Wave Packets Can Factorize Numbers

We draw attention to various aspects of number theory emerging in the time evolution of elementary quantum systems with quadratic phases. Such model systems can be realized in actual experiments. Our analysis paves the way to a new, promising and effective method to factorize numbers.

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Bibliographic Details
Published in:	physica status solidi (b) Vol. 233; no. 3; pp. 408 - 415
Main Authors:	Mack, H., Bienert, M., Haug, F., Freyberger, M., Schleich, W.P.
Format:	Journal Article
Language:	English
Published:	Berlin WILEY-VCH Verlag 01-10-2002 WILEY‐VCH Verlag
Subjects:	03.67.-a 42.25.-p 42.25.Hz
Online Access:	Get full text
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Description
Summary:	We draw attention to various aspects of number theory emerging in the time evolution of elementary quantum systems with quadratic phases. Such model systems can be realized in actual experiments. Our analysis paves the way to a new, promising and effective method to factorize numbers.
Bibliography:	ArticleID:PSSB408 istex:0526CB81E951F21D27419958E7AD79E3E45B9646 ark:/67375/WNG-K50NJCFM-0
ISSN:	0370-1972 1521-3951
DOI:	10.1002/1521-3951(200210)233:3<408::AID-PSSB408>3.0.CO;2-N