7 citations · 13 across the 12 of their papers we have counts for
12 papers
Generalized Heisenberg algebra from
Tea Martinic Bilac, Stjepan Meljanac, Salvatore Mignemi
It is well known that the algebra generates the conformal group, but it can also be used to define some variants of the Yang model of noncommutative geometry on a curved s…
Dual -Minkowski spaces and -Poincaré algebras from Yang model and their Weyl realizations
T. Martinić Bilać, S. Meljanac, S. Mignemi
We consider the Yang algebras isomorphic to and derive dual -Minkowski and -Poincaré algebras in terms of a metric . The corresponding Weyl realiz…
Yang model revisited
S. Mignemi
A long time ago C.N. Yang proposed a generalization of the Snyder model to the case of a curved background spacetime, based on an algebra isomorphic to , which includes as…
Reduced Yang model and noncommutative geometry of curved spacetime
S. Meljanac, S. Mignemi
The Yang model describes a noncommutative geometry in a curved spacetime by means of an orthogonal algebra , whose 15 generators are identified with phase space variables a…
Quantum mechanics of the nonrelativistic Yang model
S. Meljanac, S. Mignemi
We discuss, at leading order in , the quantum mechanics of a specific realization in phase space of the Yang model describing noncommutative geometry in a curved background.…
Towards new relativistic doubly -deformed D=4 quantum phase spaces
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +2
We propose new noncommutative models of quantum phase spaces, containing a pair of -deformed Poincaré algebras, with two independent double ()-deformations in space-t…
Generalized Triply Special Relativity models and their classical limit
Tea Martinić Bilać, Stjepan Meljanac, Salvatore Mignemi
Triply Special Relativity is a deformation of Special Relativity based on three fundamental parameters, that describes a noncommutative geometry on a curved spacetime, preserving t…
Realizations and star-product of doubly -deformed Yang models
T. Martinić-Bilać, S. Meljanac, S. Mignemi
The Yang algebra was proposed a long time ago as a generalization of the Snyder algebra to the case of curved background spacetime. It includes as subalgebras both the Snyder and t…
Generalized Yang Poisson Models on Canonical Phase Space
Tea Martinić Bilać, Stjepan Meljanac, Salvatore Mignemi
We discuss the generalized Yang Poisson models. We construct generalizations of the Yang Poisson algebra related to algebra discussed by Meljanac and Mignemi (2…
Dyonic black holes in Kaluza-Klein theory with a Gauss-Bonnet action
S. Mignemi
We consider a five-dimensional Einstein-Gauss-Bonnet model, which gives rise after dimensional reduction to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The…
From Snyder space-times to doubly -dependent Yang quantum phase spaces and their generalizations
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +2
We propose the doubly -dependent Yang quantum phase space which describes the generalization of Yang model. We postulate that such model is covariant under the generaliz…
Hermitian realizations of the Yang model
T. Martinic-Bilac, S. Meljanac, S. Mignemi
The Yang model is an example of noncommutative geometry on a background spacetime of constant curvature. We discuss the Hermitian realizations of its associated algebra on phase sp…