Time operators and shift representation of dynamical systems

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19 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)299-313
Number of pages15
JournalPhysica A: Statistical Mechanics and its Applications
Volume269
Issue number2
Publication statusPublished - 15 Jul 1999

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

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