Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Pisacane, Francesco"'
Autor:
Fiore, Gaetano, Pisacane, Francesco
Publikováno v:
PoS(CORFU2019)208
Projecting a quantum theory onto the Hilbert subspace of states with energies below a cutoff $\overline{E}$ may lead to an effective theory with modified observables, including a noncommutative space(time). Adding a confining potential well $V$ with
Externí odkaz:
http://arxiv.org/abs/2008.09475
Autor:
Pisacane, Francesco
Fuzzy hyperspheres $S^d_\Lambda$ of dimension $d>2$ are constructed here generalizing the procedure adopted in [G. Fiore, F. Pisacane, J. Geom. Phys. 132 (2018), 423-451] for $d=1,2$. The starting point is an ordinary quantum particle in $\mathbb{R}^
Externí odkaz:
http://arxiv.org/abs/2002.01901
Autor:
Fiore, Gaetano, Pisacane, Francesco
Publikováno v:
Lett Math Phys (2020)
We construct various systems of coherent states (SCS) on the $O(D)$-equivariant fuzzy spheres $S^d_\Lambda$ ($d=1,2$, $D=d\!+\!1$) constructed in [G. Fiore, F. Pisacane, J. Geom. Phys. 132 (2018), 423-451] and study their localizations in configurati
Externí odkaz:
http://arxiv.org/abs/1906.01881
Autor:
Fiore, Gaetano, Pisacane, Francesco
Publikováno v:
2020 J. Phys. A: Math. Theor. 53 095201
We study the eigenvalue equation for the 'Cartesian coordinates' observables $x_i$ on the fully $O(2)$-covariant fuzzy circle $\{S^1_\Lambda\}_{\Lambda\in\mathbb{N}}$ ($i=1,2$) and on the fully $O(3)$-covariant fuzzy 2-sphere $\{S^2_\Lambda\}_{\Lambd
Externí odkaz:
http://arxiv.org/abs/1904.08973
Autor:
Fiore, Gaetano, Pisacane, Francesco
Publikováno v:
Proceedings of Science Volume 318 (2018)
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 energy cutoff on a quantum particle in D dimensions subject to a confining
Externí odkaz:
http://arxiv.org/abs/1807.09053
Autor:
Fiore, Gaetano, Pisacane, Francesco
Publikováno v:
J. Geom. Phys. 132 (2018), 423-451
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 invariant potential well V(r) with a very sharp minimum on a sphere of unit ra
Externí odkaz:
http://arxiv.org/abs/1709.04807
Autor:
Fiore, Gaetano, Pisacane, Francesco
Publikováno v:
In Journal of Geometry and Physics October 2018 132:423-451
Autor:
Fiore, Gaetano1,2 (AUTHOR) gaetano.fiore@unina.it, Pisacane, Francesco1,2 (AUTHOR)
Publikováno v:
Letters in Mathematical Physics. Jun2020, Vol. 110 Issue 6, p1315-1361. 47p.
Autor:
Pisacane, Francesco
We present some new fuzzy spheres of dimensions d≥1 covariant under the full orthogonal group O(D), D=d+1. They are built by imposing a sufficiently low energy cutoff on a quantum particle in the D-dimensional real euclidean space, subject to a con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od_______152::0088d6f0b3d02c32eed854cf5b7a8e69
http://www.fedoa.unina.it/12965/
http://www.fedoa.unina.it/12965/
Autor:
Gaetano Fiore, Francesco Pisacane
We study the eigenvalue equation for the 'Cartesian coordinates' observables $x_i$ on the fully $O(2)$-covariant fuzzy circle $\{S^1_\Lambda\}_{\Lambda\in\mathbb{N}}$ ($i=1,2$) and on the fully $O(3)$-covariant fuzzy 2-sphere $\{S^2_\Lambda\}_{\Lambd
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cfdcedec4d4f0012a1e67a2d01c0c67
http://hdl.handle.net/11588/782131
http://hdl.handle.net/11588/782131