From: "G. Mussardo" <mussardo@mersenne.he.sissa.it> Date: Mon, 1 Dec 1997 14:05:26 GMT (20kb)
Author: G.
Mussardo
Comments: 9 pages, 3 figures
Report-no:
ISAS/EP/97/153, IC/97/199
A 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.