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20002010
most citedWeyl-Wigner Formulation of Noncommutative Quantum Mechanics

123 citations · 244 across the 10 of their papers we have counts for

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hep-th201034 cited

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…

hep-th201048 cited

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…

hep-th20089 cited

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…

hep-th20064 cited

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…

hep-th20061 cited

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…

hep-th2006123 cited

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…