123 citations · 754 across the 28 of their papers we have counts for
10 papers · 1 filter
Noncommutative Graphene
C. Bastos, O. Bertolami, N. Dias +1
We consider a noncommutative description of graphene. This description consists of a Dirac equation for massless Dirac fermions plus noncommutative corrections, which are treated i…
Violation of the Robertson-Schrödinger uncertainty principle and non-commutative quantum mechanics
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias +1
We show that a possible violation of the Robertson-Schrödinger uncertainty principle may signal the existence of a deformation of the Heisenberg-Weyl algebra. More precisely, we pr…
Noncommutative Black Holes and the Singularity Problem
C. Bastos, O. Bertolami, N. C. Dias +1
A phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model is considered to study the interior of a Schwarzschild black hole. Due to the divergence of th…
Non-Canonical Phase-Space Noncommutativity and the Kantowski-Sachs singularity for Black Holes
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias +1
We consider a cosmological model based upon a non-canonical noncommutative extension of the Heisenberg-Weyl algebra to address the thermodynamical stability and the singularity pro…
Entropic Gravity, Phase-Space Noncommutativity and the Equivalence Principle
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias +1
We generalize E. Verlinde's entropic gravity reasoning to a phase-space noncommutativity set-up. This allow us to impose a bound on the product of the noncommutative parameters bas…
The singularity problem and phase-space noncanonical noncommutativity
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias +1
The Wheeler-DeWitt equation arising from a Kantowski-Sachs model is considered for a Schwarzschild black hole under the assumption that the scale factors and the associated momenta…
Noncommutative Quantum Mechanics and Quantum Cosmology
Catarina Bastos, Orfeu Bertolami, Nuno Dias +1
We present a phase-space noncommutative version of quantum mechanics and apply this extension to Quantum Cosmology. We motivate this type of noncommutative algebra through the grav…
Noncommutative Quantum Cosmology
C. Bastos, O. Bertolami, N. Dias +1
One presents a phase-space noncommutative extension of Quantum Cosmology in the context of a Kantowski-Sachs (KS) minisuperspace model. We obtain the Wheeler-DeWitt (WDW) equation…
Deformation quantization of noncommutative quantum mechanics and dissipation
C. Bastos, O. Bertolami, N. C. Dias +1
We review the main features of the Weyl-Wigner formulation of noncommutative quantum mechanics. In particular, we present a -product and a Moyal bracket suitable for this th…
Weyl-Wigner Formulation of Noncommutative Quantum Mechanics
Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias +1
We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitrary dimension, displaying both spatial and momentum noncommutativity. By resortin…