The transition from a classical to a quantum world as a passage from extensive to non-extensive thermodynamics

dc.creatorPalatella, Luigi
dc.creatorGrigolini, Paolo
dc.date1998-10-27
dc.date.accessioned2026-07-07T06:15:46Z
dc.date.available2026-07-07T06:15:46Z
dc.descriptionWe study the thermodynamical properties of the quantum kicked rotator, coarsened by an external fluctuation with a weak intensity D, by means of the Tsallis entropy with a changing entropic index q. The genuine entropic index, corresponding to given values of D and $\hbar$ is that making the Tsallis entropy increase linearly in time, and it is proved to become q <1 for suitably large values of $\hbar $: This indicates a subdiffusional regime which, in turn, signals the occurrence of quantum localization. Thus the process of Anderson localization is shown to be compatible with a thermodynamical representation provided that a non-extensive form of entropy is used.
dc.descriptionRevTex, 4 pages, 4 eps figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9810083
dc.identifierhttp://arxiv.org/abs/quant-ph/9810083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93862
dc.subjectQuantum Physics
dc.subjectChaotic Dynamics
dc.titleThe transition from a classical to a quantum world as a passage from extensive to non-extensive thermodynamics
dc.typetext

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