A GENERALIZED ENTROPY MEASURING QUANTUM LOCALIZATION

We present an entropy concept measuring quantum localization in dynami cal systems based on time averaged probability densities. The suggeste d entropy concept is a generalization of a recently introduced [Phys. Reo. Lett. 75 (1995), 362] phase-space entropy to any representation c hosen according to the system and the physical question under consider ation. In this paper we inspect the main characteristics of the entrop y and the relation to other measures of localization. In particular th e classical correspondence is discussed and the statistical properties are evaluated within the framework of random vector theory. In this w ay we show that the suggested entropy is a suitable method to detect q uantum localization phenomena in dynamical systems. (C) 1998 Academic Press.