Physics of Factorization
Quantum Physics
2007-05-23 v1
Abstract
The N distinct prime numbers that make up a composite number M allow bi partioning into two relatively prime factors. Each such pair defines a pair of conjugate representations. These pairs of conjugate representations, each of which spans the M dimensional space are the familiar complete sets of Zak transforms (J. Zak, Phys. Rev. Let.{\bf 19}, 1385 (1967)) which are the most natural representations for periodic systems. Here we show their relevance to factorizations. An example is provided for the manifestation of the factorization.
Cite
@article{arxiv.quant-ph/0503228,
title = {Physics of Factorization},
author = {M. Revzen and A. Mann and J. Zak},
journal= {arXiv preprint arXiv:quant-ph/0503228},
year = {2007}
}