123 citations · 1k across the 65 of their papers we have counts for
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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…
Environment-Induced Decoherence in Noncommutative Quantum Mechanics
Joao Nuno Prata, Nuno Costa Dias
We address the question of the appearence of ordinary quantum mechanics in the context of noncommutative quantum mechanics. We obtain the noncommutative extension of the Hu-Paz-Zha…
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…
Exact master equation for a noncommutative Brownian particle
Nuno Costa Dias, Joao Nuno Prata
We derive the Hu-Paz-Zhang master equation for a Brownian particle linearly coupled to a bath of harmonic oscillators on the plane with spatial noncommutativity. The results obtain…
Coherent States Expectation Values as Semiclassical Trajectories
N. C. Dias, A. Mikovic, J. N. Prata
We study the time evolution of the expectation value of the anharmonic oscillator coordinate in a coherent state as a toy model for understanding the semiclassical solutions in qua…
Deformation Quantization and Wigner Functions
Nuno Costa Dias, Joao Nuno Prata
We review the Weyl-Wigner formulation of quantum mechanics in phase space. We discuss the concept of Narcowich-Wigner spectrum and use it to state necessary and sufficient conditio…
Admissible states in quantum phase space
Nuno Costa Dias, Joao Nuno Prata
We address the question of which phase space functionals might represent a quantum state. We derive necessary and sufficient conditions for both pure and mixed phase space quantum…
Time dependent transformations in deformation quantization
Nuno Costa Dias, Joao Nuno Prata
We study the action of time dependent canonical and coordinate transformations in phase space quantum mechanics. We extend the covariant formulation of the theory by providing a fo…