Quantum Anosov Systems

Autor(en)

Heide Narnhofer

Abstrakt

The concept of Anosov flows and of Kohnogorov systems can be translated from classical to quantum systems. It is shown that modifications of the concepts are necessary to keep the same clustering behavior as is typical for classical Anosov systems. With such modifications. Anosov structure appears rather naturally in a type III(1) algebra. Here Anosov structure and Kolmogorov structure with respect to modular evolution are even equivalent. The Rindler wedge of quantum field theory offers a typical example.

Organisation(en)

Mathematische Physik

Seiten

213-223

Anzahl der Seiten

11

DOI

https://doi.org/10.1007/978-3-7643-7434-1_15

Publikationsdatum

2007

ÖFOS 2012

103019 Mathematische Physik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/d9c193be-4659-4809-ba32-883c9e25ead9