0202091v1

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{theory, mechanics, state}
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Anomalies in Quantum Mechanics: the 1/r^2 Potential

Sidney A. Coon, Barry R. Holstein

abstract: An anomaly is said to occur when a symmetry that is valid classically becomes broken as a result of quantization. Although most manifestations of this phenomenon are in the context of quantum field theory, there are at least two cases in quantum mechanics--the two dimensional delta function interaction and the 1/r^2 potential. The former has been treated in this journal; in this article we discuss the physics of the latter together with experimental consequences.

oai_identifier:
oai:arXiv.org:quant-ph/0202091
categories:
quant-ph
comments:
16 page latex file; to be published in Am. J. Phys
arxiv_id:
quant-ph/0202091
created:
2002-02-16

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