123 citations · 754 across the 28 of their papers we have counts for
5 papers · 2 filters
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…
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…
Phase-space noncommutative formulation of Ozawa's uncertainty principle
Catarina Bastos, Alex E. Bernardini, Orfeu Bertolami +2
Ozawa's measurement-disturbance relation is generalized to a phase-space noncommutative extension of quantum mechanics. It is shown that the measurement-disturbance relations have…