Mathematical justification of the Aharonov-Bohm Hamiltonian

DOI10.1007/s10955-008-9631-yzbMath1162.81372arXiv0810.0684OpenAlexW2135683366MaRDI QIDQ1012681

César R. de Oliveira, Marciano Pereira

Publication date: 22 April 2009

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.0684

zbMATH Keywords

strong resolvent convergenceAharonov-Bohm hamiltonianfinite solenoid

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (13)

Critical evaluation of the neoclassical model for the equilibrium electrostatic field in a tokamak ⋮ The non-ideal theory of the Aharonov-Bohm effect ⋮ Two approaches to fractional statistics in the quantum Hall effect: idealizations and the curious case of the anyon ⋮ Impenetrability of Aharonov-Bohm solenoids: proof of norm resolvent convergence ⋮ Quantum singular operator limits of thin Dirichlet tubes via \(\Gamma\)-convergence ⋮ 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 ⋮ Norm convergence of self-adjoint extensions of the Aharonov-Bohm Hamiltonian as solenoid length goes to infinity ⋮ The Aharonov–Bohm effect and Tonomura et al. experiments: Rigorous results ⋮ Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds ⋮ Diffraction of the Aharonov-Bohm Hamiltonian ⋮ The role of idealizations in the Aharonov-Bohm effect

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