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Geometric confinement and dynamical transmission of a quantum particle in Grushin cylinder

Matteo Gallone 1 Alessandro Michelangeli 2 Eugenio Pozzoli 3
1 SISSA / ISAS - Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies
2 University of Bonn
3 CaGE - Control And GEometry
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Keywords : Geometric quantum confinement Grushin manifold Laplace-Beltramioperator almost-Riemannian structure differential self-adjoint operators constant-fibre directsum Friedrichs extension Krein-Visik-Birman self-adjoint extension theory
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-03079681
Contributor : Eugenio Pozzoli Connect in order to contact the contributor
Submitted on : Thursday, December 17, 2020 - 12:21:23 PM
Last modification on : Friday, January 21, 2022 - 3:17:30 AM
Long-term archiving on: : Thursday, March 18, 2021 - 7:09:29 PM

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  • HAL Id : hal-03079681, version 1

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Matteo Gallone, Alessandro Michelangeli, Eugenio Pozzoli. Geometric confinement and dynamical transmission of a quantum particle in Grushin cylinder. 2020. ⟨hal-03079681⟩

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