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Quantum perturbative solutions of extended Snyder and Yang models with spontaneous symmetry breaking
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +1
We propose -expansions as perturbative solutions of quantum extended Snyder and Yang models, with -independent classical zero-th order terms responsible for the spont…
Noncommutative Yang model and its generalizations
S. Meljanac, S. Mignemi
Long time ago, C.N. Yang proposed a model of noncommutative spacetime that generalized the Snyder model to a curved background. In this paper we review his proposal and the general…
Quantum mechanics of the extended Snyder model
S. Meljanac, S. Mignemi
We investigate a quantum mechanical harmonic oscillator based on the extended Snyder model. This realization of the Snyder model is constructed as a quantum phase space generated b…
Generalized quantum phase spaces for the -deformed extended Snyder model
Jerzy Lukierski, Stjepan Meljanac, Salvatore Mignemi +1
We describe, in an algebraic way, the -deformed extended Snyder models, that depend on three parameters and , which in a suitable algebra basis are described by the de…
The three "layers" of graphene monolayer and their analog generalized uncertainty principles
Alfredo Iorio, Boris Ivetić, Salvatore Mignemi +1
We show that graphene, in its simplest form and settings, is a practical table-top realization of the analog of exotic quantum gravity scenarios, which are speculated to lead to ce…
Generalizations of Snyder model to curved spaces
S. Meljanac, S. Mignemi
We consider generalizations of the Snyder algebra to a curved spacetime background with de Sitter symmetry. As special cases, we obtain the algebras of the Yang model and of triply…