dc.contributor.author | Dabrowski, Ludwik | |
dc.contributor.author | Jakobsen, Mads Sielemann | |
dc.contributor.author | Landi, Giovanni | |
dc.contributor.author | Luef, Franz | |
dc.date.accessioned | 2021-03-03T11:35:21Z | |
dc.date.available | 2021-03-03T11:35:21Z | |
dc.date.created | 2021-02-11T23:42:48Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Reviews in Mathematical Physics. 2021, 33 . | en_US |
dc.identifier.issn | 0129-055X | |
dc.identifier.uri | https://hdl.handle.net/11250/2731380 | |
dc.description.abstract | We study solitons of general topological charge over noncommutative tori from the perspective of time-frequency analysis. These solitons are associated with vector bundles of higher rank, expressed in terms of vector-valued Gabor frames. We apply the duality theory of Gabor analysis to show that Gaussians are such solitons for any value of a topological charge. Also they solve self/anti-self duality equations resulting from an energy functional for projections over noncommutative tori, and have a reformulation in terms of Gabor frames. As a consequence, the projections generated by Gaussians minimize the energy functional. We also comment on the case of the Moyal plane and the associated continuous vector-valued Gabor frames and show that Gaussians are the only class of solitons there. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | World Scientific Publishing | en_US |
dc.title | Solitons of general topological charge over noncommutative tori | en_US |
dc.type | Peer reviewed | en_US |
dc.type | Journal article | en_US |
dc.description.version | acceptedVersion | en_US |
dc.source.pagenumber | 30 | en_US |
dc.source.volume | 33 | en_US |
dc.source.journal | Reviews in Mathematical Physics | en_US |
dc.identifier.doi | 10.1142/S0129055X21500094 | |
dc.identifier.cristin | 1889035 | |
dc.description.localcode | Locked until 1.2.2022 due to copyright restrictions. This is an [Accepted Manuscript] | en_US |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 1 | |