Alex Eduardo de Bernardini

• Abstract

  This project is compartmentalized into two steps closely connected to each other by the Weyl-Wigner formalism of Quantum Mechanics in phase space. We first resort to formal fundamental structures to describe intrinsic and extrinsic characters of decoherence, non-classicality, locality, and correlations between two quantum modes (in continuous variables) of Dirac-type quantum systems that …

  Quantum correlations for localized Dirac-like systems and Weyl-Wigner quantum mechanics extensions to non-linear systems, AP.R

• Abstract

  This project is compartmentalized into two closely connected stages.The first stage contemplates the development and the use of new fundamental structures of quantum mechanics described according to Wigner's representation in phase space as to qualitatively and quantitatively describe the content of decoherence, non-classicality, locality and even continuous variable correlations of two q…

  Fundamental structures of phase space quantum mechanics - Nonclassicality and classical-quantum correspondence applied to ordinary quantum mechanics and Dirac-like systems, AP.R

• Abstract

  Recently one has observed that the entanglement between SU(2) x SU(2) internal degrees of freedom of parity and helicity Dirac-like particles corresponding to SU(2) x SU(2) polarized structures can be straightforwardly translated into a useful theoretical tool for obtaining the spin-spin entanglement in the context of enlarged scenarios of nonrelativistic 2D systems, as for instance those…

  SU(2) x SU(2) bi-spinor structure entanglement and additional quantum correlations exhibited by Dirac-like systems as graphene and trapped ions, AP.R

(Only some records are available in English at this moment)

• Abstract

  This project contemplates the development and use of fundamental structures of Quantum Mechanics described through the Wigner representation in phase space to compute qualitatively and quantitatively the quantum correlation content of two-mode quantum systems (in continuous variables) associated to known solutions of the electron in a Coulomb potential of the Hydrogen atom Coulombian hydr…

  Wigner functions for electron quantum states in a Coulombian potential (hydrogen atom) and two-mode quantum correlations for quasi-Gaussian quantum superpositions, BP.IC

• Abstract

  This project proposes to implement, in an analytical way, the Weyl-Wigner (WW) formalism of quantum mechanics (MQ) in phase space, x-p, in non-linear systems of Hamiltonian character, H, generically described by H(x,p) = g(p) + f(x). In this type of research, the knowledge of the classical background is fundamental, both for testing the classical-quantum limits of exact quantum solutions,…

  Phase-space Weyl-Wigner's formalism for the calculation of quantum distortions in non-linear cyclic Hamiltonian systems and extensions to the Earth System, BE.PQ

• Abstract

  Quantum cosmology driven by minisuperespace models allows for the construction and analysis of the behavior of the wave functions (of the Universe) obtained from the Wheeler-DeWitt formulation (WDW). The most challenging proposal of any quantum model for the description of the Universe is precisely to find a classical correspondence consistent with all that we know from the cosmological s…

  The classical-quantum correspondence of cosmological scenarios from the analysis of Quantum Decoherence and Gaussian correlations, BE.PQ

• Abstract

  At first analysis, we introduce a generalized procedure for the Hamilton(Jacobi) formulation for field prescriptions (scalar, tachyonic, Thomas-Fermi, generalized Born-Infeld, etc.) of the fluid corresponding to the dark sector of the universe when it is eventually coupled to a generalized element the cosmic inventory (baryons, neutrinos and radiation) parametrized by an isentropic fluid.…

  Hamilton (Jacobi) formulation of the dark sector of the universe and contextualized studies on quantum cosmology and non-commutativity, BE.PQ