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  1. Scientific understanding in the Aharonov‐Bohm effect.Elay Shech - 2022 - Theoria 88 (5):943-971.
    By appealing to resources found in the scientific understanding literature, I identify in what senses idealisations afford understanding in the context of the (magnetic) Aharonov-Bohm effect. Three types of concepts of understanding are discussed: understanding-what, which has to do with understanding a phenomenon; understanding-with, which has to do with understanding a scientific theory; and understanding-why, which has to do with the reason some phenomenon occurs. Consequently, I outline an account of understanding-with that is suggested by the historical controversy surrounding the (...)
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  • Idealizations, essential self-adjointness, and minimal model explanation in the Aharonov–Bohm effect.Shech Elay - 2018 - Synthese 195 (11):4839-4863.
    Two approaches to understanding the idealizations that arise in the Aharonov–Bohm effect are presented. It is argued that a common topological approach, which takes the non-simply connected electron configuration space to be an essential element in the explanation and understanding of the effect, is flawed. An alternative approach is outlined. Consequently, it is shown that the existence and uniqueness of self-adjoint extensions of symmetric operators in quantum mechanics have important implications for philosophical issues. Also, the alleged indispensable explanatory role of (...)
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  • Feynman’s Relativistic Electrodynamics Paradox and the Aharonov-Bohm Effect.Adam Caprez & Herman Batelaan - 2009 - Foundations of Physics 39 (3):295-306.
    An analysis is done of a relativistic paradox posed in the Feynman Lectures of Physics involving two interacting charges. The physical system presented is compared with similar systems that also lead to relativistic paradoxes. The momentum conservation problem for these systems is presented. The relation between the presented analysis and the ongoing debates on momentum conservation in the Aharonov-Bohm problem is discussed.
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