Quantum geometric confinement and dynamical transmission in Grushin cylinder

DOI10.1142/S0129055X22500180zbMath1495.81056arXiv2003.07128MaRDI QIDQ5104560

Eugenio Pozzoli, Matteo Gallone, Alessandro Michelangeli

Publication date: 14 September 2022

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07128

zbMATH Keywords

Laplace-Beltrami operatorFriedrichs extensionalmost-Riemannian structuregeometric quantum confinementGrushin manifoldconstant-fiber direct sumdifferential self-adjoint operatorsKreĭn-Višik-Birman self-adjoint extension theory

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Explicit solutions, first integrals of ordinary differential equations (34A05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of operator theory to differential and integral equations (47N20) Methods of local Riemannian geometry (53B21) Operators on Hilbert spaces (general) (47B02) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Ordinary differential operators (47Exx)

Related Items (3)

Mini-workshop: Zero-range and point-like singular perturbations: for a spillover to analysis, PDE and differential geometry. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ On creating new essential spectrum by self-adjoint extension of gapped operators ⋮ Quantum confinement for the curvature Laplacian \(- \Delta + cK\) on 2D-almost-Riemannian manifolds

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