Boundary effects on the magnetic Hamiltonian dynamics in two dimensions

DOI10.4171/LEM/64-3/4-7zbMath1435.70034arXiv1806.05395WikidataQ127459905 ScholiaQ127459905MaRDI QIDQ2327750

Nicolas Raymond, Duc Thọ Nguyen, San Vũ Ngoc

Publication date: 15 October 2019

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05395

zbMATH Keywords

dynamicsscatteringboundaryconfinementmagnetic Hamiltonian

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical systems in classical and celestial mechanics (37N05)

Cites Work

• Unnamed Item
• Magnetic wells in dimension three
• On confining potentials and essential self-adjointness for Schrödinger operators on bounded domains in \(\mathbb R^n\)
• On essential self-adjointness for magnetic Schrödinger and Pauli operators on the unit disc in \({\mathbb {R}^2}\)
• Confining quantum particles with a purely magnetic field
• Geometry and spectrum in 2D magnetic wells
• The Hamiltonian dynamics of planar magnetic confinement
• The motion of a charged particle on a Riemannian surface under a non-zero magnetic field

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