2 citations · 4 across the 7 of their papers we have counts for
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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…
Fractal distribution function and fractal-deformed Heisenberg algebras
Wellington da Cruz
We consider the concept of fractons, i.e. particles or quasiparticles which obey specific fractal distribution function and for each universal class h of particles we obtain a frac…
Fractal Statistics and Quantum Black Hole Entropy
Wellington da Cruz
Simple considerations about the fractal characteristic of the quantum-mechanical path give us the opportunity to derive the quantum black hole entropy in connection with the concep…
Hausdorff dimension and anyonic distribution functions
Wellington da Cruz
We obtain the distribution functions for anyonic excitations classified into equivalence classes labeled by Hausdorff dimension, and as an example of such anyonic systems, we c…
On Anyonic Propagators
Wellington da Cruz
We consider a simple action for a fractional spin particle and a path integral representation for the propagator is obtained in a gauge such that the constraint embodied in the Lag…
Hausdorff dimension, fractional spin particles and Chern-Simons effective potential
Wellington da Cruz
We obtain for any spin, , the Hausdorff dimension, , for fractional spin particles and we discuss the connection between this number, , and the Chern-Simons potent…