activity
20062016
most citedWeyl-Wigner Formulation of Noncommutative Quantum Mechanics

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

collaborators

29 papers

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…

quant-ph2015★ 23 cited

Bell operator and Gaussian squeezed states in noncommutative quantum mechanics

Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2

One examines putative corrections to the Bell operator due to the noncommutativity in the phase-space. Starting from a Gaussian squeezed envelop whose time evolution is driven by c…

quant-ph2014★ 26 cited

Phase-space noncommutative extension of the Robertson-Schroedinger formulation of Ozawa's uncertainty principle

Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2

We revisit Ozawa's uncertainty principle (OUP) in the framework of noncommutative (NC) quantum mechanics. We derive a matrix version of OUP accommodating any NC structure in the ph…

quant-ph2014★ 32 cited

Probing phase-space noncommutativity through quantum mechanics and thermodynamics of free particles and quantum rotors

Catarina Bastos, Alex E. Bernardini, Jonas F. G. Santos

Novel quantization properties related to the state vectors and the energy spectrum of a two-dimensional system of free particles are obtained in the framework of noncommutative (NC…