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The Physics Teacher

Rubber Band Bohr Wave Functions

Erlend H. Graf

Published Apr 9, 2009• 0 citations
Publisher

Abstract

A simple apparatus for demonstrating circular standing-wave modes can be made inexpensively using rubber bands and other easily obtained materials.
DOI
10.1119/1.3116845

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The author extends his approach which treats the elementary particle as a standing luminal half wave to the 3-dimensional situation incorporating spin. It is shown that the function representing the circularly polarized standing electromagnetic half wave is a solution to the Dirac equation and the two positive energy solutions turn out to be formed by the forward and the reverse luminal half waves belonging to two different spin states of the standing wave. In the process, the author presents the physical picture behind the spinor representation of the particle. The standing wave structure formed by the circularly polarized luminal wave offers a simple explanation for the zitterbewegung undergone by the electron. Besides, this structure of the half spin particle offers a simple but elegant explanation for the Pauli's exclusion principle.