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cond-mat.mes-hall2004★ 2 cited
Quantum phase transitions of fractons (a fractal scaling theory for the FQHE)
Wellington da Cruz
We consider the quantum phase transitions of fractons in correspondence with the quantum phase transitions of the fractional quantum Hall effect-FQHE. We have that the Hall states…
hep-th2004★ 2 cited
The spin-statistics connection, the Gauss-Bonnet theorem and the Hausdorff dimension of the quantum paths
Wellington da Cruz
We obtain an explicit expression relating the writhing number, , of the quantum path, , with any value of spin, , of the particle which sweeps out that closed curve. We…