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

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arxiv quant-ph/0202091 v1 pith:4T2WP2JP submitted 2002-02-16 quant-ph

Sidney A. Coon , Barry R. Holstein This is my paper · ORCID
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keywords quantumpotentialalthoughanomaliesanomalyarticlebecomesbeen
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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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  1. Bound States of the Schwarzschild Black Hole

    gr-qc 2025-05 conditional novelty 6.0 of 10

    The bound states of the inverted Regge-Wheeler potential are exponentially condensed near zero energy and strongly delocalized, linking black hole overtone instability to long-range potential features.

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