123 citations · 1k across the 65 of their papers we have counts for
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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…
Deformation Quantization of Confined Systems
Nuno Costa Dias, Joao Nuno Prata
The Weyl-Wigner formulation of quantum confined systems poses several interesting problems. The energy stargenvalue equation, as well as the dynamical equation does not display the…
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…
Features of Moyal Trajectories
Nuno Costa Dias, Joao Nuno Prata
We study the Moyal evolution of the canonical position and momentum variables. We compare it with the classical evolution and show that, contrary to what is commonly found in the l…
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…