Anomalies in Quantum Mechanics: the 1/r^2 Potential
Quantum Physics
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0202091,
title = {Anomalies in Quantum Mechanics: the 1/r^2 Potential},
author = {Sidney A. Coon and Barry R. Holstein},
journal= {arXiv preprint arXiv:quant-ph/0202091},
year = {2015}
}
Comments
16 page latex file; to be published in Am. J. Phys