Quantum confinement for the curvature Laplacian \(- \Delta + cK\) on 2D-almost-Riemannian manifolds

DOI10.1007/s11118-021-09946-9OpenAlexW3197021754WikidataQ115381373 ScholiaQ115381373MaRDI QIDQ2687072

Eugenio Pozzoli, Ivan Beschastnyi, Ugo V. Boscain

Publication date: 1 March 2023

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.03300

zbMATH Keywords

inverse square potentialGrushin planequantum confinementalmost-Riemannian manifoldscoordinate-free quantization proceduresself-adjointness of the Laplacian

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Applications of PDEs on manifolds (58J90)

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