Can elementary quantum mechanics explain the Aharonov–Bohm effect?
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Publication:4837342
DOI10.1063/1.531298zbMath0828.47056OpenAlexW2055226688MaRDI QIDQ4837342
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Publication date: 3 July 1995
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531298
Aharonov-Bohm problemdeparture from the basic principles of ordinary quantum mechanicstraditional interpretation of vector potentials
Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)
Related Items (11)
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 ⋮ 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 ⋮ Mathematical justification of the Aharonov-Bohm Hamiltonian ⋮ The role of idealizations in the Aharonov-Bohm effect ⋮ Aharonov–Bohm effect with δ-type interaction
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