1997/12/01 by Giuseppe Mussardo, G. Mussardo, Mussardo, G. · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #Condensed Matter (cond-mat) #Discrete mathematics #FOS: Physical sciences #Mathematics #Mechanical and Optical Resonators #Number theory #Order (exchange) #Philosophy #Physics #Primality test #Prime (order theory) #Prime number #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics #Quantum mechanics #Quantum number #Sequence (biology) #Simple (philosophy) #cond-mat #quant-ph
paper · pdf · doi:10.48550/arxiv.cond-mat/9712010
9 pages, 3 figures
arxiv created 1997/12/01 · openalex publication_date 1997/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A simple criterion is derived in order that a number sequence \cal Sn 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.