2005/03/30 by M. Revzen, Revzen, M., A. Mann +4
Biochemistry, Genetics and Molecular Biology · Computer Science · Physics and Astronomy · #Chaos-based Image/Signal Encryption #FOS: Physical sciences #Fractal and DNA sequence analysis #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0503228
arxiv created 2005/03/30 · openalex publication_date 2005/03/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The N distinct prime numbers that make up a composite number M allow 2N-1 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.