78 citations · 1.5k across the 126 of their papers we have counts for
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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…
Maximal correlation between flavor entanglement and oscillation damping due to localization effects
Victor A. S. V. Bittencourt, Celso J. Villas-Boas, Alex E. Bernardini
Localization effects and quantum decoherence driven by the mass-eigenstate wave packet propagation are shown to support a statistical correlation between quantum entanglement and d…
Spherically Symmetric Thick Branes Cosmological Evolution
Alex E. Bernardini, R. T. Cavalcanti, Roldao da Rocha
Spherically symmetric time-dependent solutions for the 5D system of a scalar field canonically coupled to gravity are obtained and identified as an extension of recent results obta…
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…
Robertson-Schrödinger formulation of Ozawa's Uncertainty Principle
Catarina Bastos, A. E. Bernardini, O. Bertolami +2
A more general measurement disturbance uncertainty principle is presented in a Robertson-Schrödinger formulation. It is shown that it is stronger and having nicer properties than O…
Entanglement and separability in the noncommutative phase-space scenario
Alex E. Bernardini, Catarina Bastos, Orfeu Bertolami +2
Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the ent…