Impenetrability of Aharonov-Bohm solenoids: proof of norm resolvent convergence

DOI10.1007/s11005-010-0444-yzbMath1209.82058OpenAlexW1989470459MaRDI QIDQ621818

César R. de Oliveira, Marciano Pereira

Publication date: 28 January 2011

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

Full work available at URL: https://doi.org/10.1007/s11005-010-0444-y

zbMATH Keywords

norm resolvent convergenceAharonov-Bohm Hamiltonianbounded solenoids

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Electromagnetic interaction; quantum electrodynamics (81V10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of statistical mechanics to specific types of physical systems (82D99)

Related Items (5)

Aharonov-Bohm effect without contact with the solenoid ⋮ Two approaches to fractional statistics in the quantum Hall effect: idealizations and the curious case of the anyon ⋮ Dynamical confinement for Schrödinger operators with magnetic potential and Aharonov–Bohm effect ⋮ Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov-Bohm effect ⋮ A new version of the Aharonov-Bohm effect

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