123 citations · 1k across the 65 of their papers we have counts for
6 papers · 1 filter
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…
A Deformation Quantization Theory for Non-Commutative Quantum Mechanics
N. C. Dias, M. A. de Gosson, F. Luef +1
We show that the deformation quantization of non-commutative quantum mechanics previously considered by Dias and Prata can be expressed as a Weyl calculus on a double phase space.…
Wigner Measures in Noncommutative Quantum Mechanics
C. Bastos, N. C. Dias, J. N. Prata
We study the properties of quasi-distributions or Wigner measures in the context of noncommutative quantum mechanics. In particular, we obtain necessary and sufficient conditions f…
A multiplicative product of distributions and a class of ordinary differential equations with distributional coefficients
Nuno Costa Dias, Joao Nuno Prata
We construct a generalization of the multiplicative product of distributions presented by L. Hörmander in [L. Hörmander, {\it The analysis of linear partial differential operators…
Black Holes and Phase Space Noncommutativity
C. Bastos, O. Bertolami, N. C. Dias +1
We use the solutions of the noncommutative Wheeler-De Witt equation arising from a Kantowski-Sachs cosmological model to compute thermodynamic properties of the Schwarzschild black…
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…