On the Quantum Cat and Sawtooth Maps- Return to Generic Behaviour

Preprint

12 July 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9307005

Abstract

The quantization of the continous cat maps on the torus has led to rather pathological quantum objects [6]. The non-generic behaviour of this model has led some to conclude that the Correspondence Principle fails in this case [2]. In this note we introduce the quantum sawtooth models, since this is the natural family to which the cat maps belong. Thus, a simple propagator depending on a parameter is constructed which for integer values of the parameter becomes pathological quantum cat maps, while away from integer values we find a return to the generic behaviour of non-integrable quantum systems.

Keywords

GENERIC BEHAVIOUR
RETURN TO GENERIC
INTEGER VALUES
SAWTOOTH MAPS
QUANTIZATION
QUANTUM CAT
MAPS RETURN
CAT MAPS

All Related Versions

Version 1, 1993-07-12, ArXiv

This publication has 0 references indexed in Scilit: