A new version of the Aharonov-Bohm effect

DOI10.1007/s10701-020-00328-6zbMath1436.81052arXiv2002.04544OpenAlexW3103508867MaRDI QIDQ1985948

Renan G. Romano, César R. de Oliveira

Publication date: 7 April 2020

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

Full work available at URL: https://arxiv.org/abs/2002.04544

zbMATH Keywords

Aharonov-Bohm effectself-adjoint extensionsmagnetic potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Motion of charged particles (78A35)

Related Items (3)

Semiclassical spectrum of the Dirichlet–Pauli operator on an annulus ⋮ Dynamical confinement for Schrödinger operators with magnetic potential and Aharonov–Bohm effect ⋮ Aharonov-Casher effect in the presence of spin-dependent potential

Cites Work

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• Impenetrability of Aharonov-Bohm solenoids: proof of norm resolvent convergence
• Classical and quantum motion in an inverse square potential
• High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions
• Self-adjoint extensions in quantum mechanics. General theory and applications to Schrödinger and Dirac equations with singular potentials.
• The Aharonov-Bohm effect and scattering theory
• Effet d'Aharonov-Bohm sur un état borné de l'équation de Schrödinger. (Aharonov-Bohm effect for a bounded state of the Schrödinger equation)
• Mathematical justification of the Aharonov-Bohm Hamiltonian
• On the Aharonov-Bohm Hamiltonian
• The role of idealizations in the Aharonov-Bohm effect
• Elastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive ρ^-2potential
• Significance of Electromagnetic Potentials in the Quantum Theory
• Unitary evolution of the quantum Universe with a Brown–Kuchař dust
• Aharonov–Bohm effect with δ-type interaction
• On the mathematical theory of the Aharonov$ndash$Bohm effect
• Aharonov-Bohm effect without contact with the solenoid
• Can elementary quantum mechanics explain the Aharonov–Bohm effect?
• Scattering and self-adjoint extensions of the Aharonov–Bohm Hamiltonian
• The two dimensional motion of a particle in an inverse square potential: Classical and quantum aspects
• The Refractive Index in Electron Optics and the Principles of Dynamics
• Bound states in one-dimensional quantum \(N\)-body systems with inverse square interaction

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