operator-valued measure. The latter are built from families of density operators labeled by points of the measure space. We especially focus on group representation and probabilistic aspects of these constructions. Simple phase space examples illustrate the procedure: plane (Weyl-Heisenberg symmetry), half-plane (affine symmetry). Interesting applications to quantum cosmology (“smooth bouncing”) for Friedmann-Robertson-Walker metric are presented and those for Bianchi I and IX models are mentioned. | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.publisher | České vysoké učení technické v Praze | cs |
dc.publisher | Czech Technical University in Prague | en |
dc.relation.ispartofseries | Acta Polytechnica | |
dc.relation.uri | https://ojs.cvut.cz/ojs/index.php/ap/article/view/3506 | |
dc.rights | Creative Commons Attribution 4.0 International License | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject | Integral quantization, covariance, POVM, affine group, Weyl-Heisenberg group, coherent states, FRW model, smooth bouncing | en |
dc.title | COVARIANT INTEGRAL QUANTIZATIONS AND THEIR APPLICATIONS TO QUANTUM COSMOLOGY | |
dc.type | article | en |
dc.date.updated | 2017-02-09T11:34:20Z | |
dc.identifier.doi | 10.14311/AP.2016.56.0173 | |
dc.rights.access | openAccess | |
dc.type.status | Peer-reviewed | |
dc.type.version | publishedVersion |
Soubory tohoto záznamu
Tento záznam se objevuje v následujících kolekcích
Kromě případů, kde je uvedeno jinak, licence tohoto záznamu je Creative Commons Attribution 4.0 International License