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

Matteo Gallone; Alessandro Michelangeli; Eugenio Pozzoli

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

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Matteo Gallone

Function : Author

Scuola Internazionale Superiore di Studi Avanzati / International School for Advanced Studies

Alessandro Michelangeli

Function : Author

University of Bonn

Eugenio Pozzoli

Function : Author

Control And GEometry

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

Domains

Mathematics [math]

Fichier principal

GMP-Grushin2.pdf (608.67 Ko)

Origin : Files produced by the author(s)

Eugenio Pozzoli : Connect in order to contact the contributor

https://hal.inria.fr/hal-03079681

Submitted on : Thursday, December 17, 2020-12:21:23 PM

Last modification on : Wednesday, February 8, 2023-5:11:16 PM

Long-term archiving on: Thursday, March 18, 2021-7:09:29 PM

Dates and versions

hal-03079681 , version 1 (17-12-2020)

Identifiers

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

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