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ArticleOriginal scientific text

Title

Dynamical entropy of a non-commutative version of the phase doubling

Authors 1, 1

Affiliations

  1. Instituut voor Theoretische Fysica, K.U. Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium

Abstract

A quantum dynamical system, mimicking the classical phase doubling map z↦z2 on the unit circle, is formulated and its ergodic properties are studied. We prove that the quantum dynamical entropy equals the classical value log2 by using compact perturbations of the identity as operational partitions of unity.

Bibliography

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Banach Center Publications
1998/43/1
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Pages:
31-40
Main language of publication
English
Published
1998
Exact and natural sciences