On Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems

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dc.creatorVarga, I.
dc.creatorPipek, J.
dc.date2002-04-02
dc.date2003-04-17
dc.date.accessioned2026-07-07T02:44:52Z
dc.date.available2026-07-07T02:44:52Z
dc.descriptionWe discuss some properties of the generalized entropies, called Renyi 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.
dc.description8 pages with 2 embedded eps figures, RevTex4, AmsMath included, submitted to PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0204041
dc.identifierhttp://arxiv.org/abs/cond-mat/0204041
dc.identifierPhys. Rev. E 68, 026202 (2003)
dc.identifierdoi:10.1103/PhysRevE.68.026202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19106
dc.subjectDisordered Systems and Neural Networks
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleOn Renyi entropies characterizing the shape and the extension of the phase space representation of quantum wave functions in disordered systems
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