We introduce and characterise time operators for unilateral shifts and exact endomorphisms. The associated shift representation of evolution is related to the spectral representation by a generalized Fourier transform. We illustrate the results for a simple exact system, namely the Renyi map.
|Number of pages||15|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - 15 Jul 1999|
ASJC Scopus subject areas
- Mathematical Physics
- Statistical and Nonlinear Physics