Two approaches to understanding the idealizations that arise in the Aharonov-Bohm (AB) effect are presented. It is argued that the standard 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 said idealizations is examined via a minimal model explanatory scheme.
Philosophy Seminar Series
Date: Thursday, 30 June 2016
Time: 2pm – 4pm
Venue: AS3 #05-23
Speaker: Dr Elay Shech
Moderator: A/P Axel Gelfert
About the Speaker:
Dr Elay Shech is an Assistant Professor at Auburn University, Alabama, and is currently an Isaac Mannaseh Meyer Fellow in the Department of Philosophy at NUS. His work primarily concerns the nature and role of idealizations and representations in the sciences and, more specifically, in condensed matter physics. His work has appeared journals such as Foundations of Physics, Synthese, and Philosophy of Science.