14 citations · 26 across the 6 of their papers we have counts for
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Energy cutoff, effective theories, noncommutativity, fuzzyness: the case of O(D)-covariant fuzzy spheres
Gaetano Fiore, Francesco Pisacane
Projecting a quantum theory onto the Hilbert subspace of states with energies below a cutoff may lead to an effective theory with modified observables, including a n…
equivariant fuzzy hyperspheres
Francesco Pisacane
Fuzzy hyperspheres of dimension are constructed here generalizing the procedure adopted in [G. Fiore, F. Pisacane, J. Geom. Phys. 132 (2018), 423-451] for . Th…
On localized and coherent states on some new fuzzy spheres
Gaetano Fiore, Francesco Pisacane
We construct various systems of coherent states (SCS) on the -equivariant fuzzy spheres (, ) constructed in [G. Fiore, F. Pisacane, J. Geom. Phys. 1…
The -eigenvalue problem on some new fuzzy spheres
Gaetano Fiore, Francesco Pisacane
We study the eigenvalue equation for the 'Cartesian coordinates' observables on the fully -covariant fuzzy circle () and on the full…
New fuzzy spheres through confining potentials and energy cutoffs
Gaetano Fiore, Francesco Pisacane
We briefly report our recent construction of new fuzzy spheres of dimensions d=1,2 covariant under the full orthogonal group O(D), D=d+1. They are built by imposing a suitable ener…
Fuzzy circle and new fuzzy sphere through confining potentials and energy cutoffs
Gaetano Fiore, Francesco Pisacane
Guided by ordinary quantum mechanics we introduce new fuzzy spheres of dimensions d=1,2: we consider an ordinary quantum particle in D=d+1 dimensions subject to a rotation invarian…