Abstract
The definition of the dynamical entropy for automorphisms of C*-algebras is represented. Several properties are discussed; especially it is argued that the entropy of the shift can be shown in special cases to be equal with the entropy density.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.-P. Eckmann, D. Ruelle: Ergodic theory of chaos and strange attractors, Rev. Mod. Phys. 57/3, 617 (1985)
A. Connes, E. Stôrmer: Acta Math. 134, 289–306 (1975)
A. Connes, H. Narnhofer, W. Thirring: Univ. of Vienna preprint UWThPh-1986–40, to be published in Commun. Math. Phys.
VJ. Arnold, A. Avez: Problèmes Ergodiques de la Mecanique Classique, Gautheier-Villars, Paris; (1967)
H. Kosaki: Commun. Math. Phys. 87, 315 (1982)
H. Narnhofer, W. Thirring: Fizika 17, 257 (1985)
W. Thirring: Quantum Mechanics of Large Systems, Springer, New York, (1983)
M.D. Choi, E.G. Effros: Journ. of Funct. Anal. 24, 156 (1977)
E.H. Lieb, M.B. Ruskai: J. Math. Phys. 14. 1938 (1973)
O.E. Lanford, D.W. Robinson: Commun. Math. Phys. 9, 327 (1968)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Connes, A., Narnhofer, H., Thirring, W. (1987). The Dynamical Entropy of Quantum Systems. In: Mitter, H., Pittner, L. (eds) Recent Developments in Mathematical Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73104-4_6
Download citation
DOI: https://doi.org/10.1007/978-3-642-73104-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73106-8
Online ISBN: 978-3-642-73104-4
eBook Packages: Springer Book Archive