The Quantum Mechanical Potential for the Prime Numbers

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dc.creatorMussardo, G.
dc.date1997-12-01
dc.date.accessioned2026-07-07T03:09:32Z
dc.date.available2026-07-07T03:09:32Z
dc.descriptionA simple criterion is derived in order that a number sequence ${\cal S}_n$ is a permitted spectrum of a quantized system. The sequence of the prime numbers fulfils the criterion and the corresponding one-dimensional quantum potential is explicitly computed in a semi-classical approximation. The existence of such a potential implies that the primality testing can in principle be resolved by the sole use of physical laws.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9712010
dc.identifierhttp://arxiv.org/abs/cond-mat/9712010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27926
dc.subjectCondensed Matter
dc.subjectQuantum Physics
dc.titleThe Quantum Mechanical Potential for the Prime Numbers
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