Time operators and shift representation of dynamical systems

Authors
Antoniou, I Sadovnichii, VA Shkarin, SA
Citation
I. Antoniou et al., Time operators and shift representation of dynamical systems, PHYSICA A, 269(2-4), 1999, pp. 299-313
Citations number
16
Categorie Soggetti
Physics
Journal title
PHYSICA A
ISSN journal
03784371 → ACNP
Volume
269
Issue
2-4
Year of publication
1999
Pages
299 - 313
Database
ISI
SICI code
0378-4371(19990715)269:2-4<299:TOASRO>2.0.ZU;2-T
Abstract
We introduce and characterise time operators for unilateral shifts and exac t endomorphisms. The associated shift representation of evolution is relate d to the spectral representation by a generalized Fourier transform. We ill ustrate the results for a simple exact system, namely the Renyi map. (C) 19 99 Elsevier Science B.V. All rights reserved.