Anomalies in Quantum Mechanics: the 1/r^2 Potential

Details Anomalies in Quantum Mechanics: the 1/r^2 Potential Anomalies in Quantum Mechanics: the 1/r^2 Potential

2002-02-16

arxiv.org/abs/quant-ph/0202091v1

Physics

Quantum Physics

16 page latex file; to be published in Am. J. Phys

Scientific paper

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.

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