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Quantization of Gaussians

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dc.abstract.enOur paper is devoted to the oscillator semigroup, which can be defined as the set of operators whose kernels are centered Gaussian. Equivalently, they can be defined as the Weyl quantization of centered Gaussians. We use the Weyl symbol as the main parametrization of this semigroup. We derive formulas for the tracial and operator norm of the Weyl quantization of Gaussians. We identify the subset of Gaussians, which we call quantum degenerate, where these norms have a singularity.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorDereziński, Jan
dc.contributor.authorKarczmarczyk, Maciej
dc.date.accessioned2024-01-29T02:34:13Z
dc.date.available2024-01-29T02:34:13Z
dc.date.issued2020
dc.description.financeNie dotyczy
dc.identifier.doi10.1007/978-3-030-31531-3_17
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/158941
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/978-3-030-31531-3_17
dc.languageeng
dc.pbn.affiliationmathemathics
dc.publisher.ministerialBirkhäuser Verlag
dc.relation.bookAnalysis as a Tool in Mathematical Physics: In Memory of Boris Pavlov
dc.relation.pages277-304
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleQuantization of Gaussians
dc.typeMonographChapter
dspace.entity.typePublication