𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Generalized Entropy Measuring Quantum Localization

✍ Scribed by B. Mirbach; H.J. Korsch

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
366 KB
Volume
265
Category
Article
ISSN
0003-4916

No coin nor oath required. For personal study only.

✦ Synopsis

We present an entropy concept measuring quantum localization in dynamical systems based on time averaged probability densities. The suggested entropy concept is a generalization of a recently introduced [Phys. Rev. Lett. 75 (1995), 362] phase-space entropy to any representation chosen according to the system and the physical question under consideration. In this paper we inspect the main characteristics of the entropy and the relation to other measures of localization. In particular the classical correspondence is discussed and the statistical properties are evaluated within the framework of random vector theory. In this way we show that the suggested entropy is a suitable method to detect quantum localization phenomena in dynamical systems.

πŸ“œ SIMILAR VOLUMES

Generalized entropy as a measure of quan
Generalized entropy as a measure of quantum uncertainty
✍ M Portesi; A Plastino πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 837 KB

A generalized entropy is used in order to advance a different form of expressing the Uncertainty Principle of Quantum mechanics. We consider the generafized entropic formulation for different pairs of incompatible observables. In particular, we study the number-phase entropic uncertainty measure for

Quantum entropy production as a measure
Quantum entropy production as a measure of irreversibility
✍ I Callens; W De Roeck; T Jacobs; C Maes; K NetočnΓ½ πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 75 KB

We consider conservative quantum evolutions possibly interrupted by macroscopic measurements. When started in a nonequilibrium state, the resulting path-space measure is not time-reversal invariant and the weight of time-reversal breaking equals the exponential of the entropy production. The mean en

On generalized entropy measures and path
On generalized entropy measures and pathways
✍ A.M. Mathai; H.J. Haubold πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 175 KB

Product probability property, known in the literature as statistical independence, is examined first. Then generalized entropies are introduced, all of which give generalizations to Shannon entropy. It is shown that the nature of the recursivity postulate automatically determines the logarithmic fun