2002/04/30 by Imre Varga, I. Varga, Jānos Pipek +1 · 1 citation
Computer Science · Physics and Astronomy · #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Spectroscopy and Quantum Chemical Studies #cond-mat.dis-nn #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreve.68.026202
published as Phys. Rev. E 68, 026202 (2003) · 8 pages with 2 embedded eps figures, RevTex4, AmsMath included, submitted to PRB
arxiv created 2003/04/17 · openalex publication_date 2003/08/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss some properties of the generalized entropies, called Rényi entropies, and their application to the case of continuous distributions. In particular, it is shown that these measures of complexity can be divergent; however, their differences are free from these divergences, thus enabling them to be good candidates for the description of the extension and the shape of continuous distributions. We apply this formalism to the projection of wave functions onto the coherent state basis, i.e., to the Husimi representation. We also show how the localization properties of the Husimi distribution on average can be reconstructed from its marginal distributions that are calculated in position and momentum space in the case when the phase space has no structure, i.e., no classical limit can be defined. Numerical simulations on a one-dimensional disordered system corroborate our expectations.