Wave packet dynamics and factorization of numbers
Quantum Physics
2007-05-23 v1
Abstract
We connect three phenomena of wave packet dynamics: Talbot images, revivals of a particle in a box and fractional revivals. The physical origin of these effects is deeply rooted in phase factors which are quadratic in the quantum number. We show that the characteristic structures in the time evolution of these systems allow us to factorize large integers.
Keywords
Cite
@article{arxiv.quant-ph/0204040,
title = {Wave packet dynamics and factorization of numbers},
author = {Holger Mack and Marc Bienert and Florian Haug and Frank S. Straub and Matthias Freyberger and Wolfgang P. Schleich},
journal= {arXiv preprint arXiv:quant-ph/0204040},
year = {2007}
}