ON THE ASYMPTOTIC PROPERTIES OF QUANTUM DYNAMICS IN THE PRESENCE OF AFRACTAL SPECTRUM

Authors
GUARNERI I MANTICA G
Citation
I. Guarneri et G. Mantica, ON THE ASYMPTOTIC PROPERTIES OF QUANTUM DYNAMICS IN THE PRESENCE OF AFRACTAL SPECTRUM, Annales de l'I.H.P. Physique theorique, 61(4), 1994, pp. 369-379
Citations number
10
Categorie Soggetti
Physics
Journal title
Annales de l'I.H.P. Physique theorique → ACNP
ISSN journal
02460211
Volume
61
Issue
4
Year of publication
1994
Pages
369 - 379
Database
ISI
SICI code
0246-0211(1994)61:4<369:OTAPOQ>2.0.ZU;2-1
Abstract
Asymptotic estimates for the dynamics induced in a separable Hilbert s pace by a discrete unitary group with a purely continuous spectrum are derived. They consist of upper and lower bounds for suitably defined exponents of growth. These bounds involve the capacity of the spectrum and the Holder exponent of the spectral measure.