2002/12/31 by Wellington da Cruz · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Fractal #Fracton #Hausdorff dimension #Mathematical analysis #Mathematical physics #Mathematics #Neural Networks and Applications #Physics #Pure mathematics #Quantum #Quantum entanglement #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Theoretical and Computational Physics #Theoretical physics #Von Neumann entropy #cond-mat.stat-mech #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1142/s0217751x03015672
published in International Journal of Modern Physics A 18(12), 2213-2219 (World Scientific) · Typos corrected, latex, 8 pages, Talk given at the 2nd International Londrina Winter School: Mathematical Methods in Physics, August, 26-30 (2002), Universidade Estadual de Londrina, Paraná, Brazil. Version to be published in Int. J. Mod. Phys. {\bf A}, (2003)
openalex publication_date 2003/05/10 · arxiv created 2003/05/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the fractal characteristic of the quantum mechanical paths and we obtain for any universal class of fractons labeled by the Hausdorff dimension defined within the interval 1 < h < 2, a fractal distribution function associated with a fractal von Newmann entropy. Fractons are charge-flux systems defined in two-dimensional multiply connected space and they carry rational or irrational values of spin. This formulation can be considered in the context of the fractional quantum Hall effect-FQHE and number theory.