78 citations · 1.5k across the 126 of their papers we have counts for
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Toda-like Hamiltonian as a probe for quantized prey-predator dynamics
Alex E. Bernardini, Orfeu Bertolami
Phase-space features of a reduced version of the Toda-like Hamiltonian, , written in a form constrained by the condition $\partial^2 \mathcal{H} / \partial x \p…
Phase-space quantum distorted stability pattern for Aubry-André-Harper dynamics
Alex E. Bernardini, Orfeu Bertolami
Instability features associated to topological quantum domains which emerge from the Weyl-Wigner (WW) quantum phase-space description of Gaussian ensembles driven by Aubry-André-Ha…
Algebraic solutions for Hamiltonian eigensystems: generic statistical ensembles and a mesoscopic system application
Alex E. Bernardini, Roldao da Rocha
Solutions of generic Hamiltonian eigensystems are obtained through systematic manipulations of quartic polynomial equations. An {\em ansatz} for constructing s…
Extended Weyl-Wigner phase-space framework for non-linear systems: typical and modified prey-predator-like dynamics
Alex E. Bernardini, Orfeu Bertolami
The extension of the phase-space Weyl-Wigner quantum mechanics to the subset of Hamiltonians in the form of (with replacing single contrib…
Phase-space gaussian ensemble quantum camouflage
Alex E. Bernardini, Orfeu Bertolami
Extending the phase-space description of the Weyl-Wigner quantum mechanics to a subset of non-linear Hamiltonians in position and momentum, gaussian functions are identified as the…
Time Crystals and Phase-Space Noncommutative Quantum Mechanics
Orfeu Bertolami, A. E. Bernardini
We argue that time crystal properties naturally arise from phase-space noncommutative quantum mechanics. In order to exemplify our point we consider the 2-dimensional noncommutativ…