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Wave propagation in almost-periodic structures

✍ Scribed by Giorgio Mantica

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
925 KB
Volume
109
Category
Article
ISSN
0167-2789

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✦ Synopsis

The unusual phenomena occurring in the wave propagation in almost-periodic structures -both classical and quantumare studied in this paper. Focusing our attention on stiuctures with spectral measures in the family of disconnected iterated function systems, we describe and characterize the concept of "quantum intermittency". This theory shows that the nontrivial renormalization properties of the set of orthogonal polynomials associated with these systems are the origin of such "intermittency", and leads to a new determination of the exponents of the asymptotic growth of the moments of the position operator.

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By using two almost periodic driven potentials derived from substitution sequences, effectively mimicking an infinite number of frequencies, we numerically find different exponents for the diffusion constant as an indication that the limit of infinite number of frequencies in quasiperiodic kicked sy