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arxiv: cond-mat/0201489 · v6 · submitted 2002-01-28 · ❄️ cond-mat.stat-mech · hep-th· math-ph· math.MP· quant-ph

Fractal von Neumann entropy

classification ❄️ cond-mat.stat-mech hep-thmath-phmath.MPquant-ph
keywords fractalclassesentropyneumannobtainaccountalgebraassociated
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We consider the {\it fractal von Neumann entropy} associated with the {\it fractal distribution function} and we obtain for some {\it universal classes h of fractons} their entropies. We obtain also for each of these classes a {\it fractal-deformed Heisenberg algebra}. This one takes into account the braid group structure of these objects which live in two-dimensional multiply connected space.

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