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20062016
most citedWeyl-Wigner Formulation of Noncommutative Quantum Mechanics

123 citations · 754 across the 28 of their papers we have counts for

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10 papers · 1 filter

gr-qc2016

Violation of the PT-symmetry and structure formation in the dark matter-gravitational wave interaction

Catarina Bastos, Hugo Terças

In flat spacetime, quantum fluctuations in dark matter, as described as a Bose-Einstein condensate, are stable and display a relativistic Bogoliubov dispersion relation. In the wea…

gr-qc2016

Entangled States and the Gravitational Quantum Well

Rui Alves, Catarina Bastos, Orfeu Bertolami

We study the continuous variable entanglement of a system of two particles under the influence of Earth's gravitational field. We determine a phase-space description of this bipart…

gr-qc2015★ 20 cited

Vacuum decay in an interacting multiverse

S. Robles-Pérez, A. Alonso-Serrano, C. Bastos +1

We examine a new multiverse scenario in which the component universes interact. We focus our attention to the process of "true" vacuum nucleation in the false vacuum within one sin…

gr-qc2012★ 25 cited

Interacting universes and the cosmological constant

A. Alonso-Serrano, C. Bastos, O. Bertolami +1

We study some collective phenomena that may happen in a multiverse scenario. First, it is posed an interaction scheme between universes whose evolution is dominated by a cosmologic…

gr-qc2012★ 16 cited

Gravitational collapse in non-minimally coupled gravity: finite density singularities and the breaking of the no-hair theorem

J. Páramos, C. Bastos

In this work we study the dynamics of gravitational collapse of a homogeneous dust sphere in a model exhibiting a linear non-minimal coupling between matter and curvature. The evol…

gr-qc2012

Noncanonical Phase-Space Noncommutative Black Holes

Catarina Bastos, Orfeu Bertolami, Nuno Dias +1

In this contribution we present a noncanonical phase-space noncommutative (NC) extension of a Kantowski Sachs (KS) cosmological model to describe the interior of a Schwarzschild bl…

gr-qc2010★ 4 cited

Noncommutative Black Holes

C. Bastos, O. Bertolami, N. C. Dias +1

One considers phase-space noncommutativity in the context of a Kantowski-Sachs cosmological model to study the interior of a Schwarzschild black hole. It is shown that the potentia…

gr-qc2009★ 53 cited

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…

gr-qc2007

Phase-Space Noncommutative Quantum Cosmology

Catarina Bastos, Orfeu Bertolami, Nuno Costa Dias +1

We present a noncommutative extension of Quantum Cosmology and study the Kantowski-Sachs (KS) cosmological model requiring that the two scale factors of the KS metric, the coordina…

gr-qc2006★ 61 cited

Berry Phase in the Gravitational Quantum Well and the Seiberg-Witten map

C. Bastos, O. Bertolami

We explicitly compute the geometrical Berry phase for the noncommutative gravitational quantum well for different SW maps. We find that they lead to different partial contributions…