Abstract
In this paper we will take a careful look at the well-known fact that a complete 2π rotation in three dimensional space, while leaving vectors, tensors and generally the integral representations of the rotation group unchanged, causes a sign change in the half-integral spinor representations of the rotation group. First, in a brief introduction, we review the origin of the sign change of spinors by a 2π rotation. Next, we analyze Aharonov and Susskind's (hereafter referred to as A. & S.) (1967) original proposal for detecting such a sign change and compare it with a later proposal1 for detecting the sign change using neutron beams that are coherently split and recombined. While the A. & S. experiment is, we think, conceptually more interesting, the neutron beam experiment has actually been carried out. And finally, we discuss the philosophical significance of the rotationally induced spinor sign change.
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On leave from the Department of Philosophy, Fordham University.
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Weingard, R., Smith, G. Spin and space. Synthese 50, 213–231 (1982). https://doi.org/10.1007/BF00416902
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DOI: https://doi.org/10.1007/BF00416902