On Geometric Quantum Confinement in Grushin-Like Manifolds

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dc.contributor.areaMathematicsen_US
dc.contributor.authorGallone, Matteo
dc.contributor.authorMichelangeli, Alessandro
dc.contributor.authorPozzoli, Eugenio
dc.date.accessioned2018-09-19T07:05:15Z
dc.date.available2018-09-19T07:05:15Z
dc.date.issued2018-09
dc.description16 pagesen_US
dc.description.abstractWe study the problem of so-called geometric quantum confinement in a class of two-dimensional incomplete Riemannian manifold with metric of Grushin type. We employ a constant-fibre direct integral scheme, in combination with Weyl's analysis in each fibre, thus fully characterising the regimes of presence and absence of essential self-adjointness of the associated Laplace-Beltrami operator.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35322
dc.language.isoenen_US
dc.miur.area1en_US
dc.relation.firstpage1en_US
dc.relation.ispartofseriesSISSA;36/2018/MATE
dc.relation.lastpage16en_US
dc.subjectGeometric quantum confinementen_US
dc.subjectGrushin manifolden_US
dc.subjectgeodesically (in)complete Riemannian manifolden_US
dc.subjectLaplace-Beltrami operatoren_US
dc.subjectalmost-Riemannian structureen_US
dc.subjectself-adjoint operators in Hilbert spaceen_US
dc.subjectWeyl's limit-point limit-circle criterionen_US
dc.subjectconstant-fibre direct integral.en_US
dc.titleOn Geometric Quantum Confinement in Grushin-Like Manifoldsen_US
dc.typePreprinten_US
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