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dc.contributor.authorBolte, Jens
dc.contributor.authorEgger, Sebastian
dc.contributor.authorKeppeler, Stefan
dc.date.accessioned2016-11-17T11:54:28Z
dc.date.available2016-11-17T11:54:28Z
dc.date.issued2016-11-17
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1262
dc.descriptionResearch in Pairs 2016en_US
dc.description.abstractWe construct and study a version of the Berry-Keating operator with a built-in truncation of the phase space, which we choose to be a two-dimensional torus. The operator is a Weyl quantisation of the classical Hamiltonian for an inverted harmonic oscillator, producing a difference operator on a finite, periodic lattice. We investigate the continuum and the infinite-volume limit of our model in conjunction with the semiclassical limit. Using semiclassical methods, we show that a specific combination of the limits leads to a logarithmic mean spectral density as it was anticipated by Berry and Keating.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2016,23
dc.titleThe Berry-Keating Operator on a Latticeen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2016-23
local.scientificprogramResearch in Pairs 2016en_US
local.series.idOWP-2016-23
dc.identifier.urnurn:nbn:de:101:1-201611101960
dc.identifier.ppn1653760427


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