11 papers
Bicovariant Calculus in Quantum Theory and a Generalization of the Gauss Law
G. Bimonte, G. Marmo, A. Stern
We construct a deformation of the quantum algebra Fun(T^*G) associated with Lie group G to the case where G is replaced by a quantum group G_q which has a bicovariant calculus. The…
Noncommutative Lattices as Finite Approximations and Their Noncommutative Geometries
A. P. Balachandran, G. Bimonte, E. Ercolessi +4
Lattice discretizations of continuous manifolds are common tools used in a variety of physical contexts. Conventional discrete approximations, however, cannot capture all aspects o…
Lattices and Their Continuum Limits
G. Bimonte, E. Ercolessi, G. Landi +3
We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space . The correct framework i…
TOPOLOGY CHANGE AND QUANTUM PHYSICS
A. P. Balachandran, G. Bimonte, G. Marmo +1
The role of topology in elementary quantum physics is discussed in detail. It is argued that attributes of classical spatial topology emerge from properties of state vectors with s…
Distances on a Lattice from Non-commutative Geometry
G. Bimonte, F. Lizzi, G. Sparano
Using the tools of noncommutative geometry we calculate the distances between the points of a lattice on which the usual discretized Dirac operator has been defined. We find that t…
Finite Quantum Physics and Noncommutative Geometry
A. P. Balachandran, G. Bimonte, E. Ercolessi +4
Conventional discrete approximations of a manifold do not preserve its nontrivial topological features. In this article we describe an approximation scheme due to Sorkin which repr…